Finite-Time Antisynchronization and Parameters Identification of Nonlinear Coupled Multiple-Weight Markovian Switching Complex Networks with Stochastic Perturbations

The paper mainly focuses on the synchronization of multiple-weight Markovian switching complex networks under nonlinear coupling mode. Based on the finite-time stability theory, Itô’s lemma, and some inequality technologies, the synchronization criterion of network models in the nonlinear coupling m...

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Main Authors: Haifeng Qiu, Liguo Weng, Bin Yu, Yanghui Zhang
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2020/7456120
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author Haifeng Qiu
Liguo Weng
Bin Yu
Yanghui Zhang
author_facet Haifeng Qiu
Liguo Weng
Bin Yu
Yanghui Zhang
author_sort Haifeng Qiu
collection DOAJ
description The paper mainly focuses on the synchronization of multiple-weight Markovian switching complex networks under nonlinear coupling mode. Based on the finite-time stability theory, Itô’s lemma, and some inequality technologies, the synchronization criterion of network models in the nonlinear coupling mode is obtained; at the same time, unknown parameters of networks are also identified by an effective controller. In addition, several corollaries are given to illustrate the general applicability of the control rules in the paper. Finally, two typical numerical simulations are given to prove the rationality and feasibility of theoretical analysis of network models.
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id doaj-art-edac48bfa1a4419a8a6d9b9b81a0d484
institution Kabale University
issn 1687-9120
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language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Advances in Mathematical Physics
spelling doaj-art-edac48bfa1a4419a8a6d9b9b81a0d4842025-02-03T01:00:39ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/74561207456120Finite-Time Antisynchronization and Parameters Identification of Nonlinear Coupled Multiple-Weight Markovian Switching Complex Networks with Stochastic PerturbationsHaifeng Qiu0Liguo Weng1Bin Yu2Yanghui Zhang3State Grid Hangzhou Xiaoshan Power Supply Company, Hangzhou 311200, ChinaState Grid Hangzhou Xiaoshan Power Supply Company, Hangzhou 311200, ChinaState Grid Hangzhou Xiaoshan Power Supply Company, Hangzhou 311200, ChinaState Grid Hangzhou Xiaoshan Power Supply Company, Hangzhou 311200, ChinaThe paper mainly focuses on the synchronization of multiple-weight Markovian switching complex networks under nonlinear coupling mode. Based on the finite-time stability theory, Itô’s lemma, and some inequality technologies, the synchronization criterion of network models in the nonlinear coupling mode is obtained; at the same time, unknown parameters of networks are also identified by an effective controller. In addition, several corollaries are given to illustrate the general applicability of the control rules in the paper. Finally, two typical numerical simulations are given to prove the rationality and feasibility of theoretical analysis of network models.http://dx.doi.org/10.1155/2020/7456120
spellingShingle Haifeng Qiu
Liguo Weng
Bin Yu
Yanghui Zhang
Finite-Time Antisynchronization and Parameters Identification of Nonlinear Coupled Multiple-Weight Markovian Switching Complex Networks with Stochastic Perturbations
Advances in Mathematical Physics
title Finite-Time Antisynchronization and Parameters Identification of Nonlinear Coupled Multiple-Weight Markovian Switching Complex Networks with Stochastic Perturbations
title_full Finite-Time Antisynchronization and Parameters Identification of Nonlinear Coupled Multiple-Weight Markovian Switching Complex Networks with Stochastic Perturbations
title_fullStr Finite-Time Antisynchronization and Parameters Identification of Nonlinear Coupled Multiple-Weight Markovian Switching Complex Networks with Stochastic Perturbations
title_full_unstemmed Finite-Time Antisynchronization and Parameters Identification of Nonlinear Coupled Multiple-Weight Markovian Switching Complex Networks with Stochastic Perturbations
title_short Finite-Time Antisynchronization and Parameters Identification of Nonlinear Coupled Multiple-Weight Markovian Switching Complex Networks with Stochastic Perturbations
title_sort finite time antisynchronization and parameters identification of nonlinear coupled multiple weight markovian switching complex networks with stochastic perturbations
url http://dx.doi.org/10.1155/2020/7456120
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AT binyu finitetimeantisynchronizationandparametersidentificationofnonlinearcoupledmultipleweightmarkovianswitchingcomplexnetworkswithstochasticperturbations
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