Cluster Synchronization for Stochastic Coupled Neural Networks with Nonidentical Nodes via Adaptive Pinning Control

被引：4

作者：

Xie, Yongkai ^{[1
]}

Tong, Dongbing ^{[1
]}

Chen, Qiaoyu ^{[1
]}

Zhou, Wuneng ^{[2
]}

机构：

[1] Shanghai Univ Engn Sci, Coll Elect & Elect Engn, Shanghai 201620, Peoples R China

[2] Donghua Univ, Coll Informat Sci & Technol, Shanghai 200051, Peoples R China

来源：

NEURAL PROCESSING LETTERS | 2023年 / 55卷 / 05期

基金：

中国国家自然科学基金; 上海市自然科学基金;

关键词：

Cluster synchronization; Adaptive pinning control; Coupled neural network (CNNs ); Stochastic disturbances; SYSTEMS;

D O I：

10.1007/s11063-023-11149-9

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The cluster synchronization was investigated by adaptive pinning control for coupled neural networks (CNNs) with stochastic disturbances. In CNNs, nodes can only synchronize with the corresponding isolated nodes in the same cluster, and the synchronization status of nodes is different in different clusters. Then, adaptive pinning controllers are set on each cluster to realize cluster synchronization, which can select appropriate pinning nodes and eliminate the unknown feedback gain. In addition, for nonlinear functions in CNNs, an NCF (acceptable nonlinear coupling function class) method is used to approximate nonlinear functions to linear functions. On account of the adaptive pinning control strategy, the sufficient condition of mean-square exponential stability for CNNs is given by using M-matrix technique. Finally, the effectiveness of cluster synchronization under the adaptive pinning control are verified by two simulations.

引用

页码：6571 / 6593

页数：23

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