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Stability Analysis of Takagi–Sugeno Fuzzy Cellular Neural Networks With Time-Varying Delays
Authors:Hou  Y-Y Liao  T-L Yan  J-J
Affiliation:Dept. of Eng. Sci, Nat. Cheng Kung Univ., Tainan;
Abstract:This correspondence investigates the global exponential stability problem of Takagi-Sugeno fuzzy cellular neural networks with time-varying delays (TSFDCNNs). Based on the Lyapunov-Krasovskii functional theory and linear matrix inequality technique, a less conservative delay-dependent stability criterion is derived to guarantee the exponential stability of TSFDCNNs. By constructing a Lyapunov-Krasovskii functional, the supplementary requirement that the time derivative of time-varying delays must be smaller than one is released in the proposed delay-dependent stability criterion. Two illustrative examples are provided to verify the effectiveness of the proposed results
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