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Stabilization of switched delay systems with polytopic uncertainties under asynchronous switching

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Indexed by:期刊论文

Date of Publication:2013-10-01

Journal:JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS

Included Journals:SCIE、EI、Scopus

Volume:350

Issue:8

Page Number:2028-2043

ISSN No.:0016-0032

Abstract:In this paper, the problem of stabilization for a class of switched delay systems with polytopic type uncertainties under asynchronous switching is investigated. When the switching of the controllers has a lag to the switching of subsystems, i.e. the switching signal of the switched controller involves delay, parameter-dependent Lyapunov functionals are constructed, which are allowed to increase during the running time of active subsystems with the mismatched controller. Based on the average dwell time method, sufficient conditions for exponential stability are developed for a class of switching signals. Finally, a river pollution control problem is given to demonstrate the feasibility and effectiveness of the proposed design techniques. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

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