Stability and L 1 -gain control for positive impulsive switched systems with mixed time-varying delays.
IMA J. Math. Control & Information(2017)
摘要
This article addresses the problems of exponential stability and L-1-gain control for a class of positive impulsive switched systems with mixed time-varying delays. A new class of hybrid systems, called positive impulsive delayed switched systems, are introduced for the first time. A necessary and sufficient condition for the positivity of such kind of systems is proposed. Moreover, by using the average dwell time approach and the co-positive Lyapunov-Krasovskii function technique, a sufficient condition is presented to ensure the exponential stability with L-1-gain performance of the positive impulsive delayed switched system. Based on the obtained results, a sufficient condition for the existence of a desired state feedback controller is derived, and an iterative convex optimization approach is developed to compute the controller gain matrices. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed method.
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关键词
positive switched systems, impulsive systems, exponential stability, L-1-gain performance, time-varying delays
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