Set stability by switched Lyapunov function

Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis(2013)

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摘要
By the second Lyapunov method, the stability of sets on the impulsive perturbed systems is studied based on its corresponding impulsive unperturbed systems. We give the method to construct the second Lyapunov function for the perturbed systems. The sufficient conditions of the stability of sets are obtained. As an application, we consider an impulsive perturbed systems to illustrate the uniformly asymptotic stability. Copyright © 2013 Watam Press.
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关键词
impulsive systems,lyapunov function,perturbed systems,stability of sets,switched lyapunov function
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