fixed edit mode

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Dane Sabo 2026-03-10 17:17:50 -04:00
parent 77f361734b
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@ -427,11 +427,11 @@ reachable within time horizon $T$:
\text{Reach}(\mathcal{X}_{entry}, f_i, [0,T]) \cap \mathcal{X}_{exit} \neq \emptyset \text{Reach}(\mathcal{X}_{entry}, f_i, [0,T]) \cap \mathcal{X}_{exit} \neq \emptyset
\] \]
\textcolor{blue}{Because the discrete controller defines clear boundaries in continuous state Because the discrete controller defines clear boundaries in continuous state
space, the verification problem for each transitory mode is well-posed. We know space, the verification problem for each transitory mode is well-posed. We know
the possible initial conditions, we know the target conditions, and we know the the possible initial conditions, we know the target conditions, and we know the
safety envelope. The verification task is to confirm that the candidate safety envelope. The verification task is to confirm that the candidate
continuous controller achieves the objective from all possible starting points.} continuous controller achieves the objective from all possible starting points.
Several tools exist for computing reachable sets of hybrid Several tools exist for computing reachable sets of hybrid
systems, including CORA, Flow*, SpaceEx, and JuliaReach. The choice of tool systems, including CORA, Flow*, SpaceEx, and JuliaReach. The choice of tool

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\contentsline {section}{\numberline {1}Goals and Outcomes}{1}{}% \contentsline {section}{\numberline {1}Goals and Outcomes}{1}{}%
\contentsline {section}{\numberline {2}State of the Art and Limits of Current Practice}{3}{}% \contentsline {section}{\numberline {2}State of the Art and Limits of Current Practice}{3}{}%
\contentsline {subsection}{\numberline {2.1}Current Reactor Procedures and Operation}{3}{}% \contentsline {subsection}{\numberline {2.1}Current Reactor Procedures and Operation}{3}{}%
\contentsline {subsection}{\numberline {2.2}Human Factors in Nuclear Accidents}{4}{}% \contentsline {subsection}{\numberline {2.2}Human Factors in Nuclear Accidents}{3}{}%
\contentsline {subsection}{\numberline {2.3}Formal Methods}{5}{}% \contentsline {subsection}{\numberline {2.3}Formal Methods}{4}{}%
\contentsline {subsubsection}{\numberline {2.3.1}HARDENS}{5}{}% \contentsline {subsubsection}{\numberline {2.3.1}HARDENS}{4}{}%
\contentsline {subsubsection}{\numberline {2.3.2}Sequent Calculus and Differential Dynamic Logic}{6}{}% \contentsline {subsubsection}{\numberline {2.3.2}Sequent Calculus and Differential Dynamic Logic}{5}{}%
\contentsline {section}{\numberline {3}Research Approach}{8}{}% \contentsline {section}{\numberline {3}Research Approach}{7}{}%
\contentsline {subsection}{\numberline {3.1}System Requirements, Specifications, and Discrete Controllers}{9}{}% \contentsline {subsection}{\numberline {3.1}System Requirements, Specifications, and Discrete Controllers}{8}{}%
\contentsline {subsection}{\numberline {3.2}Continuous Control Modes}{13}{}% \contentsline {subsection}{\numberline {3.2}Continuous Control Modes}{11}{}%
\contentsline {subsubsection}{\numberline {3.2.1}Transitory Modes}{14}{}% \contentsline {subsubsection}{\numberline {3.2.1}Transitory Modes}{12}{}%
\contentsline {subsubsection}{\numberline {3.2.2}Stabilizing Modes}{15}{}% \contentsline {subsubsection}{\numberline {3.2.2}Stabilizing Modes}{12}{}%
\contentsline {subsubsection}{\numberline {3.2.3}Expulsory Modes}{16}{}% \contentsline {subsubsection}{\numberline {3.2.3}Expulsory Modes}{13}{}%
\contentsline {subsection}{\numberline {3.3}Industrial Implementation}{17}{}% \contentsline {subsection}{\numberline {3.3}Industrial Implementation}{14}{}%
\contentsline {section}{\numberline {4}Metrics for Success}{18}{}% \contentsline {section}{\numberline {4}Metrics for Success}{15}{}%
\contentsline {paragraph}{TRL 3 \textit {Critical Function and Proof of Concept}}{18}{}% \contentsline {paragraph}{TRL 3 \textit {Critical Function and Proof of Concept}}{15}{}%
\contentsline {paragraph}{TRL 4 \textit {Laboratory Testing of Integrated Components}}{18}{}% \contentsline {paragraph}{TRL 4 \textit {Laboratory Testing of Integrated Components}}{15}{}%
\contentsline {paragraph}{TRL 5 \textit {Laboratory Testing in Relevant Environment}}{19}{}% \contentsline {paragraph}{TRL 5 \textit {Laboratory Testing in Relevant Environment}}{15}{}%
\contentsline {section}{\numberline {5}Risks and Contingencies}{20}{}% \contentsline {section}{\numberline {5}Risks and Contingencies}{17}{}%
\contentsline {subsection}{\numberline {5.1}Computational Tractability of Synthesis}{20}{}% \contentsline {subsection}{\numberline {5.1}Computational Tractability of Synthesis}{17}{}%
\contentsline {subsection}{\numberline {5.2}Discrete-Continuous Interface Formalization}{20}{}% \contentsline {subsection}{\numberline {5.2}Discrete-Continuous Interface Formalization}{17}{}%
\contentsline {subsection}{\numberline {5.3}Procedure Formalization Completeness}{22}{}% \contentsline {subsection}{\numberline {5.3}Procedure Formalization Completeness}{18}{}%
\contentsline {section}{\numberline {6}Broader Impacts}{24}{}% \contentsline {section}{\numberline {6}Broader Impacts}{20}{}%
\contentsline {section}{\numberline {7}Schedule, Milestones, and Deliverables}{26}{}% \contentsline {section}{\numberline {7}Schedule, Milestones, and Deliverables}{22}{}%
\contentsline {subsection}{\numberline {7.1}Milestones and Deliverables}{26}{}% \contentsline {subsection}{\numberline {7.1}Milestones and Deliverables}{22}{}%
\contentsline {section}{References}{27}{}% \contentsline {section}{References}{23}{}%