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Stability of a class of switched positive linear time‐delay systems
Author(s) -
Zhao Xudong,
Zhang Lixian,
Shi Peng
Publication year - 2012
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.2777
Subject(s) - dwell time , control theory (sociology) , stability (learning theory) , mathematics , positive systems , class (philosophy) , constant (computer programming) , functional approach , linear system , computer science , control (management) , mathematical analysis , artificial intelligence , clinical psychology , human–computer interaction , machine learning , programming language , medicine
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.