Passivity and Synchronization of Multiple Multi-Delayed Neural Networks via Impulsive Control
Passivity and Synchronization of Multiple Multi-Delayed Neural Networks via Impulsive Control
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DOI：
10.1155/2020/6021687
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发表时间：
2020-07
影响因子：
1.4
通讯作者：
Yong Wang;Zhichun Yang;Tonglai Liu;Hong-An Tang
中科院分区：
文献类型：
--
作者：
Yong Wang;Zhichun Yang;Tonglai Liu;Hong-An Tang
本文关注脉冲控制下多个多延迟神经网络（MMDNN）的无源性和同步性。为了确保MMDNN的无源性、输入严格无源性和输出严格无源性，设计了合适的脉冲控制器。此外，利用脉冲时间相关的 Lyapunov 泛函来获得 MMDNN 的同步准则，其中该准则由线性矩阵不等式表示。给出数值算例验证了理论结果的有效性。
This paper is concerned with the passivity and synchronization for multiple multi-delayed neural networks (MMDNNs) under impulsive control. To ensure the passivity, input strict passivity, and output strict passivity in MMDNNs, a suitable impulsive controller is designed. Moreover, an impulsive time-dependent Lyapunov functional is exploited to obtain the synchronization criterion of MMDNNs, where the criterion is formulated by linear matrix inequalities. Numerical examples are given to verify the validity of the theoretical results.