Synchronization of Interconnected Discontinuous Neural Networks With Nonlinear Coupling Functions

被引：8
|
作者：
Wang, Zengyun [1 ]
Liu, Xinzhi [2 ]
机构：
[1] Hunan First Normal Univ, Dept Math, Changsha 410205, Hunan, Peoples R China
[2] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada
来源：
IEEE ACCESS | 2019年 / 7卷
基金：
加拿大自然科学与工程研究理事会; 中国博士后科学基金; 中国国家自然科学基金;
关键词：
Exponential synchronization; nonlinear coupled neural networks; discontinuous activations; pinning impulsive controller; FINITE-TIME STABILIZATION; DYNAMICAL NETWORKS; DELAYED NETWORKS; SYSTEMS; CONVERGENCE; ACTIVATIONS;
D O I：
10.1109/ACCESS.2018.2877141
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Some criteria on exponential synchronization of multiple identical discontinuous neural networks with time delay are given in this paper. Different from the available results, the nodes of complex networks are coupled via nonlinear discontinuous functions. First, we study the existence of Filippov solution of the nonlinear coupled discontinuous neural networks (NCDNNs) based on differential inclusion theory. In addition, we derive some exponential synchronization criteria of the NCDNNs. Finally, we design a pinning impulsive controller to realize the exponential synchronization of NCDNNs. Numerical examples are presented to illustrate the obtained results.
引用
收藏
页码：25804 / 25814
页数：11
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