Delay-dependent LMI condition for global asymptotic stability of discrete-time uncertain state-delayed systems using quantization/overflow nonlinearities

A delay‐dependent criterion for the global asymptotic stability of a class of uncertain discrete‐time state‐delayed systems using various combinations of quantization and overflow nonlinearities is presented. The proposed criterion is in the form of a linear matrix inequality and, hence, computation...

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Bibliographic Details
Published inInternational journal of robust and nonlinear control Vol. 21; no. 14; pp. 1611 - 1622
Main Authors Kandanvli, V. Krishna Rao, Kar, Haranath
Format Journal Article
LanguageEnglish
Published Chichester, UK John Wiley & Sons, Ltd 25.09.2011
Subjects
Asymptotic properties
Computation
Criteria
delay-dependent stability criterion
finite wordlength effects
Linear matrix inequalities
linear matrix inequality
Lyapunov stability
Nonlinearity
Quantization
Stability
state-delayed systems
uncertain systems
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Summary:A delay‐dependent criterion for the global asymptotic stability of a class of uncertain discrete‐time state‐delayed systems using various combinations of quantization and overflow nonlinearities is presented. The proposed criterion is in the form of a linear matrix inequality and, hence, computationally tractable. A numerical example highlighting the usefulness of the proposed criterion is given. Copyright © 2010 John Wiley & Sons, Ltd.
Bibliography:ark:/67375/WNG-N660XV91-1
ArticleID:RNC1654
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ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1049-8923
1099-1239
1099-1239
DOI:10.1002/rnc.1654