Passivity and Passification of Fuzzy Systems with Time Delays
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New results on H∞ filtering for fuzzy time-delay systems
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Robust H∞ control for discrete-time fuzzy systems with infinite-distributed delays
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Fuzzy filter design for itô stochastic systems with application to sensor fault detection
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Stability and stabilization of delayed T-S fuzzy systems: a delay partitioning approach
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Robust adaptive controller design for nonlinear time-delay systems via T-S fuzzy approach
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Takagi-Sugeno (T-S) fuzzy models are now often used to describe complex nonlinear systems in terms of fuzzy sets and fuzzy reasoning applied to a set of linear submodels. In this note, the T-S fuzzy model approach is exploited to establish stability criteria for a class of nonlinear stochastic systems with time delay. Sufficient conditions are derived in the format of linear matrix inequalities (LMIs), such that for all admissible parameter uncertainties, the overall fuzzy system is stochastically exponentially stable in the mean square, independent of the time delay. Therefore, with the numerically attractive Matlab LMI toolbox, the robust stability of the uncertain stochastic fuzzy systems with time delays can be easily checked.