Journal
AUTOMATICA
Volume 46, Issue 7, Pages 1215-1221Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2010.04.005
Keywords
Impulsive dynamical networks; Unified synchronization criterion; Average impulsive interval; Synchronizing impulses; Desynchronizing impulses
Funding
- National Natural Science Foundation of China [60874088]
- Specialized Research Fund for the Doctoral Program of Higher Education [20070286003]
- Natural Science Foundation of Jiangsu Province of China [BK2009271]
- [CityU 101109]
- [9041432]
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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. (C) 2010 Elsevier Ltd. All rights reserved.
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