Sampled-Data-Based Adaptive Group Synchronization of Second-Order Nonlinear Complex Dynamical Networks with Time-Varying Delays

Sampled-Data-Based Adaptive Group Synchronization of Second-Order Nonlinear Complex Dynamical Networks with Time-Varying Delays

This paper studies the adaptive group synchronization of second-order nonlinear complex dynamical networks with sampled-data and time-varying delays by designing a new adaptive strategy to feedback gains and coupling strengths. According to Lyapunov stability properties, it is shown that the agents...

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Main Authors: Bo Liu, Jiahui Bai, Yue Zhao, Chao Liu, Xuemin Yan, Hongtao Zhou
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/9819156
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spelling doaj-6d0430d31c0f4b4184e75aff1f19b4432020-11-25T03:13:11ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/98191569819156Sampled-Data-Based Adaptive Group Synchronization of Second-Order Nonlinear Complex Dynamical Networks with Time-Varying DelaysBo Liu0Jiahui Bai1Yue Zhao2Chao Liu3Xuemin Yan4Hongtao Zhou5School of Information Engineering, Minzu University of China, Beijing 100081, ChinaCollege of Science, North China University of Technology, Beijing 100144, ChinaSchool of Information Engineering, Minzu University of China, Beijing 100081, ChinaSchool of Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, ChinaNational Institute of Education Sciences, Beijing 100088, ChinaKey Laboratory of Imaging Processing and Intelligence Control, School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan 430074, ChinaThis paper studies the adaptive group synchronization of second-order nonlinear complex dynamical networks with sampled-data and time-varying delays by designing a new adaptive strategy to feedback gains and coupling strengths. According to Lyapunov stability properties, it is shown that the agents of subgroups can converge the given synchronous states, respectively, under some conditions on the sampled period. Moreover, some simulation results are given.http://dx.doi.org/10.1155/2020/9819156
collection DOAJ
language English
format Article
sources DOAJ
author Bo Liu
Jiahui Bai
Yue Zhao
Chao Liu
Xuemin Yan
Hongtao Zhou
spellingShingle Bo Liu
Jiahui Bai
Yue Zhao
Chao Liu
Xuemin Yan
Hongtao Zhou
Sampled-Data-Based Adaptive Group Synchronization of Second-Order Nonlinear Complex Dynamical Networks with Time-Varying Delays
Mathematical Problems in Engineering
author_facet Bo Liu
Jiahui Bai
Yue Zhao
Chao Liu
Xuemin Yan
Hongtao Zhou
author_sort Bo Liu
title Sampled-Data-Based Adaptive Group Synchronization of Second-Order Nonlinear Complex Dynamical Networks with Time-Varying Delays
title_short Sampled-Data-Based Adaptive Group Synchronization of Second-Order Nonlinear Complex Dynamical Networks with Time-Varying Delays
title_full Sampled-Data-Based Adaptive Group Synchronization of Second-Order Nonlinear Complex Dynamical Networks with Time-Varying Delays
title_fullStr Sampled-Data-Based Adaptive Group Synchronization of Second-Order Nonlinear Complex Dynamical Networks with Time-Varying Delays
title_full_unstemmed Sampled-Data-Based Adaptive Group Synchronization of Second-Order Nonlinear Complex Dynamical Networks with Time-Varying Delays
title_sort sampled-data-based adaptive group synchronization of second-order nonlinear complex dynamical networks with time-varying delays
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2020-01-01
description This paper studies the adaptive group synchronization of second-order nonlinear complex dynamical networks with sampled-data and time-varying delays by designing a new adaptive strategy to feedback gains and coupling strengths. According to Lyapunov stability properties, it is shown that the agents of subgroups can converge the given synchronous states, respectively, under some conditions on the sampled period. Moreover, some simulation results are given.
url http://dx.doi.org/10.1155/2020/9819156
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