Fuzzy sampled‐data exponential synchronization of T‐S fuzzy complex networks with discontinuous activations and mixed time‐varying delays
Fuzzy sampled‐data exponential synchronization of T‐S fuzzy complex networks with discontinuous activations and mixed time‐varying delays
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DOI：
10.1049/cth2.12271
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发表时间：
2022-03
期刊：
影响因子：
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通讯作者：
Xiru Wu;Qingming Ai;Yuchong Zhang;Yaonan Wang
中科院分区：
文献类型：
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作者：
Xiru Wu;Qingming Ai;Yuchong Zhang;Yaonan Wang
研究了具有不连续激活和混合时滞的T-S模糊复杂网络的指数同步问题。基于IF-THEN规则，通过对局部线性系统进行插补，得到了逼近非线性动态系统的复杂网络T-S模糊模型。通过构造双边时变Lyapunov-Krasovskii泛函，设计了一种模糊采样数据控制策略来实现TSFCN的指数稳定性。进一步，根据Filippov间断理论，得到了线性矩阵不等式约束下具有间断激活和混合时变时滞的TSFCN的指数同步准则。最后，给出了两个数值仿真，验证了该方法的有效性和可行性。
This paper investigates the exponential synchronization for T‐S fuzzy complex networks (TSFCNs) with discontinuous activations and mixed time‐varying delays. Based on the IF‐THEN rules, the T‐S fuzzy model of complex networks has been obtained to approximate non‐linear dynamic systems via interpolating certain local linear system. A fuzzy sampled‐data control strategy is designed to achieve exponential stability for the TSFCN by constructing the bilateral time‐dependent Lyapunov–Krasovskii functional. Furthermore, according to the Filippov discontinuity theory, the exponential synchronization criteria of TSFCN with discontinuous activations and mixed time‐varying delays under the linear matrix inequality constraints are obtained. Finally, two numerical simulations are provided to illustrate the effectiveness and feasibility of the proposed method.