Stability and stabilization for discrete-time systems with time-varying delays via augmented Lyapunov–Krasovskii functional

This paper is concerned with the stability and stabilization problems for discrete-time systems with interval time-varying delays. By construction of an augmented Lyapunov–Krasovskii functional and utilization of zero equalities, improved delay-dependent criteria for asymptotic stability of the syst...

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Bibliographic Details
Published in:Journal of the Franklin Institute 2013-04, Vol.350 (3), p.521-540
Main Authors: Kwon, O.M., Park, M.J., Park, Ju H., Lee, S.M., Cha, E.J.
Format: Article
Language:English
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Summary:This paper is concerned with the stability and stabilization problems for discrete-time systems with interval time-varying delays. By construction of an augmented Lyapunov–Krasovskii functional and utilization of zero equalities, improved delay-dependent criteria for asymptotic stability of the systems are derived in terms of linear matrix inequalities (LMIs). Based on the proposed stability criteria, a sufficient condition for designing feedback gains of time-delayed controllers which guarantee the stability of the concerned system is presented. Through three numerical examples, the effectiveness to enhance the feasible region of the proposed criteria is demonstrated.
ISSN:0016-0032
1879-2693
DOI:10.1016/j.jfranklin.2012.12.013