Finite-time boundedness and finite-time l2 gain analysis of discrete-time switched linear systems with average dwell time

In this paper, finite-time boundedness and finite-time l2 gain analysis for a class of discrete-time switched linear systems are investigated. Not only linear matrix inequality conditions for the system dynamics but also average dwell-time of switching signal is given to guarantee finite-time bounde...

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Bibliographic Details
Published inJournal of the Franklin Institute Vol. 350; no. 4; pp. 911 - 928
Main Authors Lin, Xiangze, Du, Haibo, Li, Shihua, Zou, Yun
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.05.2013
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Summary:In this paper, finite-time boundedness and finite-time l2 gain analysis for a class of discrete-time switched linear systems are investigated. Not only linear matrix inequality conditions for the system dynamics but also average dwell-time of switching signal is given to guarantee finite-time boundedness of discrete-time switched linear systems. Moreover, sufficient conditions which guarantee finite-time boundedness of discrete-time switched linear systems with a finite-time l2 gain are also presented. Detail proofs are given by using multiple Lyapunov-like functions. A numerical example is employed to verify the efficiency of the proposed method.
ISSN:0016-0032
1879-2693
DOI:10.1016/j.jfranklin.2013.01.018