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This paper deals with reducing the conservatism of stability conditions for continuous-time T–S fuzzy systems. Previous stability conditions are relaxed by further exploring the properties of the time derivatives of normalized fuzzy weighting functions and by introducing more slack matrix variables. By relying on analysis of the positive and negative characteristics of the time derivatives of normalized...
This paper investigates the problem of H∞ filtering for continuous-time nonlinear systems in the Takagi–Sugeno (T–S) fuzzy model form. Different from the existing fuzzy H∞ filters, a novel filter is designed such that the filter matrices are homogeneous polynomially parameter dependent on membership functions with an arbitrary degree. By developing both the novel fuzzy H∞ filter and a kind of slack...
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