Title: Stabilisation of a class of switched delay systems with asynchronous switching

Authors: Ying-Tao Sun; Rui Wang; Yue-E Wang

Addresses: Research Centre of Information and Control, Dalian University of Technology, Dalian,116024, China. ' School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116024, China. ' State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110819, China

Abstract: This paper investigates the problem of asynchronously switched stabilising control for a class of switched linear systems with time delay. When there exists asynchronous switching between the controllers and the subsystems, based on the average dwell time (ADT) method, a sufficient condition for exponential stability is developed for a class of switching signals. The condition is delay-dependent and is given in terms of linear matrix inequalities (LMIs). A numerical example illustrates the effectiveness of the proposed method.

Keywords: asynchronous switching; switched delay systems; Lyapunov functional; average dwell time; ADT; stabilising control; switched linear systems; time delay; linear matrix inequalities; LMIs.

DOI: 10.1504/IJSCC.2012.048617

International Journal of Systems, Control and Communications, 2012 Vol.4 No.3, pp.195 - 207

Published online: 21 Aug 2012 *

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