Lu, Jianquan; Ho, Daniel W. C.; Cao, Jinde A unified synchronization criterion for impulsive dynamical networks. (English) Zbl 1194.93090 Automatica 46, No. 7, 1215-1221 (2010). 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. Cited in 354 Documents MSC: 93C15 Control/observation systems governed by ordinary differential equations Keywords:impulsive dynamical networks; unified synchronization criterion; average impulsive interval; synchronizing impulses; desynchronizing impulses × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Arenas, A.; Díaz-Guilera, A.; Kurths, J.; Moreno, Y.; Zhou, C. S., Synchronization in complex networks, Physics Reports, 469, 3, 93-153 (2008) [2] Bainov, D.; Simeonov, P. S., Systems with impulsive effect: stability theory and applications (1989), Ellis Horwood Limited: Ellis Horwood Limited Chichester, UK · Zbl 0676.34035 [3] Barabási, A.; Albert, R., Emergence of scaling in random networks, Science, 286, 5439, 509-512 (1999) · Zbl 1226.05223 [4] Cai, S.; Zhou, J.; Xiang, L.; Liu, Z. 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