Exponential synchronization for inertial coupled neural networks under directed topology via pinning impulsive control

被引：27

作者：

Chen, Shanshan ^{[1
]}

Jiang, Haijun ^{[1
]}

Lu, Binglong ^{[1
]}

Yu, Zhiyong ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2020年 / 357卷 / 03期

关键词：

TIME-VARYING DELAY; DYNAMICAL NETWORKS; CRITERIA; STABILITY; STABILIZATION; SYSTEMS; MODEL;

D O I：

10.1016/j.jfranklin.2019.11.032

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article focuses on the exponential synchronization of inertial coupled neural networks (ICNNs) with time-varying delays. An extended Halanay differential inequality, matrix decomposition theory and the average impulsive interval approach are used to derive some sufficient conditions. Furthermore, in the view of directed topology, the pinning impulsive control is designed so that the dynamical networks can achieve the exponential synchronization. Finally, some numerical examples are given to illustrate our theoretical results. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：1671 / 1689

页数：19

共 47 条

[11] A Survey on Model-Based Distributed Control and Filtering for Industrial Cyber-Physical Systems
Ding, Derui
Han, Qing-Long
Wang, Zidong
Ge, Xiaohua
[J]. IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS, 2019, 15 (05) : 2483 - 2499
[12] Achieving Cluster Formation of Multi-Agent Systems Under Aperiodic Sampling and Communication Delays
Ge, Xiaohua
Han, Qing-Long
Zhang, Xian-Ming
[J]. IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2018, 65 (04) : 3417 - 3426
[13] Consensus of Multiagent Systems Subject to Partially Accessible and Overlapping Markovian Network Topologies
Ge, Xiaohua
Han, Qing-Long
[J]. IEEE TRANSACTIONS ON CYBERNETICS, 2017, 47 (08) : 1807 - 1819
[14] Gray C M, 1994, J Comput Neurosci, V1, P11, DOI 10.1007/BF00962716
[15] Global exponential synchronization of multiple coupled inertial memristive neural networks with time-varying delay via nonlinear coupling
Guo, Zhenyuan
Gong, Shuqing
Yang, Shaofu
Huang, Tingwen
[J]. NEURAL NETWORKS, 2018, 108 : 260 - 271
[16] Bogdanov-Takens bifurcation in a single inertial neuron model with delay
He, Xing
Li, Chuandong
Shu, Yonglu
[J]. NEUROCOMPUTING, 2012, 89 : 193 - 201
[17] Bifurcation and stabilization of oscillations in ring neural networks with inertia
Horikawa, Yo
Kitajima, Hiroyuki
[J]. PHYSICA D-NONLINEAR PHENOMENA, 2009, 238 (23-24) : 2409 - 2418
[18] Horn R.A., 1986, Matrix Analysis
[19] GLOBAL ATTRACTIVITY OF A STAGE-STRUCTURE VARIABLE COEFFICIENTS PREDATOR-PREY SYSTEM WITH TIME DELAY AND IMPULSIVE PERTURBATIONS ON PREDATORS
Jiao, Jianjun
Chen, Lansun
[J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2008, 1 (02) : 197 - 208
[20] Li C., 2012, PHYSICA A, V34, P263

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