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Effects of Time-Varying Impulses on the Synchronization of Delayed Dynamical Networks

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  • Shuiming Cai
  • Peipei Zhou
  • Zengrong Liu

Abstract

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.

Suggested Citation

  • Shuiming Cai & Peipei Zhou & Zengrong Liu, 2013. "Effects of Time-Varying Impulses on the Synchronization of Delayed Dynamical Networks," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, December.
    • Handle: RePEc:hin:jnlaaa:212753
    DOI: 10.1155/2013/212753
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