This article presents new exponential stability and stabilisation conditions for Takagi-Sugeno fuzzy time-varying delay systems. Based on an improved Lyapunov-Krasovskii functional, the exponential stability and stabilisation conditions are derived in terms of linear matrix inequalities, which allows one to compute simultaneously the two bounds that characterise the exponential stability rate of the solution. Finally, some numerical examples are given to illustrate the effectiveness of the proposed conditions. © 2010 Taylor & Francis.

Hien L.V.

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Từ khóa : Exponential stability; Linear matrix; Stabilisation; Takagi-Sugeno models; Time-delay systems; Delay control systems; Exponential functions; Fuzzy control; Linear matrix inequalities; Lyapunov functions; Modal analysis; Switching systems; System stability; Time delay; Time varying control systems; Uncertain systems; Control system stability