Abstract
In this paper the extension of LaSalle's Invariance Principle for switched nonlinear systems is studied. Unlike most existing results in which each switching mode in the system needs to be asymptotically stable, in this paper we allow the switching modes to be only stable. Under certain ergodicity assumptions of the switching signals, two extensions of LaSalle's Invariance Principle for global asymptotic stability of switched nonlinear systems are obtained, using the method of common joint Lyapunov function.
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