New delay-dependent stability criteria for T-S fuzzy systems with time-varying delay

Fang Liu, Min Wu, Yong He, Ryuichi Yokoyama

Research output: Contribution to journalArticle

103 Citations (Scopus)

Abstract

This paper is concerned with the stability problem of uncertain T-S fuzzy systems with time-varying delay by employing a further improved free-weighting matrix approach. By taking the relationship among the time-varying delay, its upper bound and their difference into account, some less conservative LMI-based delay-dependent stability criteria are obtained without ignoring any useful terms in the derivative of Lyapunov-Krasovskii functional. Finally, two numerical examples are given to demonstrate the effectiveness and the merits of the proposed methods.

Original languageEnglish
Pages (from-to)2033-2042
Number of pages10
JournalFuzzy Sets and Systems
Volume161
Issue number15
DOIs
Publication statusPublished - 2010 Aug 1

Keywords

  • Delay-dependent stability
  • Linear matrix inequalities (LMIs)
  • Lyapunov-Krasovskii functional
  • T-S fuzzy systems
  • Time-varying delay

ASJC Scopus subject areas

  • Artificial Intelligence
  • Logic

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