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Synchronization in dynamic networks with nonsymmetrical time-delay coupling based on linear feedback controllers

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  • Wu, Jianshe
  • Jiao, Licheng

Abstract

Based on a general complex dynamic network model with nonsymmetrical time-delay coupling, and without assuming irreducibility, a strategy for global exponential synchronization is proposed based on the approach of linear state feedback controllers. Especially, the criteria for controller design can be expressed by inequalities instead of matrix inequalities; thus the proposed controllers can be easily constructed without relying on any numerical toolbox. The efficiency of the control scheme is revealed by simulations on a network consisting of the unified chaotic systems with nearest-neighbour unidirectional time-delay coupling.

Suggested Citation

  • Wu, Jianshe & Jiao, Licheng, 2008. "Synchronization in dynamic networks with nonsymmetrical time-delay coupling based on linear feedback controllers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 2111-2119.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:8:p:2111-2119
    DOI: 10.1016/j.physa.2007.09.011
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    References listed on IDEAS

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    1. Wu, Jianshe & Jiao, Licheng, 2007. "Observer-based synchronization in complex dynamical networks with nonsymmetric coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 469-480.
    2. Li, Chunguang & Chen, Guanrong, 2004. "Synchronization in general complex dynamical networks with coupling delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 263-278.
    3. 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.
    4. Fan, Jin & Wang, Xiao Fan, 2005. "On synchronization in scale-free dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(3), pages 443-451.
    5. Wu, Jianshe & Jiao, Licheng, 2007. "Synchronization in complex delayed dynamical networks with nonsymmetric coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 513-530.
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    Cited by:

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    2. Lin, Hai & Wang, Jingcheng, 2022. "Pinning synchronization of complex networks with time-varying outer coupling and nonlinear multiple time-varying delay coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).

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