A unified synchronization criterion for impulsive dynamical networks

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)1215-1221
Journal / PublicationAutomatica
Volume46
Issue number7
Publication statusPublished - Jul 2010

Abstract

This paper focuses on the problem of globally exponential synchronization of impulsive dynamical networks. Two types of impulses are considered: synchronizing impulses and desynchronizing impulses. In previous literature, all of the results are devoted to investigating these two kinds of impulses separately. Thus a natural question arises: Is there any unified synchronization criterion which is simultaneously effective for synchronizing impulses and desynchronizing impulses? In this paper, a unified synchronization criterion is derived for directed impulsive dynamical networks by proposing a concept named "average impulsive interval". The derived criterion is theoretically and numerically proved to be less conservative than existing results. Numerical examples including scale-free and small-world structures are given to show that our results are applicable to large-scale networks. © 2010 Elsevier Ltd. All rights reserved.

Research Area(s)

  • Average impulsive interval, Desynchronizing impulses, Impulsive dynamical networks, Synchronizing impulses, Unified synchronization criterion

Citation Format(s)

A unified synchronization criterion for impulsive dynamical networks. / Lu, Jianquan; Ho, Daniel W. C.; Cao, Jinde.

In: Automatica, Vol. 46, No. 7, 07.2010, p. 1215-1221.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review