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Robust stability of T-S fuzzy systems with time-varying delay and Polytopic-Type uncertainty

Idrissi Said, El Houssaine Tissir


This paper is concerned with the problem of the robust stability of T-S fuzzy system with time-varying delay and polytopic-type uncertainties. Our method presents new delay dependent stability conditions. These conditions, expressed as a set of linear matrix inequalities, require no matrix variable to be fixed for the entire uncertainty polytope, which produces a less conservative stability test result. Numerical examples are given to show the effectiveness of the proposed technique.


T-S fuzzy system, time varying delay, robust stability, Liner matrix inequality (LMIs).

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