Improved delay-dependent stability criteria for discrete-time systems with time-varying delays

O. M. Kwon, M. J. Park, Ju H. Park, S. M. Lee, E. J. Cha

Research output: Contribution to journalArticlepeer-review

37 Scopus citations

Abstract

This paper considers the stability problem for discrete-time systems with interval time-varying delays. By construction of a suitable Lyapunov-Krasovskii (L-K) functional and utilization of Finsler's lemma, novel delay-dependent criteria for asymptotic stability of the systems are established in terms of linear matrix inequalities (LMIs) which can easily be solved by various effective optimization algorithms. Three numerical examples are given to illustrate the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)1949-1962
Number of pages14
JournalCircuits, Systems, and Signal Processing
Volume32
Issue number4
DOIs
StatePublished - Aug 2013

Keywords

  • Discrete-time systems
  • Interval time-varying delay
  • Lyapunov method
  • Stability

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