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Synchronization of complex dynamical networks by the incremental ISS approach

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  • Cai, Chaohong
  • Chen, Guanrong

Abstract

We apply the theory of incremental input-to-state stability to the problem of synchronization in a complex dynamical network of identical nodes, using chaotic nodes as a typical platform. The proposed technique can achieve chaos synchronization using only partial state/output information in the sense that it does not require all nodes to have access to the state/output information from the seed node that produces the reference orbit for network synchronization. Examples and simulations demonstrate the applicability and effectiveness of the new synchronization method.

Suggested Citation

  • Cai, Chaohong & Chen, Guanrong, 2006. "Synchronization of complex dynamical networks by the incremental ISS approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 754-766.
    • Handle: RePEc:eee:phsmap:v:371:y:2006:i:2:p:754-766
    DOI: 10.1016/j.physa.2006.03.052
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    References listed on IDEAS

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    1. Lü, Jinhu & Yu, Xinghuo & Chen, Guanrong, 2004. "Chaos synchronization of general complex dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 334(1), pages 281-302.
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    Cited by:

    1. Ren, Yuanhong & Wang, Weiqun & Wang, Yixiang, 2018. "Incremental H∞ control for switched nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 251-263.

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