Dane Sabo
2497bb4aa5
M .task/backlog.data M .task/completed.data M .task/pending.data M .task/undo.data A PLAN_OF_STUDY_111225.pdf R Writing/202510270-Emerson-Pres/SaboOneSlide.pdf -> Presentations/202510270-Emerson-Pres/SaboOneSlide.pdf R Writing/202510270-Emerson-Pres/beamerthemedane.sty -> Presentations/202510270-Emerson-Pres/beamerthemedane.sty R Writing/202510270-Emerson-Pres/beamerthemedane_native.sty -> Presentations/202510270-Emerson-Pres/beamerthemedane_native.sty
51 lines
1.7 KiB
TeX
51 lines
1.7 KiB
TeX
% Current Gaps
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\begin{frame}{Existing methods can handle either continuous or discrete, but not both}
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\begin{center}
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\begin{tikzpicture}[scale=0.9, transform shape]
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% Formal Methods circle
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\draw[thick, fill=red!20, opacity=0.7] (-2,0) circle (2.5cm);
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\node at (-2, 2) {\textbf{Formal Methods}};
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\node at (-2, 1.2) {\small (HARDENS)};
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\node[align=center, font=\small] at (-2, 0.3) {
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Discrete \checkmark
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};
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\node[align=center, font=\small, text=red] at (-2, -0.5) {
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Continuous \textbf{$\times$}
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};
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% Control Theory circle
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\draw[thick, fill=blue!20, opacity=0.7] (2,0) circle (2.5cm);
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\node at (2, 2) {\textbf{Control Theory}};
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\node[align=center, font=\small] at (2, 0.3) {
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Continuous \checkmark
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};
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\node[align=center, font=\small, text=red] at (2, -0.5) {
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Discrete \textbf{$\times$}
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};
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% The Gap
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\node[align=center, font=\Large, text=orange] at (0, -3) {
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\textbf{THE GAP}
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};
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\end{tikzpicture}
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\end{center}
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%SPEAKER NOTES: See comments below
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%
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\textbf{Formal Methods (HARDENS):}
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Can verify discrete logic (requirements → verified binaries). Achieved in 9 months, low cost.
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But: Cannot handle continuous dynamics.
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\textbf{Control Theory:}
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Can verify continuous stability (Lyapunov, LQR, robust control).
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But: Cannot verify discrete transitions or mode switching.
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\textbf{THE GAP:} Hybrid system verification with formal guarantees spanning both continuous and discrete.
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\textbf{HARDENS Achievement:} Complete RTS verification (discrete only), TRL 3-4, no experimental validation.
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\textbf{We need to bridge this gap.}
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% (End of speaker notes)
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\end{frame}
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