Abstract:In this paper we propose a mechanisable approach for discovering multiple Lyapunov functions for switched hybrid systems. We start with the classical definition on asymptotic stability, which can be assured by the existence of multiple Lyapunov functions. Then, we derive an algebraizable sufficient condition on multiple Lyapunov functions in quadratic form for asymptotic stability analysis. Since different modes are considered, in addition to real root classification, we further apply a projection operator ste… Show more
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