Global power synchronization of complex dynamical networks with proportional delay and impulsive effects

被引：14

作者：

Guan, Kaizhong ^{[1
]}

Tan, Fuhao ^{[1
]}

Yang, Junhao ^{[1
]}

机构：

[1] Wuyi Univ, Sch Math & Computat Sci, Jiangmen 529020, Guangdong, Peoples R China

来源：

NEUROCOMPUTING | 2019年 / 366卷

关键词：

Global power synchronization; Complex dynamical network; Proportional delay; Impulse; Lyapunov functional; Linear matrix inequality (LMI); TIME-VARYING DELAY; CELLULAR NEURAL-NETWORKS; EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; SYSTEMS; CRITERIA; DIFFERENTIATION;

D O I：

10.1016/j.neucom.2019.07.087

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper discusses the global power synchronization of a class of coupled neural networks with proportional delay and impulsive effects. By constructing Lyapunov functionals and introducing a new concept named "log average impulsive interval", a unified global power synchronization criterion is derived for the addressed impulsive complex networks, which is simultaneously effective for synchronizing impulses and desynchronizing impulses. Based on a known impulsive delay inequality involving proportional delay, suitable impulsive controllers are also designed to globally power synchronize complex dynamical networks with proportional delay. The conditions are represented as linear matrix inequalities, and so they are convenient and feasible in practical problems. Two illustrative numerical examples are provided to demonstrate the effectiveness of the theoretical results. (C) 2019 Elsevier B.V. All rights reserved.

引用

页码：23 / 34

页数：12

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