Finite-Time Passivity of Stochastic Coupled Complex Networks

The finite-time passivity problem is, respectively, investigated for stochastic coupled complex networks (SCCNs) with and without time-varying delay. Firstly, we present several new concepts about finite-time passivity in the sense of expectation on the basis of existing passivity definition. By des...

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Main Authors: Xunwu Yin, Min Cao
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2021/9905125
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author Xunwu Yin
Min Cao
author_facet Xunwu Yin
Min Cao
author_sort Xunwu Yin
collection DOAJ
description The finite-time passivity problem is, respectively, investigated for stochastic coupled complex networks (SCCNs) with and without time-varying delay. Firstly, we present several new concepts about finite-time passivity in the sense of expectation on the basis of existing passivity definition. By designing appropriate controllers, the finite-time passivity of SCCNs with and without time-varying delay is obtained. In addition, the definition of finite-time synchronization in the sense of expectation is proposed. Under some sufficient conditions and designed controllers, finite-time passivity derives finite-time synchronization. Finally, two examples are given to demonstrate the effectiveness of finite-time passive and synchronization criteria.
format Article
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institution Kabale University
issn 1026-0226
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language English
publishDate 2021-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-1736a8e137fa402fae29a7175eda613c2025-02-03T05:45:11ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/99051259905125Finite-Time Passivity of Stochastic Coupled Complex NetworksXunwu Yin0Min Cao1School of Mathematical Sciences, Tiangong University, Tianjin 300387, ChinaSchool of Computer Science and Technology, Tiangong University, Tianjin 300387, ChinaThe finite-time passivity problem is, respectively, investigated for stochastic coupled complex networks (SCCNs) with and without time-varying delay. Firstly, we present several new concepts about finite-time passivity in the sense of expectation on the basis of existing passivity definition. By designing appropriate controllers, the finite-time passivity of SCCNs with and without time-varying delay is obtained. In addition, the definition of finite-time synchronization in the sense of expectation is proposed. Under some sufficient conditions and designed controllers, finite-time passivity derives finite-time synchronization. Finally, two examples are given to demonstrate the effectiveness of finite-time passive and synchronization criteria.http://dx.doi.org/10.1155/2021/9905125
spellingShingle Xunwu Yin
Min Cao
Finite-Time Passivity of Stochastic Coupled Complex Networks
Discrete Dynamics in Nature and Society
title Finite-Time Passivity of Stochastic Coupled Complex Networks
title_full Finite-Time Passivity of Stochastic Coupled Complex Networks
title_fullStr Finite-Time Passivity of Stochastic Coupled Complex Networks
title_full_unstemmed Finite-Time Passivity of Stochastic Coupled Complex Networks
title_short Finite-Time Passivity of Stochastic Coupled Complex Networks
title_sort finite time passivity of stochastic coupled complex networks
url http://dx.doi.org/10.1155/2021/9905125
work_keys_str_mv AT xunwuyin finitetimepassivityofstochasticcoupledcomplexnetworks
AT mincao finitetimepassivityofstochasticcoupledcomplexnetworks