Stability analysis of switched positive systems: a switched linear copositive Lyapunov function method

Authors:
Xingwen Liu
Affiliations:
School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, China and Institute of Electrical and Information Engineering, South-west University for Nation ...
Venue:
IEEE Transactions on Circuits and Systems II: Express Briefs
Year:
2009

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Abstract

This brief addresses the stability problem of discrete-time switched positive systems. The main contribution lies in two aspects. First, a novel method [the switched linear copositive Lyapunov function (SLCLF)] is proposed to reduce the conservatism of the stability criterion obtained by means of the common linear copositive Lyapunov function. Second, some necessary and sufficient conditions are established for the existence of the switched linear copositive Lyapunov function, assuming that a switched linear positive system is given. A numerical example shows the advantage of the obtained results.