Exponential Synchronization of Neural Networks via Feedback Control in Complex Environment

Exponential Synchronization of Neural Networks via Feedback Control in Complex Environment

The problem of exponential synchronization for neural networks is investigated via feedback control in complex environment. By constructing suitable Lyapunov-Krasovskii functionals and applying the piecewise analytic method, some sufficient criteria for exponential synchronization of the addressed n...

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Main Authors: Xiaoxiao Lv, Xiaodi Li, Jinde Cao, Peiyong Duan
Format: Article
Language:English
Published: Hindawi-Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/4352714
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spelling doaj-3ff8f72b1f6449ada9fd2d68c250b7d72020-11-25T01:11:32ZengHindawi-WileyComplexity1076-27871099-05262018-01-01201810.1155/2018/43527144352714Exponential Synchronization of Neural Networks via Feedback Control in Complex EnvironmentXiaoxiao Lv0Xiaodi Li1Jinde Cao2Peiyong Duan3School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, ChinaSchool of Mathematics and Statistics, Shandong Normal University, Jinan 250014, ChinaSchool of Mathematics, Southeast University, Nanjing 210096, ChinaSchool of Information Science and Engineering, Shandong Normal University, Jinan 250014, ChinaThe problem of exponential synchronization for neural networks is investigated via feedback control in complex environment. By constructing suitable Lyapunov-Krasovskii functionals and applying the piecewise analytic method, some sufficient criteria for exponential synchronization of the addressed neural networks are established in terms of linear matrix inequalities (LMIs). The feedback control in complex environment includes the delayed aperiodically intermittent control and dynamic output feedback control. Moreover, the delayed aperiodically intermittent dynamic output feedback controller is designed based on the established LMIs. A numerical example and its numerical simulations are finally presented to show the effectiveness of obtained theoretical results.http://dx.doi.org/10.1155/2018/4352714
collection DOAJ
language English
format Article
sources DOAJ
author Xiaoxiao Lv
Xiaodi Li
Jinde Cao
Peiyong Duan
spellingShingle Xiaoxiao Lv
Xiaodi Li
Jinde Cao
Peiyong Duan
Exponential Synchronization of Neural Networks via Feedback Control in Complex Environment
Complexity
author_facet Xiaoxiao Lv
Xiaodi Li
Jinde Cao
Peiyong Duan
author_sort Xiaoxiao Lv
title Exponential Synchronization of Neural Networks via Feedback Control in Complex Environment
title_short Exponential Synchronization of Neural Networks via Feedback Control in Complex Environment
title_full Exponential Synchronization of Neural Networks via Feedback Control in Complex Environment
title_fullStr Exponential Synchronization of Neural Networks via Feedback Control in Complex Environment
title_full_unstemmed Exponential Synchronization of Neural Networks via Feedback Control in Complex Environment
title_sort exponential synchronization of neural networks via feedback control in complex environment
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2018-01-01
description The problem of exponential synchronization for neural networks is investigated via feedback control in complex environment. By constructing suitable Lyapunov-Krasovskii functionals and applying the piecewise analytic method, some sufficient criteria for exponential synchronization of the addressed neural networks are established in terms of linear matrix inequalities (LMIs). The feedback control in complex environment includes the delayed aperiodically intermittent control and dynamic output feedback control. Moreover, the delayed aperiodically intermittent dynamic output feedback controller is designed based on the established LMIs. A numerical example and its numerical simulations are finally presented to show the effectiveness of obtained theoretical results.
url http://dx.doi.org/10.1155/2018/4352714
work_keys_str_mv AT xiaoxiaolv exponentialsynchronizationofneuralnetworksviafeedbackcontrolincomplexenvironment
AT xiaodili exponentialsynchronizationofneuralnetworksviafeedbackcontrolincomplexenvironment
AT jindecao exponentialsynchronizationofneuralnetworksviafeedbackcontrolincomplexenvironment
AT peiyongduan exponentialsynchronizationofneuralnetworksviafeedbackcontrolincomplexenvironment
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