DocumentCode :
855917
Title :
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
Link To Document :
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