On Lyapunov-Krasovskii Functionals for Switched Nonlinear Systems with Delay

2013/11/19 by Aleksandrov, A. Yu., Mason, Oliver
#93D05 #93D09 #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1311.4866

Abstract

We present a set of results concerning the existence of Lyapunov-Krasovskii functionals for classes of nonlinear switched systems with time-delay. In particular, we first present a result for positive systems that relaxes conditions recently described in \citeSunWang for the existence of L-K functionals. We also provide related conditions for positive coupled differential-difference positive systems and for systems of neutral type that are not necessarily positive. Finally, corresponding results for discrete-time systems are described.

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• Converse Lyapunov Results for Switched Systems with Lower and Upper Bounds on Switching Intervals
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