Exponential Synchronization Control of Discontinuous Nonautonomous Networks and Autonomous Coupled Networks

Exponential Synchronization Control of Discontinuous Nonautonomous Networks and Autonomous Coupled Networks

This paper concerns complex delayed neural networks with discontinuous activations. Based on the framework of differential inclusion theory, we design two novel controllers by regulating a parameter σ 0≤σ<1 which covers both discontinuous and continuous controllers. Then, we investigate a nonauto...

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Main Authors: Chao Yang, Lihong Huang, Fangmin Li
Format: Article
Language:English
Published: Hindawi-Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/6164786
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spelling doaj-f21cf10ee13e45f28692c8d832261a3b2020-11-24T20:47:11ZengHindawi-WileyComplexity1076-27871099-05262018-01-01201810.1155/2018/61647866164786Exponential Synchronization Control of Discontinuous Nonautonomous Networks and Autonomous Coupled NetworksChao Yang0Lihong Huang1Fangmin Li2Department of Mathematics and Computer Science, Changsha University, Changsha 410022, ChinaSchool of Mathematical and Statistics, Changsha University of Science and Technology, Changsha, Hunan 410114, ChinaDepartment of Mathematics and Computer Science, Changsha University, Changsha 410022, ChinaThis paper concerns complex delayed neural networks with discontinuous activations. Based on the framework of differential inclusion theory, we design two novel controllers by regulating a parameter σ 0≤σ<1 which covers both discontinuous and continuous controllers. Then, we investigate a nonautonomous cellular neural network system and autonomous neural network with linear coupling, respectively. By choosing a time-dependent Lyapunov-Krasovskii functional candidate and suitable controllers, some criteria are studied to guarantee the exponential synchronization of the complex delayed dynamical network. Finally, two numerical examples are given to illustrate our theoretical analysis.http://dx.doi.org/10.1155/2018/6164786
collection DOAJ
language English
format Article
sources DOAJ
author Chao Yang
Lihong Huang
Fangmin Li
spellingShingle Chao Yang
Lihong Huang
Fangmin Li
Exponential Synchronization Control of Discontinuous Nonautonomous Networks and Autonomous Coupled Networks
Complexity
author_facet Chao Yang
Lihong Huang
Fangmin Li
author_sort Chao Yang
title Exponential Synchronization Control of Discontinuous Nonautonomous Networks and Autonomous Coupled Networks
title_short Exponential Synchronization Control of Discontinuous Nonautonomous Networks and Autonomous Coupled Networks
title_full Exponential Synchronization Control of Discontinuous Nonautonomous Networks and Autonomous Coupled Networks
title_fullStr Exponential Synchronization Control of Discontinuous Nonautonomous Networks and Autonomous Coupled Networks
title_full_unstemmed Exponential Synchronization Control of Discontinuous Nonautonomous Networks and Autonomous Coupled Networks
title_sort exponential synchronization control of discontinuous nonautonomous networks and autonomous coupled networks
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2018-01-01
description This paper concerns complex delayed neural networks with discontinuous activations. Based on the framework of differential inclusion theory, we design two novel controllers by regulating a parameter σ 0≤σ<1 which covers both discontinuous and continuous controllers. Then, we investigate a nonautonomous cellular neural network system and autonomous neural network with linear coupling, respectively. By choosing a time-dependent Lyapunov-Krasovskii functional candidate and suitable controllers, some criteria are studied to guarantee the exponential synchronization of the complex delayed dynamical network. Finally, two numerical examples are given to illustrate our theoretical analysis.
url http://dx.doi.org/10.1155/2018/6164786
work_keys_str_mv AT chaoyang exponentialsynchronizationcontrolofdiscontinuousnonautonomousnetworksandautonomouscouplednetworks
AT lihonghuang exponentialsynchronizationcontrolofdiscontinuousnonautonomousnetworksandautonomouscouplednetworks
AT fangminli exponentialsynchronizationcontrolofdiscontinuousnonautonomousnetworksandautonomouscouplednetworks
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