Finite-Time Projective Lag Synchronization and Identification between Multiple Weights Markovian Jumping Complex Networks with Stochastic Perturbations

Finite-Time Projective Lag Synchronization and Identification between Multiple Weights Markovian Jumping Complex Networks with Stochastic Perturbations

Two nonidentical dimension Markovian jumping complex networks with stochastic perturbations are taken as objects. The network models under two conditions including single weight and double weights are established, respectively, to study the problem of synchronization and identification. A finite-tim...

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Main Authors: Qian Xie, Changhui Mu, Tong Wang, Gang Wu, Rong Jia
Format: Article
Language:English
Published: Hindawi-Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/9713652
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spelling doaj-66d19add40b54a348eb960dc7787016d2020-11-25T02:37:48ZengHindawi-WileyComplexity1076-27871099-05262020-01-01202010.1155/2020/97136529713652Finite-Time Projective Lag Synchronization and Identification between Multiple Weights Markovian Jumping Complex Networks with Stochastic PerturbationsQian Xie0Changhui Mu1Tong Wang2Gang Wu3Rong Jia4Institute of Water Resources and Hydro-electric Engineering, Xi’an University of Technology, Xi’an 710048, ChinaInstitute of Water Resources and Hydro-electric Engineering, Xi’an University of Technology, Xi’an 710048, ChinaShaanxi Provincial Natural Gas Co., Ltd., Shaanxi Gas Group Co., Ltd., Xi’an 710016, ChinaChangbei Operating Company, PetroChina Changqing Oilfield Company, Xi’an 710018, ChinaInstitute of Water Resources and Hydro-electric Engineering, Xi’an University of Technology, Xi’an 710048, ChinaTwo nonidentical dimension Markovian jumping complex networks with stochastic perturbations are taken as objects. The network models under two conditions including single weight and double weights are established, respectively, to study the problem of synchronization and identification. A finite-time projection lag synchronization method is proposed and the unknown parameters of the network are identified. First of all, based on Itô’s formula and the stability theory of finite-time, a credible finite-time adaptive controller is presented to guarantee the synchronization of two nonidentical dimension Markovian jumping complex networks with stochastic perturbations under both conditions. Meanwhile, in order to identify the uncertain parameters of the network with stochastic perturbations accurately, some corresponding sufficient conditions are given. Finally, numerical simulations under two working conditions are given to demonstrate the effectiveness and feasibility of the main theory result.http://dx.doi.org/10.1155/2020/9713652
collection DOAJ
language English
format Article
sources DOAJ
author Qian Xie
Changhui Mu
Tong Wang
Gang Wu
Rong Jia
spellingShingle Qian Xie
Changhui Mu
Tong Wang
Gang Wu
Rong Jia
Finite-Time Projective Lag Synchronization and Identification between Multiple Weights Markovian Jumping Complex Networks with Stochastic Perturbations
Complexity
author_facet Qian Xie
Changhui Mu
Tong Wang
Gang Wu
Rong Jia
author_sort Qian Xie
title Finite-Time Projective Lag Synchronization and Identification between Multiple Weights Markovian Jumping Complex Networks with Stochastic Perturbations
title_short Finite-Time Projective Lag Synchronization and Identification between Multiple Weights Markovian Jumping Complex Networks with Stochastic Perturbations
title_full Finite-Time Projective Lag Synchronization and Identification between Multiple Weights Markovian Jumping Complex Networks with Stochastic Perturbations
title_fullStr Finite-Time Projective Lag Synchronization and Identification between Multiple Weights Markovian Jumping Complex Networks with Stochastic Perturbations
title_full_unstemmed Finite-Time Projective Lag Synchronization and Identification between Multiple Weights Markovian Jumping Complex Networks with Stochastic Perturbations
title_sort finite-time projective lag synchronization and identification between multiple weights markovian jumping complex networks with stochastic perturbations
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2020-01-01
description Two nonidentical dimension Markovian jumping complex networks with stochastic perturbations are taken as objects. The network models under two conditions including single weight and double weights are established, respectively, to study the problem of synchronization and identification. A finite-time projection lag synchronization method is proposed and the unknown parameters of the network are identified. First of all, based on Itô’s formula and the stability theory of finite-time, a credible finite-time adaptive controller is presented to guarantee the synchronization of two nonidentical dimension Markovian jumping complex networks with stochastic perturbations under both conditions. Meanwhile, in order to identify the uncertain parameters of the network with stochastic perturbations accurately, some corresponding sufficient conditions are given. Finally, numerical simulations under two working conditions are given to demonstrate the effectiveness and feasibility of the main theory result.
url http://dx.doi.org/10.1155/2020/9713652
work_keys_str_mv AT qianxie finitetimeprojectivelagsynchronizationandidentificationbetweenmultipleweightsmarkovianjumpingcomplexnetworkswithstochasticperturbations
AT changhuimu finitetimeprojectivelagsynchronizationandidentificationbetweenmultipleweightsmarkovianjumpingcomplexnetworkswithstochasticperturbations
AT tongwang finitetimeprojectivelagsynchronizationandidentificationbetweenmultipleweightsmarkovianjumpingcomplexnetworkswithstochasticperturbations
AT gangwu finitetimeprojectivelagsynchronizationandidentificationbetweenmultipleweightsmarkovianjumpingcomplexnetworkswithstochasticperturbations
AT rongjia finitetimeprojectivelagsynchronizationandidentificationbetweenmultipleweightsmarkovianjumpingcomplexnetworkswithstochasticperturbations
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