Open Access
2013 Effects of Time-Varying Impulses on the Synchronization of Delayed Dynamical Networks
Shuiming Cai, Peipei Zhou, Zengrong Liu
Abstr. Appl. Anal. 2013: 1-10 (2013). DOI: 10.1155/2013/212753


The effects of time-varying impulses on the synchronization of a class of general complex delayed dynamical networks are investigated. Different from the existing works, the impulses discussed here are time-varying, and both synchronizing and desynchronizing impulses are considered in the network model simultaneously. Moreover, the network topology is assumed to be directed and weakly connected with a spanning tree. By using the comparison principle, some simple yet generic globally exponential synchronization criteria are derived. It is shown that besides impulse strengths and impulsive interval, the obtained criteria are also closely related with topology structure of the network. Finally, numerical examples are given to demonstrate the effectiveness of the theoretical results.


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Shuiming Cai. Peipei Zhou. Zengrong Liu. "Effects of Time-Varying Impulses on the Synchronization of Delayed Dynamical Networks." Abstr. Appl. Anal. 2013 1 - 10, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1296.34159
MathSciNet: MR3147838
Digital Object Identifier: 10.1155/2013/212753

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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