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Global Synchronization of Complex Networks with Discrete Time Delays on Time Scales

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  • Quanxin Cheng
  • Jinde Cao

Abstract

This paper studies the global synchronization problem for a class of complex networks with discrete time delays. By using the theory of calculus on time scales, the properties of Kronecker product, and Lyapunov method, some sufficient conditions are obtained to ensure the global synchronization of the complex networks with delays on time scales. These sufficient conditions are formulated in terms of linear matrix inequalities (LMIs). The main contribution of the result is that the global synchronization problems with both discrete time and continuous time are unified under the same framework.

Suggested Citation

  • Quanxin Cheng & Jinde Cao, 2011. "Global Synchronization of Complex Networks with Discrete Time Delays on Time Scales," Discrete Dynamics in Nature and Society, Hindawi, vol. 2011, pages 1-19, July.
    • Handle: RePEc:hin:jnddns:287670
    DOI: 10.1155/2011/287670
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    Cited by:

    1. Yong Pei & Churong Chen & Dechang Pi, 2022. "Topology Identification of Time-Scales Complex Networks," Mathematics, MDPI, vol. 10(10), pages 1-14, May.

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