A Converse Lyapunov Theorem for a Class of Dynamical Systems which Undergo Switching

Abstract

The authors investigate the stability of a system in which the dynamics at any instant in time will follow one of a fixed set of vector fields. They allow switching between members of the family of vector fields to be completely random. The focus of this paper is to prove a converse Lyapunov theorem for this class of systems. 
DOI: 10.1109/9.754812

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