Finite-Time Synchronization for a Class of Multiweighted Complex Networks with Markovian Switching and Time-Varying Delay

In this paper, we investigate the finite-time synchronization control for a class of nonlinear coupled multiweighted complex networks (NCMWCNs) with Markovian switching and time-varying delay analytically and quantitatively. The value of this study lies in four aspects: First, it designs the finite-...

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Main Authors: Ying Liu, Fei Chen, Bin Yang, Xin Wang, Weiming Wang
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/6819289
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author Ying Liu
Fei Chen
Bin Yang
Xin Wang
Weiming Wang
author_facet Ying Liu
Fei Chen
Bin Yang
Xin Wang
Weiming Wang
author_sort Ying Liu
collection DOAJ
description In this paper, we investigate the finite-time synchronization control for a class of nonlinear coupled multiweighted complex networks (NCMWCNs) with Markovian switching and time-varying delay analytically and quantitatively. The value of this study lies in four aspects: First, it designs the finite-time synchronization controller to make the NCMWCNs with Markovian switching and time-varying delay achieve global synchronization in finite time. Second, it derives two kinds of finite-time estimation approaches by analyzing the impact of the nonlinearity of nonlinear coupled function on synchronization dynamics and synchronization convergence time. Third, it presents the relationship between Markovian switching parameters and synchronization problems of subsystems and the overall system. Fourth, it provides some numerical examples to demonstrate the effectiveness of the theoretical results.
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spelling doaj-art-65e6f72337bb4608badb8d10dc586cde2025-02-03T06:46:23ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/68192896819289Finite-Time Synchronization for a Class of Multiweighted Complex Networks with Markovian Switching and Time-Varying DelayYing Liu0Fei Chen1Bin Yang2Xin Wang3Weiming Wang4School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, ChinaSchool of Politics and Public Administration, Soochow University, Suzhou 215123, ChinaSchool of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, ChinaSchool of Computer Science and Technology, Huaiyin Normal University, Huaian 223300, ChinaSchool of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, ChinaIn this paper, we investigate the finite-time synchronization control for a class of nonlinear coupled multiweighted complex networks (NCMWCNs) with Markovian switching and time-varying delay analytically and quantitatively. The value of this study lies in four aspects: First, it designs the finite-time synchronization controller to make the NCMWCNs with Markovian switching and time-varying delay achieve global synchronization in finite time. Second, it derives two kinds of finite-time estimation approaches by analyzing the impact of the nonlinearity of nonlinear coupled function on synchronization dynamics and synchronization convergence time. Third, it presents the relationship between Markovian switching parameters and synchronization problems of subsystems and the overall system. Fourth, it provides some numerical examples to demonstrate the effectiveness of the theoretical results.http://dx.doi.org/10.1155/2020/6819289
spellingShingle Ying Liu
Fei Chen
Bin Yang
Xin Wang
Weiming Wang
Finite-Time Synchronization for a Class of Multiweighted Complex Networks with Markovian Switching and Time-Varying Delay
Complexity
title Finite-Time Synchronization for a Class of Multiweighted Complex Networks with Markovian Switching and Time-Varying Delay
title_full Finite-Time Synchronization for a Class of Multiweighted Complex Networks with Markovian Switching and Time-Varying Delay
title_fullStr Finite-Time Synchronization for a Class of Multiweighted Complex Networks with Markovian Switching and Time-Varying Delay
title_full_unstemmed Finite-Time Synchronization for a Class of Multiweighted Complex Networks with Markovian Switching and Time-Varying Delay
title_short Finite-Time Synchronization for a Class of Multiweighted Complex Networks with Markovian Switching and Time-Varying Delay
title_sort finite time synchronization for a class of multiweighted complex networks with markovian switching and time varying delay
url http://dx.doi.org/10.1155/2020/6819289
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