A relaxed stability criterion for T-S fuzzy discrete systems

Wen June Wang, Chung Hsun Sun

Research output: Contribution to journalArticlepeer-review

55 Scopus citations


Stability conditions for Tanaka-Sugeno (T-S) fuzzy discrete systems based on a single quadratic Lyapunov function or a weighting dependent Lyapunov function have been mentioned in lots of literature. The existence of a common matrix P is required in the former, and r (rules' number) positive matrices satisfying r2 Lyapunov inequalities are necessary in the latter. In this paper, the weighting dependent Lyapunov function is used again. Moreover according to the idea of the firing rule group and the distance estimation between two successive states of the system, the relaxed stability criterion of T-S fuzzy discrete system is proposed.

Original languageEnglish
Pages (from-to)2155-2158
Number of pages4
JournalIEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Issue number5
StatePublished - Oct 2004


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