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Zbl 1194.93117
Liu, Fang; Wu, Min; He, Yong; Yokoyama, Ryuichi
New delay-dependent stability criteria for T-S fuzzy systems with time-varying delay. (English)
[J] Fuzzy Sets Syst. 161, No. 15, 2033-2042 (2010). ISSN 0165-0114

Summary: 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.

MSC 2000:: *93C42 Fuzzy control
34H05 ODE in connection with control problems
93D99 Stability of control systems
93C05 Linear control systems

Keywords: T-S fuzzy systems; time-varying delay; delay-dependent stability; Lyapunov-Krasovskii functional; linear matrix inequalities (LMIs)

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Zentralblatt MATH Berlin [Germany]