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Formal verification in computer science often takes a worst case view towards performance and uses induction to prove specification invariants. In control theory, robust control takes a worst-case view towards performance; nominal performance proofs often use derivative information to prove invariance of specification sets. In this note, we explore a toolbox for proving (positive) invariance of state-space...
A system consisting of two platoons of vehicles on a single track, plus controllers that operate the vehicles, plus communication channels, is modeled formally, using the hybrid input/output automaton model of Lynch, Segala, Vaandrager and Weinberg [7]. A key safety requirement of such a system is formulated, namely, that the two platoons never collide at a relative velocity greater than a given bound...