Stability and stabilization of switched linear discrete-time systems with interval time-varying delay

This paper deals with stability and stabilization of a class of switched discrete-time delay systems. The system to be considered is subject to interval time-varying delays, which allows the delay to be a fast time-varying function and the lower bound is not restricted to zero. Based on the discrete...

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Bibliographic Details
Published inNonlinear analysis. Hybrid systems Vol. 5; no. 4; pp. 605 - 612
Main Authors Phat, V.N., Ratchagit, K.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.11.2011
Subjects
Asymptotic properties
Asymptotic stability
Delay
Discrete system
Hybrid systems
Intervals
Linear matrix inequality
Lyapunov function
Mathematical analysis
Stability
Stabilization
Switching
Switching design
Linear matrix inequality
Asymptotic stability
Discrete system
Switching design
Stabilization
Lyapunov function
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Summary:This paper deals with stability and stabilization of a class of switched discrete-time delay systems. The system to be considered is subject to interval time-varying delays, which allows the delay to be a fast time-varying function and the lower bound is not restricted to zero. Based on the discrete Lyapunov functional, a switching rule for the asymptotic stability and stabilization for the system is designed via linear matrix inequalities. Numerical examples are included to illustrate the effectiveness of the results.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:1751-570X
DOI:10.1016/j.nahs.2011.05.006