Synchronization and anti-synchronization for complex-valued inertial neural networks with time-varying delays

被引：51
|
作者：
Wei, Xiaofeng [1 ]
Zhang, Ziye [1 ]
Lin, Chong [2 ]
Chen, Jian [3 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
[2] Qingdao Univ, Inst Complex Sci, Qingdao 266071, Peoples R China
[3] Qingdao Univ Technol, Coll Automat Engn, Qingdao 266555, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2021年 / 403卷
基金：
中国国家自然科学基金;
关键词：
Synchronization; Anti-synchronization; Complex-valued inertial neural networks; Time-varying delays; NON-REDUCED ORDER; STABILITY ANALYSIS;
D O I：
10.1016/j.amc.2021.126194
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, synchronization and anti-synchronization problems of complex-valued inertial neural networks with time-varying delays are studied. Firstly, the complex-valued inertial neural networks model is expressed as the first-order complex-valued differential system through the method of variable substitution. Then, via constructing the appropriate Lyapunov functional and using linear matrix inequalities (LMIs) approach, some sufficient conditions to ensure the synchronization and anti-synchronization of the considered system are established. Finally, numerical examples are given to demonstrate the effectiveness of the proposed results. (C) 2021 Elsevier Inc. All rights reserved.
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页数：17
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