Abstract

In this paper, in accordance with continuous and discrete fuzzy models of general nonlinear systems, fuzzy Delta operator system descriptions are proposed, and fuzzy reasoning rules are formulated. Based on the fuzzy reasoning rules, state space descriptions of the fuzzy Delta operator systems are given, and stability and stabilization are discussed. The stabilization conditions of the fuzzy Delta operator systems are given as a set of linear matrix inequalities, which facilitate the determination of fuzzy stabilizers.

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