Stability of a class of switched positive linear time-delay systems

Authors


Correspondence to: Xudong Zhao, College of Information and Control Engineering, China University of Petroleum, Qingdao 266555, China.

E-mail: xdzhaohit@gmail.com

SUMMARY

This paper addresses the problem of stability for a class of switched positive linear time-delay systems. As first attempt, the Lyapunov–Krasovskii functional is extended to the multiple co-positive type Lyapunov–Krasovskii functional for the stability analysis of the switched positive linear systems with constant time delay. A sufficient stability criterion is proposed for the underlying system under average dwell time switching. Subsequently, the stability result for system under arbitrary switching is presented by reducing multiple co-positive type Lyapunov–Krasovskii functional to the common co-positive type Lyapunov–Krasovskii functional. A numerical example is given to show the potential of the proposed techniques. Copyright © 2012 John Wiley & Sons, Ltd.

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