Quasi-synchronization of heterogeneous neural networks with distributed and proportional delays via impulsive control

被引：16
|
作者：
Zhu, Ruiyuan [1 ]
Guo, Yingxin [1 ]
Wang, Fei [1 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2020年 / 141卷
关键词：
Neural networks (NNs); Complex quasi-synchronization; Proportional delay; Distributed-delay; Impulsive control;
D O I：
10.1016/j.chaos.2020.110322
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we discuss the quasi-synchronization of delayed heterogeneous dynamic neural networks based on impulsive control. The main difference of this paper with previous works on quasi-synchronization is that both proportional delay and distributed delay are considered. By establishing a novel impulsive delay inequality, combining Lyapunov theory and the concept of average impulsive interval, some necessary items for quasi-synchronization of delayed heterogeneous dynamic neural networks are obtained. Moreover, through using the generalized formulae for the variation of proportional and distributed delay parameters, the theoretical error bounded of quasi-synchronization is estimated. Finally, numerical examples are listed to explain the validity of our results. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：13
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