A type of fuzzy input-output model and its property

In this paper, a novel type of fuzzy input-output model (FIOM) is presented. Using this kind of fuzzy model, it is convenient for us to focus on the input-output properties of the nonlinear systems to be controlled. The FIOM is compared with the general T-S fuzzy model. Moreover, the L∞ gain of the nonlinear operator achieved by this kind of fuzzy input-output model is investigated, and the L∞ stability of the feedback system constructed by two such systems is examined based on the well known small gain theorem.

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