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Zbl 1194.93090
Lu, Jianquan; Ho, Daniel W.C.; Cao, Jinde
A unified synchronization criterion for impulsive dynamical networks. (English)
[J] Automatica 46, No. 7, 1215-1221 (2010). ISSN 0005-1098

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.

MSC 2000:: *93C15 Control systems governed by ODE

Keywords: impulsive dynamical networks; unified synchronization criterion; average impulsive interval; synchronizing impulses; desynchronizing impulses

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