State feedback stabilization of nonlinear discrete-time systems with time-varying time delay

This paper deals with the class of nonlinear discrete-time systems with varying time delay. The problems of stability and stabilizability for this class of systems are considered. Given an upper bound and a lower bound on the time-varying delay, sufficient conditions for checking the stability of th...

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Bibliographic Details
Published inNonlinear analysis Vol. 66; no. 6; pp. 1341 - 1350
Main Author Boukas, E.K.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 15.03.2007
Elsevier
Subjects
Exact sciences and technology
Global analysis, analysis on manifolds
Mathematics
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Time varying system
Feedback system
Discrete time systems
Nonlinear analysis
Delay system
Mathematical model
Non linear system
Feedback stabilization
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Summary:This paper deals with the class of nonlinear discrete-time systems with varying time delay. The problems of stability and stabilizability for this class of systems are considered. Given an upper bound and a lower bound on the time-varying delay, sufficient conditions for checking the stability of this class of systems are developed. A control design algorithm is also provided for determining the state feedback controller gain. All the results developed in this paper are in the LMI formalism which makes it easier to obtain them using existing tools. A numerical example is provided to show the effectiveness of the results established.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2006.01.020