Global μ-synchronization of impulsive complex-valued neural networks with leakage delay and mixed time-varying delays

被引：26

作者：

Hu, Binxin ^{[1
]}

Song, Qiankun ^{[1
]}

Li, Kelin ^{[2
]}

Zhao, Zhenjiang ^{[3
]}

Liu, Yurong ^{[4
,5
]}

Alsaadi, Fuad E. ^{[5
]}

机构：

[1] Chongqing Jiaotong Univ, Dept Math, Chongqing 400074, Peoples R China

[2] Sichuan Univ Sci & Engn, Dept Math, Zigong 643000, Sichuan, Peoples R China

[3] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China

[4] Yangzhou Univ, Dept Math, Yangzhou 225002, Jiangsu, Peoples R China

[5] King Abdulaziz Univ, Fac Engn, Commun Syst & Networks CSN Res Grp, Jeddah 21589, Saudi Arabia

来源：

NEUROCOMPUTING | 2018年 / 307卷

基金：

中国国家自然科学基金;

关键词：

Complex-valued neural networks; Discrete time-varying delays; Distributed time-varying delays; Leakage delay; Impulsive effects; Global mu-synchronization; STATE ESTIMATION; SYSTEMS; STABILITY; DISCRETE; DESIGN; ARRAY;

D O I：

10.1016/j.neucom.2018.04.040

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, the problem on synchronization is investigated for a class of impulsive complex-valued neural networks with discrete and distributed time-varying delays as well as leakage delay. By constructing appropriate Lyapunov-Krasovskii functional, and using Newton-Leibniz formulation, inequality technique and free-weighting matrix method, several sufficient criteria to guarantee the global mu-synchronization are derived for the considered impulsive complex-valued neural networks. The provided conditions are expressed in terms of linear matrix inequalities, and are dependent on the sizes of discrete delays, distributed delays and leakage delay. An example with simulations is provided to verify the effectiveness of the obtained results. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：106 / 116

页数：11

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