Auto sync: 2025-09-14 22:04:41 (11 files changed)
M .task/backlog.data M .task/pending.data M .task/undo.data M Writing/ERLM/dane_proposal_format.cls M Writing/ERLM/main.aux M Writing/ERLM/main.fdb_latexmk M Writing/ERLM/main.fls M Writing/ERLM/main.log
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@ -33,3 +33,4 @@
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{"description":"Read Branicky Lyapunov paper","entry":"20250911T183429Z","modified":"20250911T201816Z","project":"Thesis","status":"pending","uuid":"f4d32147-ec74-4f68-b8d5-146c0b6f35df","tags":["reading"]}
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||||
{"description":"Write zettel about lipschitz continuity","entry":"20250911T211029Z","modified":"20250911T211029Z","status":"pending","uuid":"b7f68988-8c06-4d18-bf77-91d7e39fd55f","tags":["zk"]}
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{"description":"Read Branicky Lyapunov paper","end":"20250911T214953Z","entry":"20250911T183429Z","modified":"20250911T214953Z","project":"Thesis","status":"completed","uuid":"f4d32147-ec74-4f68-b8d5-146c0b6f35df","tags":["reading"]}
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{"description":"Write first draft of state of the art","due":"20250912T040000Z","entry":"20250909T203258Z","modified":"20250915T003655Z","project":"ERLM","start":"20250915T003655Z","status":"pending","uuid":"4bec1530-18bc-43cb-9f0b-61e35dbf1730","tags":["writing"],"depends":["8e7a8e19-9197-4008-b7d9-521ffcf7ba91","96c76e6b-5c33-4f54-a156-5c59e718f01a","f4d32147-ec74-4f68-b8d5-146c0b6f35df"]}
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@ -2,7 +2,7 @@
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[description:"Write zettels about webofscience database" entry:"1757443242" modified:"1757443242" project:"zk" status:"pending" uuid:"9cb17c85-f1e6-4280-86da-a5af8f229b15"]
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[description:"Look over obsidian tasks and see if anything is worth moving over" entry:"1757443262" modified:"1757443262" status:"pending" tags:"taskwarrior" tags_taskwarrior:"x" uuid:"c1a5390d-5b84-4f9c-8acb-ffb970682660"]
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[description:"Look around for summer internships with national labs" entry:"1757449731" modified:"1757449731" status:"pending" uuid:"d3f3dc53-4feb-4b7e-8de5-86ebf3c535d5"]
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[dep_8e7a8e19-9197-4008-b7d9-521ffcf7ba91:"x" dep_96c76e6b-5c33-4f54-a156-5c59e718f01a:"x" dep_f4d32147-ec74-4f68-b8d5-146c0b6f35df:"x" depends:"8e7a8e19-9197-4008-b7d9-521ffcf7ba91,96c76e6b-5c33-4f54-a156-5c59e718f01a,f4d32147-ec74-4f68-b8d5-146c0b6f35df" description:"Write first draft of state of the art" due:"1757649600" entry:"1757449978" modified:"1757885608" project:"ERLM" status:"pending" tags:"writing" tags_writing:"x" uuid:"4bec1530-18bc-43cb-9f0b-61e35dbf1730"]
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[dep_8e7a8e19-9197-4008-b7d9-521ffcf7ba91:"x" dep_96c76e6b-5c33-4f54-a156-5c59e718f01a:"x" dep_f4d32147-ec74-4f68-b8d5-146c0b6f35df:"x" depends:"8e7a8e19-9197-4008-b7d9-521ffcf7ba91,96c76e6b-5c33-4f54-a156-5c59e718f01a,f4d32147-ec74-4f68-b8d5-146c0b6f35df" description:"Write first draft of state of the art" due:"1757649600" entry:"1757449978" modified:"1757896615" project:"ERLM" start:"1757896615" status:"pending" tags:"writing" tags_writing:"x" uuid:"4bec1530-18bc-43cb-9f0b-61e35dbf1730"]
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[description:"get FSAE COM and track data to Matt barry for statics problem. He also wants a cad model?" due:"1758254400" entry:"1757515988" modified:"1757515988" status:"pending" uuid:"48f997bf-b686-4c0b-bee5-ac8e5f874ad9"]
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[description:"Read Opportunities, Challenges, and Research Needs for Remote Microreactor Operations" entry:"1757516723" modified:"1757516723" project:"Thesis" status:"pending" tags:"reading" tags_reading:"x" uuid:"96c76e6b-5c33-4f54-a156-5c59e718f01a"]
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[description:"Write zettel about lipschitz continuity" entry:"1757625029" modified:"1757625029" status:"pending" tags:"zk" tags_zk:"x" uuid:"b7f68988-8c06-4d18-bf77-91d7e39fd55f"]
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@ -116,3 +116,7 @@ time 1757627393
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old [description:"Read Branicky Lyapunov paper" entry:"1757615669" modified:"1757621896" project:"Thesis" status:"pending" tags:"reading" tags_reading:"x" uuid:"f4d32147-ec74-4f68-b8d5-146c0b6f35df"]
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new [description:"Read Branicky Lyapunov paper" end:"1757627393" entry:"1757615669" modified:"1757627393" project:"Thesis" status:"completed" tags:"reading" tags_reading:"x" uuid:"f4d32147-ec74-4f68-b8d5-146c0b6f35df"]
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---
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time 1757896615
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old [dep_8e7a8e19-9197-4008-b7d9-521ffcf7ba91:"x" dep_96c76e6b-5c33-4f54-a156-5c59e718f01a:"x" dep_f4d32147-ec74-4f68-b8d5-146c0b6f35df:"x" depends:"8e7a8e19-9197-4008-b7d9-521ffcf7ba91,96c76e6b-5c33-4f54-a156-5c59e718f01a,f4d32147-ec74-4f68-b8d5-146c0b6f35df" description:"Write first draft of state of the art" due:"1757649600" entry:"1757449978" modified:"1757885608" project:"ERLM" status:"pending" tags:"writing" tags_writing:"x" uuid:"4bec1530-18bc-43cb-9f0b-61e35dbf1730"]
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new [dep_8e7a8e19-9197-4008-b7d9-521ffcf7ba91:"x" dep_96c76e6b-5c33-4f54-a156-5c59e718f01a:"x" dep_f4d32147-ec74-4f68-b8d5-146c0b6f35df:"x" depends:"8e7a8e19-9197-4008-b7d9-521ffcf7ba91,96c76e6b-5c33-4f54-a156-5c59e718f01a,f4d32147-ec74-4f68-b8d5-146c0b6f35df" description:"Write first draft of state of the art" due:"1757649600" entry:"1757449978" modified:"1757896615" project:"ERLM" start:"1757896615" status:"pending" tags:"writing" tags_writing:"x" uuid:"4bec1530-18bc-43cb-9f0b-61e35dbf1730"]
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---
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@ -2,7 +2,7 @@
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\ProvidesClass{prayer_circle}[2025/09/02 Custom class for academic documents]
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% Pass options and load base class
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\PassOptionsToClass{10pt,titlepage}{article}
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\PassOptionsToClass{11pt,titlepage}{article}
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\LoadClass{article}
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% Core packages
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@ -2,10 +2,10 @@
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\bibstyle{unsrt}
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\providecommand \oddpage@label [2]{}
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\@writefile{toc}{\contentsline {section}{\numberline {1}Goals and Outcomes}{1}{}\protected@file@percent }
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\bibdata{references}
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\@writefile{toc}{\contentsline {section}{\numberline {2}State of the art and limits of current practice}{3}{}\protected@file@percent }
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\@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Control Theory and Hybrid Systems}{3}{}\protected@file@percent }
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\newlabel{eq:hybrid-sys}{{2}{3}{Control Theory and Hybrid Systems}{}{}}
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\@writefile{toc}{\contentsline {subsection}{\numberline {2.2}Formal Methods and Reactive Synthesis}{3}{}\protected@file@percent }
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\@writefile{toc}{\contentsline {section}{References}{3}{}\protected@file@percent }
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\gdef \@abspage@last{4}
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\bibdata{references}
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\@writefile{toc}{\contentsline {subsection}{\numberline {2.2}Formal Methods and Reactive Synthesis}{4}{}\protected@file@percent }
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\@writefile{toc}{\contentsline {section}{References}{4}{}\protected@file@percent }
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\gdef \@abspage@last{5}
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@ -1,14 +1,14 @@
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# Fdb version 4
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["bibtex main"] 1757866412.20829 "main.aux" "main.bbl" "main" 1757880660.67738 0
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"./references.bib" 1757866237.16684 0 d41d8cd98f00b204e9800998ecf8427e ""
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["bibtex main"] 1757899416.09338 "main.aux" "main.bbl" "main" 1757900978.83336 0
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"main.aux" 1757900978.60047 759 3051c697f76ee5e29dc620b2ef1fb2b5 "pdflatex"
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(generated)
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"main.bbl"
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"main.blg"
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(rewritten before read)
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["pdflatex"] 1757880660.23063 "main.tex" "main.pdf" "main" 1757880660.67755 2
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@ -20,15 +20,15 @@
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@ -36,7 +36,7 @@
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||||
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@ -150,7 +150,7 @@
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@ -224,14 +224,14 @@
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(generated)
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"main.aux"
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"main.log"
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@ -9,9 +9,11 @@ INPUT ./dane_proposal_format.cls
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INPUT dane_proposal_format.cls
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INPUT /usr/share/texlive/texmf-dist/tex/latex/base/article.cls
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@ -330,7 +332,6 @@ INPUT /usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfcalendar.code.t
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@ -407,20 +408,18 @@ INPUT /usr/share/texlive/texmf-dist/fonts/tfm/adobe/helvetic/phvb8r.tfm
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@ -1,4 +1,4 @@
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This is pdfTeX, Version 3.141592653-2.6-1.40.25 (TeX Live 2023/Debian) (preloaded format=pdflatex 2024.9.11) 14 SEP 2025 16:11
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This is pdfTeX, Version 3.141592653-2.6-1.40.25 (TeX Live 2023/Debian) (preloaded format=pdflatex 2024.9.10) 14 SEP 2025 21:49
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restricted \write18 enabled.
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\OT1/phv/m/n/10 The goal of this re-search is to de-velop a uni-fied frame-work com-bin-ing tem-po-ral logic syn-the-sis with continuous-
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[]
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[]\OT1/phv/b/n/10 Prove that hy-brid sys-tem im-ple-men-ta-tions achieve safety and per-for-mance spec-i-fi-ca-tions across
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[]
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[1]) [2] (./state-of-the-art/v1.tex
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./state-of-the-art/v1.tex:34: Undefined control sequence.
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l.34 ...us states and control input. \(\nu_i(\codt
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||||
)\) can be much more
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||||
The control sequence at the end of the top line
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of your error message was never \def'ed. If you have
|
||||
misspelled it (e.g., `\hobx'), type `I' and the correct
|
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spelling (e.g., `I\hbox'). Otherwise just continue,
|
||||
and I'll forget about whatever was undefined.
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|
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./state-of-the-art/v1.tex:35: Undefined control sequence.
|
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l.35 ...ted. The only restriction on \(\nu_i(\codt
|
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)\) is that it must
|
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The control sequence at the end of the top line
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of your error message was never \def'ed. If you have
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misspelled it (e.g., `\hobx'), type `I' and the correct
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spelling (e.g., `I\hbox'). Otherwise just continue,
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||||
and I'll forget about whatever was undefined.
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./state-of-the-art/v1.tex:37: Undefined control sequence.
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l.37 \(\nu_i(\codt
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)\) can depend a control input \(u\), or can be
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The control sequence at the end of the top line
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of your error message was never \def'ed. If you have
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misspelled it (e.g., `\hobx'), type `I' and the correct
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spelling (e.g., `I\hbox'). Otherwise just continue,
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and I'll forget about whatever was undefined.
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) (./main.bbl
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[1]) [2] (./state-of-the-art/v1.tex [3]) (./main.bbl
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LaTeX Warning: Empty `thebibliography' environment on input line 3.
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***********
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LaTeX2e <2023-11-01> patch level 1
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L3 programming layer <2024-01-22>
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***********
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@ -31,10 +31,10 @@ In this description there are two functions: \(f(\cdot)\) and
|
||||
inputs: the continuous states \(x\), the discrete state \(q\), and an optional
|
||||
control input \(u\). \(f_i(\cdot)\) here is a nonlinear function, where \(q\)
|
||||
changes the mode of the continuous dynamics, but is otherwise dependent on the
|
||||
current continuous states and control input. \(\nu_i(\codt)\) can be much more
|
||||
generally created. The only restriction on \(\nu_i(\codt)\) is that it must
|
||||
current continuous states and control input. \(\nu_i(\cdot)\) can be much more
|
||||
generally created. The only restriction on \(\nu_i(\cdot)\) is that it must
|
||||
not create an infinite number of jumps in a finite amount of time.
|
||||
\(\nu_i(\codt)\) can depend a control input \(u\), or can be
|
||||
\(\nu_i(\cdot)\) can depend a control input \(u\), or can be
|
||||
\textit{autonomous}, where the discrete mode is defined by the system states
|
||||
\(x\) and \(q\). While an autonomous system may not have a control input, that
|
||||
does not mean the system is not controlled, as the continuous dynamics
|
||||
@ -73,3 +73,47 @@ reachability because either the computation time makes the analysis infeasible,
|
||||
or the compounding approximation errors makes the analysis meaningless.
|
||||
|
||||
\subsection{Formal Methods and Reactive Synthesis}
|
||||
|
||||
Hybrid systems often are realized as cyber-physical systems. Cyber-physical
|
||||
systems have a computational component responsible for control of a physical
|
||||
process based on live sensors and actuators. Verification of these systems has
|
||||
drawn two different communities together. We have previously discussed the
|
||||
engineering perspective coming from the physical control theory background, but
|
||||
in this section we discuss work coming from the cyber oriented persuasion.
|
||||
|
||||
Many cyber systems lend themselves to a finite number of possible states. For
|
||||
these systems, a map of the possible states and the transition between them can
|
||||
be drawn and analyzed. This is called a \textit{finite state machine}. Finite
|
||||
state machines can be easily verified, as all possible states can be
|
||||
exhaustively checked to meet requirements in a process called model checking.
|
||||
Model checking has been used extensively in high-assurance digital systems and
|
||||
to ensure software correctness for critical systems.
|
||||
|
||||
In order to check correctness, requirements for these automata must be defined.
|
||||
Typically this is done using a formal language such as temporal logic. Temporal
|
||||
logic allows system behaviors to be defined with temporal relations and includes
|
||||
four operators: next (X), eventually (F), globally (G), and until (U). With
|
||||
these operators, controller specifications can be created. In a nuclear context,
|
||||
one might use temporal logic to define safety behaviors of a reactor core
|
||||
control system. Let's consider an example:
|
||||
|
||||
Suppose we are trying to write safety requirements about SCRAM behavior. In
|
||||
plain English, one might say "If a high temperature alarm is triggered, the
|
||||
control rods will immediately be inserted and unable to be withdrawn unless
|
||||
reset by an operator." In a linear temporal logic specification, this would be
|
||||
written as follows:
|
||||
|
||||
\begin{equation}
|
||||
\mathcal{G}(HighTemp \rightarrow \mathcal{X}(RodsInserted \land (\neg
|
||||
RodsWithdrawn \text{ } \mathcal{U} \text{ } OperatorReset)))
|
||||
\end{equation}
|
||||
|
||||
A significant body of work has been done around the translation of English
|
||||
requirements into temporal logic specifications. The Formal Requirements
|
||||
Elicitation Tool (FRET) developed by the NASA Ames Research Center to help
|
||||
bridge the gap between natural language and mathematical specification. Using
|
||||
FRET, one is able to take a bulk number of near-English requirements in a
|
||||
language called FRETish, and translate them automatically into linear temporal
|
||||
logic specifications. From this point, it can be examined whether or not
|
||||
the set of requirements define a realizable system, or if there exists conflicts
|
||||
between different specifications.
|
||||
|
||||
Loading…
x
Reference in New Issue
Block a user