Exponential synchronization of time-varying delayed complex-valued neural networks under hybrid impulsive controllers

被引：63
作者：
Kan, Yu [1 ]
Lu, Jianquan [2 ,3 ]
Qiu, Jianlong [3 ,6 ]
Kurths, Juergen [4 ,5 ]
机构：
[1] Southeast Univ, Sch Automat, Nanjing 210096, Jiangsu, Peoples R China
[2] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China
[3] Linyi Univ, Sch Automat & Elect Engn, Key Lab Complex Syst & Intelligent Comp Univ Shan, Linyi 276005, Shandong, Peoples R China
[4] Potsdam Inst Climate Impact Res, D-14415 Potsdam, Germany
[5] Saratov NG Chernyshevskii State Univ, Saratov, Russia
[6] King Abdulaziz Univ, Jeddah 21589, Saudi Arabia
来源：
NEURAL NETWORKS | 2019年 / 114卷
基金：
中国国家自然科学基金;
关键词：
Complex-valued neural networks; Synchronization; Average impulsive interval; Average impulsive gain; Hybrid impulses; STOCHASTIC PERTURBATION; DYNAMICAL NETWORKS; STABILITY; DISCRETE; BIFURCATION; CRITERIA; MODEL;
D O I：
10.1016/j.neunet.2019.02.006
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 focuses on exponential synchronization for master-slave time-varying delayed complex-valued neural networks (CVNNs) under hybrid impulsive controllers. Hybrid impulsive controllers is the extension of impulsive controllers, which can simultaneously permit synchronizing as well as desynchronizing impulses in one impulsive sequence, i.e., hybrid impulses. We separate CVNNs into their real and imaginary parts, which leads to two real-valued neural networks (RVNNs). Based on the concepts of average impulsive interval (AII) and average impulsive gain (AIG), we find that master-slave exponential synchronization for the real and imaginary parts of CVNNs can be realized via hybrid impulsive control under certain conditions. By employing the Lyapunov method, sufficient criteria are established to guarantee synchronization of the given master-slave CVNNs. Finally, the validity of the obtained results is demonstrated via a numerical example. (c) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：157 / 163
页数：7
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