A unified synchronization criterion for impulsive dynamical networks

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 se...

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Bibliographic Details
Published in:Automatica (Oxford) 2010-07, Vol.46 (7), p.1215-1221
Main Authors: Lu, Jianquan, Ho, Daniel W.C., Cao, Jinde
Format: Article
Language:English
Subjects:
Applied sciences
Automation
Average impulsive interval
Computer science
control theory
systems
Control theory. Systems
Criteria
Desynchronizing impulses
Exact sciences and technology
Impulses
Impulsive dynamical networks
Intervals
Mathematical models
Networks
Synchronism
Synchronization
Synchronizing impulses
Unified synchronization criterion
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Summary: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.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2010.04.005