New Pinning Synchronization of Complex Networks with Time-Varying Coupling Strength and Nondelayed and Delayed Coupling

The pinning synchronization problem for a class of complex networks is studied by a stochastic viewpoint, in which both time-varying coupling strength and nondelayed and delayed coupling are included. Different from the traditionally similar methods, its interval is separated into two subintervals a...

Full description

Saved in:
Bibliographic Details
Main Authors: Guoliang Wang, Zhongbao Yue, Feng Wang
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2015/989201
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850166758459047936
author Guoliang Wang
Zhongbao Yue
Feng Wang
author_facet Guoliang Wang
Zhongbao Yue
Feng Wang
author_sort Guoliang Wang
collection DOAJ
description The pinning synchronization problem for a class of complex networks is studied by a stochastic viewpoint, in which both time-varying coupling strength and nondelayed and delayed coupling are included. Different from the traditionally similar methods, its interval is separated into two subintervals and described by a Bernoulli variable. Both bounds and switching probability of such subintervals are contained. Particularly, the nondelayed and delayed couplings occur alternately in which another independent Bernoulli variable is introduced. Then, a new kind of pinning controller without time-varying coupling strength signal is developed, in which only its bounds and probabilities are contained. When such probabilities are unavailable, two different kinds of adaption laws are established to make the complex network globally synchronous. Finally, the validity of the presented methods is proved through a numerical example.
format Article
id doaj-art-e38e548fcfab42a6b3adc4e61e1e69f0
institution OA Journals
issn 1085-3375
1687-0409
language English
publishDate 2015-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-e38e548fcfab42a6b3adc4e61e1e69f02025-08-20T02:21:21ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/989201989201New Pinning Synchronization of Complex Networks with Time-Varying Coupling Strength and Nondelayed and Delayed CouplingGuoliang Wang0Zhongbao Yue1Feng Wang2School of Information and Control Engineering, Liaoning Shihua University, Fushun, Liaoning 113001, ChinaSchool of Information and Control Engineering, Liaoning Shihua University, Fushun, Liaoning 113001, ChinaSchool of Information and Control Engineering, Liaoning Shihua University, Fushun, Liaoning 113001, ChinaThe pinning synchronization problem for a class of complex networks is studied by a stochastic viewpoint, in which both time-varying coupling strength and nondelayed and delayed coupling are included. Different from the traditionally similar methods, its interval is separated into two subintervals and described by a Bernoulli variable. Both bounds and switching probability of such subintervals are contained. Particularly, the nondelayed and delayed couplings occur alternately in which another independent Bernoulli variable is introduced. Then, a new kind of pinning controller without time-varying coupling strength signal is developed, in which only its bounds and probabilities are contained. When such probabilities are unavailable, two different kinds of adaption laws are established to make the complex network globally synchronous. Finally, the validity of the presented methods is proved through a numerical example.http://dx.doi.org/10.1155/2015/989201
spellingShingle Guoliang Wang
Zhongbao Yue
Feng Wang
New Pinning Synchronization of Complex Networks with Time-Varying Coupling Strength and Nondelayed and Delayed Coupling
Abstract and Applied Analysis
title New Pinning Synchronization of Complex Networks with Time-Varying Coupling Strength and Nondelayed and Delayed Coupling
title_full New Pinning Synchronization of Complex Networks with Time-Varying Coupling Strength and Nondelayed and Delayed Coupling
title_fullStr New Pinning Synchronization of Complex Networks with Time-Varying Coupling Strength and Nondelayed and Delayed Coupling
title_full_unstemmed New Pinning Synchronization of Complex Networks with Time-Varying Coupling Strength and Nondelayed and Delayed Coupling
title_short New Pinning Synchronization of Complex Networks with Time-Varying Coupling Strength and Nondelayed and Delayed Coupling
title_sort new pinning synchronization of complex networks with time varying coupling strength and nondelayed and delayed coupling
url http://dx.doi.org/10.1155/2015/989201
work_keys_str_mv AT guoliangwang newpinningsynchronizationofcomplexnetworkswithtimevaryingcouplingstrengthandnondelayedanddelayedcoupling
AT zhongbaoyue newpinningsynchronizationofcomplexnetworkswithtimevaryingcouplingstrengthandnondelayedanddelayedcoupling
AT fengwang newpinningsynchronizationofcomplexnetworkswithtimevaryingcouplingstrengthandnondelayedanddelayedcoupling