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In this paper, new results are presented for H∞ analysis and synthesis problems of discrete-time Takagi–Sugeno (TS) fuzzy systems. By defining a multiple Lyapunov function, a new sufficient condition guaranteeing the H∞ performance of the TS fuzzy systems is first derived, which is expressed by a set of linear matrix inequalities (LMIs). Both theoretical analysis and numerical examples show that such...
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