Synchronization analysis for fractional order memristive Cohen-Grossberg neural networks with state feedback and impulsive control

被引：36

作者：

Zhang, Lingzhong ^{[2
]}

Yang, Yongqing ^{[1
,2
]}

Xu, Xianyun ^{[1
]}

机构：

[1] Wuxi Engn Res Ctr Biocomp, Sch Sci, Wuxi, Peoples R China

[2] Jiangnan Univ, Key Lab Adv Proc Control Light Ind, Minist Educ, Wuxi 214122, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2018年 / 506卷

关键词：

Synchronization; Fractional order Cohen-Grossberg system; Memristive;

D O I：

10.1016/j.physa.2018.04.088

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper studies drive response synchronization in fractional order memristive Cohen-Grossberg neural networks (FMCGNNs) with time delay. By applying the asymptotic expansion property of Mittag Leffler function and the definition of average impulsive, some sufficient conditions based on feedback control and impulsive control are established for achieving finite time synchronization and exponential synchronization of the FMCGNNs. Moreover, the selection of impulsive gain depends on the fractional order a. The upper bound of the setting time for synchronization is estimated and the precisely exponential convergence rate is obtained when two controllers are utilized. Finally, numerical simulations illustrate the correctness of the theoretical results for two different controllers. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：644 / 660

页数：17

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