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New delay-dependent stability criteria for T-S fuzzy systems with time-varying delay. (English) Zbl 1194.93117
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:
93C42 Fuzzy control/observation systems
34H05 Control problems involving ordinary differential equations
93D99 Stability of control systems
93C05 Linear systems in control theory
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