Synchronization between Two Discrete-Time Networks with Mutual Couplings

Synchronization between Two Discrete-Time Networks with Mutual Couplings

We investigate synchronization between two discrete-time networks with mutual couplings, including inner synchronization inside each network and outer synchronization between two networks. We then obtain a synchronized criterion for the inner synchronization inside each network by the method of lin...

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Main Authors: Meng Xiao, Weigang Sun, Fangyue Chen
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/167198
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spelling doaj-6f122b214d8345419de2b6ddc37ff17b2020-11-25T00:53:38ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/167198167198Synchronization between Two Discrete-Time Networks with Mutual CouplingsMeng Xiao0Weigang Sun1Fangyue Chen2Institute of Applied Mathematics and Engineering Computations, Hangzhou Dianzi University, Hangzhou 310018, ChinaInstitute of Applied Mathematics and Engineering Computations, Hangzhou Dianzi University, Hangzhou 310018, ChinaInstitute of Applied Mathematics and Engineering Computations, Hangzhou Dianzi University, Hangzhou 310018, ChinaWe investigate synchronization between two discrete-time networks with mutual couplings, including inner synchronization inside each network and outer synchronization between two networks. We then obtain a synchronized criterion for the inner synchronization inside each network by the method of linear matrix inequality and derive a relationship between the inner and outer synchronization. Finally, we show numerical examples to verify our theoretical analysis and discuss the effect of coupling strengths, node dynamics, and topological structures on the inner and outer synchronization. Compared to the inner synchronization inside each network, the outer synchronization between two networks is difficult to achieve.http://dx.doi.org/10.1155/2013/167198
collection DOAJ
language English
format Article
sources DOAJ
author Meng Xiao
Weigang Sun
Fangyue Chen
spellingShingle Meng Xiao
Weigang Sun
Fangyue Chen
Synchronization between Two Discrete-Time Networks with Mutual Couplings
Abstract and Applied Analysis
author_facet Meng Xiao
Weigang Sun
Fangyue Chen
author_sort Meng Xiao
title Synchronization between Two Discrete-Time Networks with Mutual Couplings
title_short Synchronization between Two Discrete-Time Networks with Mutual Couplings
title_full Synchronization between Two Discrete-Time Networks with Mutual Couplings
title_fullStr Synchronization between Two Discrete-Time Networks with Mutual Couplings
title_full_unstemmed Synchronization between Two Discrete-Time Networks with Mutual Couplings
title_sort synchronization between two discrete-time networks with mutual couplings
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description We investigate synchronization between two discrete-time networks with mutual couplings, including inner synchronization inside each network and outer synchronization between two networks. We then obtain a synchronized criterion for the inner synchronization inside each network by the method of linear matrix inequality and derive a relationship between the inner and outer synchronization. Finally, we show numerical examples to verify our theoretical analysis and discuss the effect of coupling strengths, node dynamics, and topological structures on the inner and outer synchronization. Compared to the inner synchronization inside each network, the outer synchronization between two networks is difficult to achieve.
url http://dx.doi.org/10.1155/2013/167198
work_keys_str_mv AT mengxiao synchronizationbetweentwodiscretetimenetworkswithmutualcouplings
AT weigangsun synchronizationbetweentwodiscretetimenetworkswithmutualcouplings
AT fangyuechen synchronizationbetweentwodiscretetimenetworkswithmutualcouplings
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