Stability Analysis of Switched Positive Systems: A Switched Linear Copositive Lyapunov Function Method

Author

Liu, Xingwen

Author_Institution

Sch. of Autom. Eng., Univ. of Electron. Sci. & Technol. of China, Chengdu

Volume

56

Issue

5

fYear

2009

fDate

5/1/2009 12:00:00 AM

Firstpage

414

Lastpage

418

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.

Keywords

Lyapunov methods; discrete time systems; linear programming; linear systems; stability criteria; time-varying systems; discrete-time switched positive systems; linear programming; stability analysis; stability criterion; switched linear copositive Lyapunov function method; switched positive systems; Linear programming (LP); stability; switched linear copositive Lyapunov function (SLCLF); switched linear positive system (SLPS);

fLanguage

English

Journal_Title

Circuits and Systems II: Express Briefs, IEEE Transactions on

Publisher

ieee

ISSN

1549-7747

Type

jour

DOI

10.1109/TCSII.2009.2019326

Filename

4914822