2006•Unpublished venueRequires access

A globally detectable hybrid system admits a smooth OSS-Lyapunov function

Chaohong Cai, Andrew R. Teel

Abstract

This paper presents Lyapunov and asymptotic characterizations of output-to-state stability (OSS) for hybrid systems, emphasizing that a globally detectable (i.e. nonuniform OSS) hybrid system admits a smooth exponential-decay OSS-Lyapunov function. Moreover, we construct the norm estimator for a globally detectable hybrid system.

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Available abstract

Key concepts: Lyapunov function, Exponential stability, Hybrid system, Control theory (sociology), Mathematics, State estimator, Lyapunov redesign, Norm (philosophy)