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M .task/backlog.data M .task/completed.data M .task/pending.data M .task/undo.data R Writing/ERLM/goals-and-outcomes/research_statement.tex -> Writing/ERLM/1-goals-and-outcomes/research_statement.tex R Writing/ERLM/goals-and-outcomes/v1.tex -> Writing/ERLM/1-goals-and-outcomes/v1.tex R Writing/ERLM/goals-and-outcomes/v2.tex -> Writing/ERLM/1-goals-and-outcomes/v2.tex R Writing/ERLM/goals-and-outcomes/v3.tex -> Writing/ERLM/1-goals-and-outcomes/v3.tex
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[description:"Reach out to FSAE for job placement info and website content" due:"1764824400" entry:"1764681551" modified:"1764681551" project:"Chair-Search" status:"pending" uuid:"ca5f0450-483f-4a93-aba1-d06e71b4df5c"]
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[description:"Review and edit Budget section" due:"1764910800" entry:"1764681756" modified:"1764681756" project:"ERLM" status:"pending" tags:"editing" tags_editing:"x" uuid:"689420d6-7191-42b6-b691-94ad39c8e0dd"]
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new [description:"Review and edit State of the Art section" due:"1764910800" entry:"1764681755" modified:"1764796626" project:"ERLM" start:"1764796626" status:"pending" tags:"editing" tags_editing:"x" uuid:"0d921ea2-6211-4cd8-bbc4-4f9bf36794d3"]
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---
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old [description:"Review and edit State of the Art section" due:"1764910800" entry:"1764681755" modified:"1764796626" project:"ERLM" start:"1764796626" status:"pending" tags:"editing" tags_editing:"x" uuid:"0d921ea2-6211-4cd8-bbc4-4f9bf36794d3"]
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new [description:"Review and edit State of the Art section" due:"1764910800" end:"1764975592" entry:"1764681755" modified:"1764975592" project:"ERLM" status:"completed" tags:"editing" tags_editing:"x" uuid:"0d921ea2-6211-4cd8-bbc4-4f9bf36794d3"]
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old [description:"Review and edit Research Approach section" due:"1764910800" entry:"1764681755" modified:"1764681755" project:"ERLM" status:"pending" tags:"editing" tags_editing:"x" uuid:"9ce7d23c-0f56-49af-b97d-a684966cfbae"]
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new [description:"Review and edit Research Approach section" due:"1764910800" entry:"1764681755" modified:"1764976103" project:"ERLM" start:"1764976103" status:"pending" tags:"editing" tags_editing:"x" uuid:"9ce7d23c-0f56-49af-b97d-a684966cfbae"]
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old [description:"Review and edit Goals and Outcomes section" due:"1764910800" entry:"1764681755" modified:"1764689232" project:"ERLM" start:"1764689232" status:"pending" tags:"editing" tags_editing:"x" uuid:"0888fdb8-f5cd-4374-a589-b7b3c1bbd472"]
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new [description:"Review and edit Goals and Outcomes section" due:"1764910800" end:"1764982177" entry:"1764681755" modified:"1764982177" project:"ERLM" status:"completed" tags:"editing" tags_editing:"x" uuid:"0888fdb8-f5cd-4374-a589-b7b3c1bbd472"]
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old [description:"Review and edit Research Approach section" due:"1764910800" entry:"1764681755" modified:"1764976103" project:"ERLM" start:"1764976103" status:"pending" tags:"editing" tags_editing:"x" uuid:"9ce7d23c-0f56-49af-b97d-a684966cfbae"]
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new [description:"Review and edit Research Approach section" due:"1764910800" end:"1764982177" entry:"1764681755" modified:"1764982177" project:"ERLM" status:"completed" tags:"editing" tags_editing:"x" uuid:"9ce7d23c-0f56-49af-b97d-a684966cfbae"]
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---
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time 1764982196
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old [description:"Review and edit Metrics of Success section" due:"1764910800" entry:"1764681755" modified:"1764681755" project:"ERLM" status:"pending" tags:"editing" tags_editing:"x" uuid:"29cc8c63-1fb7-4523-9953-603467b929ee"]
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new [description:"Review and edit Metrics of Success section" due:"1764910800" entry:"1764681755" modified:"1764982196" project:"ERLM" start:"1764982196" status:"pending" tags:"editing" tags_editing:"x" uuid:"29cc8c63-1fb7-4523-9953-603467b929ee"]
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---
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@ -1,4 +1,3 @@
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\newpage
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\section{State of the Art and Limits of Current Practice}
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The principal aim of this research is to create autonomous reactor control
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@ -1,30 +1,7 @@
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\newpage
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\section{Research Approach}
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This research will overcome the limitations of current practice to build
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high-assurance hybrid control systems for critical infrastructure. Hybrid
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systems combine continuous dynamics (flows) with discrete transitions (jumps),
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which can be formally expressed as:
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\begin{equation}
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\dot{x}(t) = f(x(t),q(t),u(t))
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\end{equation}
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\begin{equation}
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q(k+1) = \nu(x(k),q(k),u(k))
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\end{equation}
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Here, $f(\cdot)$ defines the continuous dynamics while $\nu(\cdot)$ governs
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discrete transitions. The continuous states $x$, discrete state $q$, and
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control input $u$ interact to produce hybrid behavior. The discrete state $q$
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defines which continuous dynamics mode is currently active. Our focus centers
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on continuous autonomous hybrid systems, where continuous states remain
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unchanged during jumps—a property naturally exhibited by physical systems. For
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example, a nuclear reactor switching from warm-up to load-following control
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cannot instantaneously change its temperature or control rod position, but can
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instantaneously change control laws.
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To build these systems with formal correctness guarantees, we must accomplish
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high-assurance hybrid control systems for critical infrastructure. To build these systems with formal correctness guarantees, we must accomplish
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three main thrusts:
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\begin{enumerate}
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@ -34,50 +11,25 @@ three main thrusts:
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\item Create the discrete half of a hybrid controller using reactive synthesis
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\item Develop continuous controllers to operate between modes, and verify
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their correctness using reachability analysis
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their correctness
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\end{enumerate}
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The following sections discuss how these thrusts will be accomplished.
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\subsection{$(Procedures \wedge FRET) \rightarrow Temporal Specifications$}
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The motivation behind this work stems from the fact that commercial nuclear
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power operations remain manually controlled by human operators, despite
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significant advances in control systems sophistication. The key insight is that
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procedures performed by human operators are highly prescriptive and
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well-documented. This suggests that human operators in nuclear power plants may
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not be entirely necessary given today's available technology.
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power operations remain manually controlled by human operators, but procedures
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performed by human operators are highly prescriptive and well-documented. This
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suggests that human operators in nuclear power plants may not be entirely
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necessary given today's available technology. Written procedures and
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requirements in nuclear power are sufficiently detailed that we may be able to
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translate them into logical formulae with minimal effort. If successful, this
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approach would enable automation of existing procedures without requiring system
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reengineering. To formalize these procedures, we will use temporal logic, which
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captures system behaviors through temporal relations.
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Written procedures and requirements in nuclear power are sufficiently detailed
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that we may be able to translate them into logical formulae with minimal effort.
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If successful, this approach would enable automation of existing procedures
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without requiring system reengineering. To formalize these procedures, we will
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use temporal logic, which captures system behaviors through temporal relations.
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Linear Temporal Logic (LTL) provides four fundamental operators: next ($X$),
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eventually ($F$), globally ($G$), and until ($U$). These operators enable
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precise specification of time-dependent requirements.
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Consider a nuclear reactor SCRAM requirement expressed in natural language:
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\textit{``If a high temperature alarm triggers, control rods must immediately
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insert and remain inserted until operator reset.''} This plain language
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requirement can be translated into a rigorous logical specification:
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\begin{equation}
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G(HighTemp \rightarrow X(RodsInserted \wedge (\neg RodsWithdrawn\ U\
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OperatorReset)))
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\end{equation}
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This specification precisely captures the temporal relationship between the
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alarm condition, the required response, and the persistence requirement. The
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global operator $G$ ensures this property holds throughout system operation,
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while the next operator $X$ enforces immediate response. The until operator
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$U$ maintains the state constraint until the reset condition occurs.
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The most efficient path to accomplish this translation is through NASA's
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Formal Requirements Elicitation Tool (FRET). FRET employs a specialized
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requirements language called FRETish that restricts requirements to easily
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understood components while eliminating ambiguity. FRETish bridges natural
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The most efficient path to accomplish this translation is through NASA's Formal
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Requirements Elicitation Tool (FRET). FRET employs a specialized requirements
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language called FRETish that restricts requirements to easily understood
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components while eliminating ambiguity~\cite{katis_capture_2022}. FRETish bridges natural
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language and mathematical specifications through a structured English-like
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syntax that is automatically translatable to temporal logic.
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@ -111,12 +63,35 @@ during autonomous controller development, we can deliver controllers free from
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these vulnerabilities.
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FRET provides the capability to export requirements in temporal logic format
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compatible with reactive synthesis tools. This export functionality enables
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progression to the next step of our approach: synthesizing discrete mode
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switching behavior from the formalized requirements.
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compatible with reactive synthesis tools. Linear Temporal Logic (LTL) builds
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upon modal logic's foundational operators for necessity ($\Box$, ``box'') and
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possibility ($\Diamond$, ``diamond''), extending them to reason about temporal
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behavior~\cite{baier_principles_2008}. The box operator $\Box$ expresses that a
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property holds at all future times (necessarily always), while the diamond
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operator $\Diamond$ expresses that a property holds at some future time
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(possibly eventually). These are complemented by the next operator ($X$) for the
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immediate successor state and the until operator ($U$) for expressing
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persistence conditions.
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\subsection{$(TemporalLogic \wedge ReactiveSynthesis) \rightarrow
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DiscreteAutomata$}
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Consider a nuclear reactor SCRAM requirement expressed in natural language:
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\textit{``If a high temperature alarm triggers, control rods must immediately
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insert and remain inserted until operator reset.''} This plain language
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requirement can be translated into a rigorous logical specification:
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\begin{equation}
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\Box(HighTemp \rightarrow X(RodsInserted \wedge (\neg
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RodsWithdrawn\ U\ OperatorReset)))
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\end{equation}
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This specification precisely captures the temporal relationship between the
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alarm condition, the required response, and the persistence requirement. The
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necessity operator $\Box$ ensures this safety property holds throughout all
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possible future system executions, while the next operator $X$ enforces
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immediate response. The until operator $U$ maintains the state constraint until
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the reset condition occurs. There is no ambiguity on the control in this
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scenario because all decisions are represented by discrete variables.
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Formulating operating rules using this logic enforces a finite and correct way
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of operating.
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Reactive synthesis is an active research field in computer science focused on
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generating discrete controllers from temporal logic specifications. The term
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@ -135,8 +110,9 @@ finite state representations.
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We will employ state-of-the-art reactive synthesis tools, particularly Strix,
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which has demonstrated superior performance in the Reactive Synthesis
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Competition (SYNTCOMP) through efficient parity game solving algorithms. Strix
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translates linear temporal logic specifications into deterministic automata
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Competition (SYNTCOMP) through efficient parity game solving
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algorithms~\cite{meyer_strix_2018,jacobs_reactive_2024}. Strix
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translates linear temporal logic specifications into deterministic autom\cite
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automatically while maximizing generated automata quality. Once constructed, the
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automaton can be straightforwardly implemented using standard programming
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control flow constructs. The graphical representation provided by the automaton
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@ -158,15 +134,30 @@ will not make switching errors between continuous modes. By synthesizing
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controllers from logical specifications with guaranteed correctness, we
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eliminate the possibility of switching errors.
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\subsection{$(DiscreteAutomata \wedge ControlTheory \wedge Reachability)
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\rightarrow ContinuousModes$}
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While discrete system components will be synthesized with correctness
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guarantees, they represent only half of the complete system. Autonomous
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controllers like those we are developing exhibit continuous dynamics within
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discrete states, as described by $f(\cdot)$ in Equation 1. This section
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describes how we will develop continuous control modes, verify their
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correctness, and address the unique verification challenges of hybrid systems.
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discrete states. These systems, called hybrid systems, combine continuous
|
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dynamics (flows) with discrete transitions (jumps). These dynamics can be
|
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formally expressed as~\cite{branicky_multiple_1998}:
|
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|
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\begin{equation}
|
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\dot{x}(t) = f(x(t),q(t),u(t))
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\end{equation}
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|
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\begin{equation}
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q(k+1) = \nu(x(k),q(k),u(k))
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\end{equation}
|
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|
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Here, $f(\cdot)$ defines the continuous dynamics while $\nu(\cdot)$ governs
|
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discrete transitions. The continuous states $x$, discrete state $q$, and
|
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control input $u$ interact to produce hybrid behavior. The discrete state $q$
|
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defines which continuous dynamics mode is currently active. Our focus centers
|
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on continuous autonomous hybrid systems, where continuous states remain
|
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unchanged during jumps—a property naturally exhibited by physical systems. For
|
||||
example, a nuclear reactor switching from warm-up to load-following control
|
||||
cannot instantaneously change its temperature or control rod position, but can
|
||||
instantaneously change control laws.
|
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|
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The approach described for producing discrete automata yields physics-agnostic
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specifications that represent only half of a complete hybrid autonomous
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@ -211,67 +202,70 @@ on discrete mode transitions:
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Building continuous modes after constructing discrete automata enables local
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controller design focused on satisfying discrete transitions. The primary
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challenge in hybrid system verification is ensuring global stability across
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transitions. Current techniques struggle with this problem because dynamic
|
||||
discontinuities complicate verification. This work alleviates these problems by
|
||||
designing continuous controllers specifically with transitions in mind. By
|
||||
decomposing continuous modes according to their required behavior at transition
|
||||
points, we avoid solving trajectories through the entire hybrid system. Instead,
|
||||
we can use local behavior information at transition boundaries. To ensure
|
||||
continuous modes satisfy their requirements, we will employ three main
|
||||
techniques: reachability analysis, assume-guarantee contracts, and barrier
|
||||
certificates.
|
||||
transitions~\cite{branicky_multiple_1998}. Current techniques struggle with this
|
||||
problem because dynamic discontinuities complicate
|
||||
verification~\cite{bansal_hamilton-jacobi_2017,guernic_reachability_2009}. This work
|
||||
alleviates these problems by designing continuous controllers specifically with
|
||||
transitions in mind. By decomposing continuous modes according to their required
|
||||
behavior at transition points, we avoid solving trajectories through the entire
|
||||
hybrid system. Instead, we can use local behavior information at transition
|
||||
boundaries. To ensure continuous modes satisfy their requirements, we will
|
||||
employ three main techniques: reachability analysis, assume-guarantee contracts,
|
||||
and barrier certificates.
|
||||
|
||||
\textbf{Reachability Analysis:} Reachability analysis computes the reachable set
|
||||
of states for a given input set. While trivial for linear continuous systems,
|
||||
recent advances have extended reachability to complex nonlinear systems. We will
|
||||
use reachability to define continuous state ranges at discrete transition
|
||||
boundaries and verify that requirements are satisfied within continuous modes.
|
||||
Recent advances using neural network approximations of Hamilton-Jacobi equations
|
||||
have demonstrated significant speedups while maintaining safety guarantees for
|
||||
high-dimensional systems, expanding the practical applicability of these
|
||||
methods.
|
||||
|
||||
\textbf{Assume-Guarantee Contracts:} Assume-guarantee contracts will be
|
||||
employed when continuous state boundaries are not explicitly defined. For any
|
||||
given mode, the input range for reachability analysis is defined by the output
|
||||
ranges of discrete modes that transition to it. This compositional approach
|
||||
ensures each continuous controller is prepared for its possible input range,
|
||||
enabling subsequent reachability analysis without requiring global system
|
||||
analysis.
|
||||
|
||||
\textbf{Barrier Certificates:} Finally, we will use barrier certificates to
|
||||
Reachability analysis computes the reachable set of states for a given input
|
||||
set. While trivial for linear continuous systems, recent advances have extended
|
||||
reachability to complex nonlinear
|
||||
systems~\cite{frehse_spaceex_2011,mitchell_time-dependent_2005}. We will use
|
||||
reachability to define continuous state ranges at discrete transition boundaries
|
||||
and verify that requirements are satisfied within continuous modes.
|
||||
Assume-guarantee contracts will be employed when continuous state boundaries are
|
||||
not explicitly defined. For any given mode, the input range for reachability
|
||||
analysis is defined by the output ranges of discrete modes that transition to
|
||||
it. This compositional approach ensures each continuous controller is prepared
|
||||
for its possible input range, enabling subsequent reachability analysis without
|
||||
requiring global system analysis. Finally, we will use barrier certificates to
|
||||
prove that mode transitions are satisfied. Barrier certificates ensure that
|
||||
continuous modes on either side of a transition behave appropriately. Control
|
||||
barrier functions provide a method to certify safety by establishing
|
||||
differential inequality conditions that guarantee forward invariance of safe
|
||||
sets. For example, a barrier certificate can guarantee that a transitory mode
|
||||
transferring control to a stabilizing mode will always move away from the
|
||||
transition boundary, rather than destabilizing the target stabilizing mode.
|
||||
continuous modes on either side of a transition behave appropriately by ensuring
|
||||
no system trajectories cross a given barrier. Control barrier functions provide
|
||||
a method to certify safety by establishing differential inequality conditions
|
||||
that guarantee forward invariance of safe sets~\cite{prajna_safety_2004}. For
|
||||
example, a barrier certificate can guarantee that a transitory mode transferring
|
||||
control to a stabilizing mode will always move away from the transition
|
||||
boundary, rather than destabilizing the target stabilizing mode.
|
||||
|
||||
Combining these three techniques will enable us to prove that continuous
|
||||
components of our hybrid controller satisfy discrete requirements, and thus,
|
||||
complete system behavior. To demonstrate this methodology, we will develop an
|
||||
This compositional approach has several advantages. First, this research
|
||||
approach breaks down the autonomous controller design into smaller chunks. For
|
||||
designers of future autonomous control systems, the barrier to entry is small,
|
||||
while milestones in design are clear by the procedural nature of this research
|
||||
plan. Second, the ability to measure design progress also enables the
|
||||
measurement of regulatory adherence. Each step in this development procedure
|
||||
generates an artifact that can be independently evaluated as proof of safety and
|
||||
performance. Finally, the compositional component of this development plan
|
||||
enables incremental refinement between control system layers. For example,
|
||||
difficulty in developing a continuous mode may reflect a discrete automata that
|
||||
is too restrictive, which in turn may result in refinement of system design
|
||||
requirements. This synthesis between levels will promote broader understanding
|
||||
of the autonomous controller.
|
||||
|
||||
To demonstrate this methodology, we will develop an
|
||||
autonomous startup controller for a Small Modular Advanced High Temperature
|
||||
Reactor (SmAHTR). SmAHTR represents an ideal test case as a liquid-salt cooled
|
||||
reactor design with well-documented startup procedures that must transition
|
||||
through multiple distinct operational modes: initial cold conditions, controlled
|
||||
heating to operating temperature, approach to criticality, low-power physics
|
||||
testing, and power ascension to full operating capacity. We have already
|
||||
developed a high-fidelity SmAHTR model in Simulink that captures the
|
||||
thermal-hydraulic and neutron kinetics behavior essential for verifying
|
||||
continuous controller performance under realistic plant dynamics. The
|
||||
synthesized hybrid controller will be implemented on an Emerson Ovation control
|
||||
system platform, which is representative of industry-standard control hardware
|
||||
deployed in modern nuclear facilities. The Advanced Reactor Cyber Analysis and
|
||||
Development Environment (ARCADE) suite will serve as the integration layer,
|
||||
managing real-time communication between the Simulink simulation and the Ovation
|
||||
controller. This hardware-in-the-loop configuration enables validation of the
|
||||
controller implementation on actual industrial control equipment interfacing
|
||||
with a realistic reactor simulation, providing assessment of computational
|
||||
performance, real-time execution constraints, and communication latency effects.
|
||||
By demonstrating autonomous startup control on this representative platform, we
|
||||
will establish both the theoretical validity and practical feasibility of the
|
||||
synthesis methodology for deployment in actual small modular reactor systems.
|
||||
Reactor (SmAHTR). We have already developed a high-fidelity SmAHTR model in
|
||||
Simulink that captures the thermal-hydraulic and neutron kinetics behavior
|
||||
essential for verifying continuous controller performance under realistic plant
|
||||
dynamics. The synthesized hybrid controller will be implemented on an Emerson
|
||||
Ovation control system platform, which is representative of industry-standard
|
||||
control hardware deployed in modern nuclear facilities. The Advanced Reactor
|
||||
Cyber Analysis and Development Environment (ARCADE) suite will serve as the
|
||||
integration layer, managing real-time communication between the Simulink
|
||||
simulation and the Ovation controller. This hardware-in-the-loop configuration
|
||||
enables validation of the controller implementation on actual industrial control
|
||||
equipment interfacing with a realistic reactor simulation, providing assessment
|
||||
of computational performance, real-time execution constraints, and communication
|
||||
latency effects. By demonstrating autonomous startup control on this
|
||||
representative platform, we will establish both the theoretical validity and
|
||||
practical feasibility of the synthesis methodology for deployment in actual
|
||||
small modular reactor systems.
|
||||
|
||||
This unified approach addresses a fundamental gap in hybrid system design by
|
||||
bridging formal methods and control theory through a systematic, tool-supported
|
||||
@ -1,10 +1,10 @@
|
||||
\section{Supplemental Sections}
|
||||
\subsection{Biosketch}
|
||||
|
||||
\includepdf[pages=-]{supplemental-sections/cv-1786798.pdf}
|
||||
\includepdf[pages=-]{9-supplemental-sections/cv-1786798.pdf}
|
||||
|
||||
\subsection{Data Management Plan}
|
||||
\includepdf[pages=-]{supplemental-sections/High_Assurance_Autonomous_Control_Systems.pdf}
|
||||
\includepdf[pages=-]{9-supplemental-sections/High_Assurance_Autonomous_Control_Systems.pdf}
|
||||
|
||||
\subsection{Facilities}
|
||||
|
||||
@ -3,9 +3,9 @@
|
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|
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\citation{branicky_multiple_1998}
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\citation{branicky_multiple_1998}
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\citation{bansal_hamilton-jacobi_2017,guernic_reachability_2009}
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\citation{frehse_spaceex_2011,mitchell_time-dependent_2005}
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\citation{prajna_safety_2004}
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\citation{eia_lcoe_2022}
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\citation{eia_lcoe_2022}
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\bibstyle{ieeetr}
|
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\bibdata{references}
|
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\bibcite{NUREG-0899}{1}
|
||||
@ -49,7 +55,19 @@
|
||||
\bibcite{hogberg_root_2013}{11}
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\bibcite{zhang_analysis_2025}{12}
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\bibcite{Kiniry2024}{13}
|
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\bibcite{katis_capture_2022}{14}
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\bibcite{baier_principles_2008}{15}
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\bibcite{jacobs_reactive_2024}{17}
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\bibcite{branicky_multiple_1998}{18}
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\bibcite{bansal_hamilton-jacobi_2017}{19}
|
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\bibcite{guernic_reachability_2009}{20}
|
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\bibcite{frehse_spaceex_2011}{21}
|
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\bibcite{mitchell_time-dependent_2005}{22}
|
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\bibcite{prajna_safety_2004}{23}
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\bibcite{eia_lcoe_2022}{24}
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|
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@ -41,4 +41,43 @@ M.~Zhang, L.~Dai, W.~Chen, and E.~Pang, ``Analysis of human errors in nuclear po
|
||||
J.~Kiniry, A.~Bakst, S.~Hansen, M.~Podhradsky, and A.~Bivin, ``High assurance rigorous digital engineering for nuclear safety (hardens) final technical report,'' Tech. Rep. TLR-RES-RES/DE-2024-005, Galois, Inc. / U.S. Nuclear Regulatory Commission, 2024.
|
||||
\newblock NRC Contract 31310021C0014.
|
||||
|
||||
\bibitem{katis_capture_2022}
|
||||
A.~Katis, A.~Mavridou, D.~Giannakopoulou, T.~Pressburger, and J.~Schumann, ``Capture, analyze, diagnose: Realizability checking of requirements in {FRET},'' in {\em Computer Aided Verification} (S.~Shoham and Y.~Vizel, eds.), pp.~490--504, Springer International Publishing.
|
||||
|
||||
\bibitem{baier_principles_2008}
|
||||
C.~Baier and J.-P. Katoen, {\em Principles of Model Checking}.
|
||||
\newblock {MIT} Press.
|
||||
|
||||
\bibitem{meyer_strix_2018}
|
||||
P.~J. Meyer, S.~Sickert, and M.~Luttenberger, ``Strix: Explicit reactive synthesis strikes back!,'' in {\em Computer Aided Verification} (H.~Chockler and G.~Weissenbacher, eds.), pp.~578--586, Springer International Publishing.
|
||||
|
||||
\bibitem{jacobs_reactive_2024}
|
||||
S.~Jacobs {\em et~al.}, ``The reactive synthesis competition ({SYNTCOMP}): 2018-2021.''
|
||||
|
||||
\bibitem{branicky_multiple_1998}
|
||||
M.~Branicky, ``Multiple lyapunov functions and other analysis tools for switched and hybrid systems,'' vol.~43, no.~4, pp.~475--482.
|
||||
|
||||
\bibitem{bansal_hamilton-jacobi_2017}
|
||||
S.~Bansal, M.~Chen, S.~Herbert, and C.~J. Tomlin, ``Hamilton-jacobi reachability: A brief overview and recent advances,'' in {\em 2017 {IEEE} 56th Annual Conference on Decision and Control ({CDC})}, pp.~2242--2253.
|
||||
|
||||
\bibitem{guernic_reachability_2009}
|
||||
C.~L. Guernic, ``Reachability analysis of hybrid systems with linear continuous dynamics.''
|
||||
|
||||
\bibitem{frehse_spaceex_2011}
|
||||
G.~Frehse, C.~Le~Guernic, A.~Donzé, S.~Cotton, R.~Ray, O.~Lebeltel, R.~Ripado, A.~Girard, T.~Dang, and O.~Maler, ``{SpaceEx}: Scalable verification of hybrid systems,'' in {\em Computer Aided Verification} (G.~Gopalakrishnan and S.~Qadeer, eds.), pp.~379--395, Springer.
|
||||
|
||||
\bibitem{mitchell_time-dependent_2005}
|
||||
I.~Mitchell, A.~Bayen, and C.~Tomlin, ``A time-dependent hamilton-jacobi formulation of reachable sets for continuous dynamic games,'' vol.~50, no.~7, pp.~947--957.
|
||||
|
||||
\bibitem{prajna_safety_2004}
|
||||
S.~Prajna and A.~Jadbabaie, ``Safety verification of hybrid systems using barrier certificates,'' in {\em Hybrid Systems: Computation and Control} (R.~Alur and G.~J. Pappas, eds.), pp.~477--492, Springer.
|
||||
|
||||
\bibitem{eia_lcoe_2022}
|
||||
{U.S. Energy Information Administration}, ``Levelized costs of new generation resources in the annual energy outlook 2022,'' report, U.S. Energy Information Administration, March 2022.
|
||||
\newblock See Table 1b, page 9.
|
||||
|
||||
\bibitem{eesi_datacenter_2024}
|
||||
{Environmental and Energy Study Institute}, ``Data center energy needs are upending power grids and threatening the climate.'' Web article, 2024.
|
||||
\newblock Accessed: 2025-09-29.
|
||||
|
||||
\end{thebibliography}
|
||||
|
||||
@ -9,53 +9,64 @@ Warning--entry type for "operator_statistics" isn't style-file defined
|
||||
--line 45 of file references.bib
|
||||
Warning--entry type for "10CFR50.54" isn't style-file defined
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||||
--line 59 of file references.bib
|
||||
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Warning--I didn't find a database entry for "eesi_datacenter_2024"
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Warning--entry type for "guernic_reachability_2009" isn't style-file defined
|
||||
--line 221 of file references.bib
|
||||
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|
||||
Warning--empty author in WRPS.Description
|
||||
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|
||||
Warning--empty journal in hogberg_root_2013
|
||||
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|
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|
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You've used 13 entries,
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||||
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|
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|
||||
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|
||||
Warning--empty year in frehse_spaceex_2011
|
||||
Warning--empty journal in mitchell_time-dependent_2005
|
||||
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|
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|
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609 strings with 7729 characters,
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[6] [7] [8] [9]) (./metrics-of-success/v1.tex [10] [11]) (./risks-and-contingencies/v1.tex [12] [13] [14]) (./broader-impacts/v1.tex [15]
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\OT1/cmtt/m/n/12 nuclear . org / information -[] library / safety -[] and -[] security / safety -[] of -[]
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[] []\OT1/ptm/b/n/12 Uni-ver-sity In-fras-truc-ture[] \OT1/ptm/m/n/12 The Uni-ver-sity of Pitts-burgh pro-vides com-pre-hen-sive MAT-LAB/Simulink
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note = {NRC Contract 31310021C0014}
|
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|
||||
|
||||
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|
||||
author = {{U.S. Energy Information Administration}},
|
||||
title = {Levelized Costs of New Generation Resources in the Annual Energy Outlook 2022},
|
||||
institution = {U.S. Energy Information Administration},
|
||||
year = {2022},
|
||||
month = {March},
|
||||
type = {Report},
|
||||
url = {https://www.eia.gov/outlooks/aeo/pdf/electricity_generation.pdf},
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||||
note = {See Table 1b, page 9}
|
||||
}
|
||||
|
||||
@misc{eesi_datacenter_2024,
|
||||
author = {{Environmental and Energy Study Institute}},
|
||||
title = {Data Center Energy Needs Are Upending Power Grids and Threatening the Climate},
|
||||
howpublished = {Web article},
|
||||
year = {2024},
|
||||
url = {https://www.eesi.org/articles/view/data-center-energy-needs-are-upending-power-grids-and-threatening-the-climate},
|
||||
note = {Accessed: 2025-09-29}
|
||||
}
|
||||
|
||||
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|
||||
location = {Cambridge, {MA}, {USA}},
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||||
title = {Principles of Model Checking},
|
||||
isbn = {978-0-262-02649-9},
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||||
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||||
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||||
publisher = {{MIT} Press},
|
||||
author = {Baier, Christel and Katoen, Joost-Pieter},
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||||
date = {2008-04-25},
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langid = {english},
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||||
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||||
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|
||||
location = {Cham},
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||||
title = {Capture, Analyze, Diagnose: Realizability Checking Of Requirements in {FRET}},
|
||||
isbn = {978-3-031-13188-2},
|
||||
doi = {10.1007/978-3-031-13188-2_24},
|
||||
shorttitle = {Capture, Analyze, Diagnose},
|
||||
pages = {490--504},
|
||||
booktitle = {Computer Aided Verification},
|
||||
publisher = {Springer International Publishing},
|
||||
author = {Katis, Andreas and Mavridou, Anastasia and Giannakopoulou, Dimitra and Pressburger, Thomas and Schumann, Johann},
|
||||
editor = {Shoham, Sharon and Vizel, Yakir},
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||||
date = {2022},
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||||
langid = {english},
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|
||||
|
||||
@inproceedings{meyer_strix_2018,
|
||||
location = {Cham},
|
||||
title = {Strix: Explicit Reactive Synthesis Strikes Back!},
|
||||
isbn = {978-3-319-96145-3},
|
||||
doi = {10.1007/978-3-319-96145-3_31},
|
||||
shorttitle = {Strix},
|
||||
pages = {578--586},
|
||||
booktitle = {Computer Aided Verification},
|
||||
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|
||||
author = {Meyer, Philipp J. and Sickert, Salomon and Luttenberger, Michael},
|
||||
editor = {Chockler, Hana and Weissenbacher, Georg},
|
||||
date = {2018},
|
||||
langid = {english},
|
||||
}
|
||||
|
||||
@misc{jacobs_reactive_2024,
|
||||
title = {The Reactive Synthesis Competition ({SYNTCOMP}): 2018-2021},
|
||||
url = {http://arxiv.org/abs/2206.00251},
|
||||
doi = {10.48550/arXiv.2206.00251},
|
||||
shorttitle = {The Reactive Synthesis Competition ({SYNTCOMP})},
|
||||
number = {{arXiv}:2206.00251},
|
||||
publisher = {{arXiv}},
|
||||
author = {Jacobs, Swen and others},
|
||||
urldate = {2025-12-06},
|
||||
date = {2024-05-06},
|
||||
eprinttype = {arxiv},
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||||
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||||
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||||
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||||
}
|
||||
|
||||
@article{branicky_multiple_1998,
|
||||
title = {Multiple Lyapunov functions and other analysis tools for switched and hybrid systems},
|
||||
volume = {43},
|
||||
issn = {1558-2523},
|
||||
url = {https://ieeexplore.ieee.org/document/664150},
|
||||
doi = {10.1109/9.664150},
|
||||
pages = {475--482},
|
||||
number = {4},
|
||||
journaltitle = {{IEEE} Transactions on Automatic Control},
|
||||
author = {Branicky, M.S.},
|
||||
urldate = {2025-09-10},
|
||||
date = {1998-04},
|
||||
keywords = {Automata, Control systems, Difference equations, Differential equations, Lagrangian functions, Limit-cycles, Lyapunov method, Stability analysis, Switched systems, Switches},
|
||||
file = {PDF:/home/danesabo/Zotero/storage/5AQWDPAA/Branicky - 1998 - Multiple Lyapunov functions and other analysis tools for switched and hybrid systems.pdf:application/pdf},
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||||
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|
||||
|
||||
@thesis{guernic_reachability_2009,
|
||||
title = {Reachability Analysis of Hybrid Systems with Linear Continuous Dynamics},
|
||||
url = {https://theses.hal.science/tel-00422569},
|
||||
institution = {Université Joseph-Fourier - Grenoble I},
|
||||
type = {phdthesis},
|
||||
author = {Guernic, Colas Le},
|
||||
urldate = {2025-09-14},
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||||
date = {2009-10-28},
|
||||
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|
||||
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||||
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|
||||
|
||||
@inproceedings{alur_hybrid_1993,
|
||||
location = {Berlin, Heidelberg},
|
||||
title = {Hybrid automata: An algorithmic approach to the specification and verification of hybrid systems},
|
||||
isbn = {978-3-540-48060-0},
|
||||
doi = {10.1007/3-540-57318-6_30},
|
||||
shorttitle = {Hybrid automata},
|
||||
pages = {209--229},
|
||||
booktitle = {Hybrid Systems},
|
||||
publisher = {Springer},
|
||||
author = {Alur, Rajeev and Courcoubetis, Costas and Henzinger, Thomas A. and Ho, Pei -Hsin},
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editor = {Grossman, Robert L. and Nerode, Anil and Ravn, Anders P. and Rischel, Hans},
|
||||
date = {1993},
|
||||
langid = {english},
|
||||
keywords = {Acceptance Condition, Hybrid Automaton, Hybrid System, Mutual Exclusion, Reachability Problem},
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file = {Full Text PDF:/home/danesabo/Zotero/storage/WBXYUC86/Alur et al. - 1993 - Hybrid automata An algorithmic approach to the specification and verification of hybrid systems.pdf:application/pdf},
|
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}
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|
||||
@article{mitchell_time-dependent_2005,
|
||||
title = {A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games},
|
||||
volume = {50},
|
||||
issn = {1558-2523},
|
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url = {https://ieeexplore.ieee.org/abstract/document/1463302},
|
||||
doi = {10.1109/TAC.2005.851439},
|
||||
pages = {947--957},
|
||||
number = {7},
|
||||
journaltitle = {{IEEE} Transactions on Automatic Control},
|
||||
author = {Mitchell, I.M. and Bayen, A.M. and Tomlin, C.J.},
|
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urldate = {2025-09-15},
|
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date = {2005-07},
|
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keywords = {Aircraft, Collaborative software, Collision avoidance, Computational modeling, Differential games, Hamilton–Jacobi equations, Nonlinear equations, Nonlinear systems, Partial differential equations, reachability, Trajectory, Vehicle dynamics, verification, Viscosity},
|
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file = {Snapshot:/home/danesabo/Zotero/storage/SLKV9PEI/1463302.html:text/html;Submitted Version:/home/danesabo/Zotero/storage/9YWL2UDH/Mitchell et al. - 2005 - A time-dependent Hamilton-Jacobi formulation of reachable sets for continuous dynamic games.pdf:application/pdf},
|
||||
}
|
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|
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@inproceedings{frehse_spaceex_2011,
|
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location = {Berlin, Heidelberg},
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title = {{SpaceEx}: Scalable Verification of Hybrid Systems},
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isbn = {978-3-642-22110-1},
|
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doi = {10.1007/978-3-642-22110-1_30},
|
||||
shorttitle = {{SpaceEx}},
|
||||
pages = {379--395},
|
||||
booktitle = {Computer Aided Verification},
|
||||
publisher = {Springer},
|
||||
author = {Frehse, Goran and Le Guernic, Colas and Donzé, Alexandre and Cotton, Scott and Ray, Rajarshi and Lebeltel, Olivier and Ripado, Rodolfo and Girard, Antoine and Dang, Thao and Maler, Oded},
|
||||
editor = {Gopalakrishnan, Ganesh and Qadeer, Shaz},
|
||||
date = {2011},
|
||||
langid = {english},
|
||||
keywords = {Hybrid Automaton, Hybrid System, Reachability Analysis, Reachable State, Support Function},
|
||||
file = {Full Text PDF:/home/danesabo/Zotero/storage/LPQK8GY2/Frehse et al. - 2011 - SpaceEx Scalable Verification of Hybrid Systems.pdf:application/pdf},
|
||||
}
|
||||
|
||||
@inproceedings{bansal_hamilton-jacobi_2017,
|
||||
title = {Hamilton-Jacobi reachability: A brief overview and recent advances},
|
||||
url = {https://ieeexplore.ieee.org/abstract/document/8263977},
|
||||
doi = {10.1109/CDC.2017.8263977},
|
||||
shorttitle = {Hamilton-Jacobi reachability},
|
||||
eventtitle = {2017 {IEEE} 56th Annual Conference on Decision and Control ({CDC})},
|
||||
pages = {2242--2253},
|
||||
booktitle = {2017 {IEEE} 56th Annual Conference on Decision and Control ({CDC})},
|
||||
author = {Bansal, Somil and Chen, Mo and Herbert, Sylvia and Tomlin, Claire J.},
|
||||
urldate = {2025-09-15},
|
||||
date = {2017-12},
|
||||
keywords = {Aircraft, Games, Level set, Safety, Tools, Trajectory, Tutorials},
|
||||
file = {Snapshot:/home/danesabo/Zotero/storage/EEK5IE93/8263977.html:text/html;Submitted Version:/home/danesabo/Zotero/storage/BMNLZ9DW/Bansal et al. - 2017 - Hamilton-Jacobi reachability A brief overview and recent advances.pdf:application/pdf},
|
||||
}
|
||||
|
||||
@inproceedings{prajna_safety_2004,
|
||||
location = {Berlin, Heidelberg},
|
||||
title = {Safety Verification of Hybrid Systems Using Barrier Certificates},
|
||||
isbn = {978-3-540-24743-2},
|
||||
doi = {10.1007/978-3-540-24743-2_32},
|
||||
pages = {477--492},
|
||||
booktitle = {Hybrid Systems: Computation and Control},
|
||||
publisher = {Springer},
|
||||
author = {Prajna, Stephen and Jadbabaie, Ali},
|
||||
editor = {Alur, Rajeev and Pappas, George J.},
|
||||
date = {2004},
|
||||
langid = {english},
|
||||
keywords = {Continuous State, Discrete Transition, Hybrid System, Integral Constraint, Reachability Analysis},
|
||||
}
|
||||
|
||||
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