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Synchronization of complex dynamical networks with hybrid coupling delays on time scales by handling multitude Kronecker product terms

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  • Syed Ali, M.
  • Yogambigai, J.

Abstract

The problem of synchronization is studied for complex dynamical networks with hybrid coupling delays on time scales. The hybrid coupling delays consist of both discrete and distributed coupling delays. Some novel and useful synchronization criteria of complex dynamical networks are derived based on stability theory of error dynamical system. By employing the standard Lyapunov–Krasovskii functional, matrix expansion method to handle multitude Kronecker product terms and the modified Jensen’s inequalities on time scale, new sufficient conditions guaranteeing the global exponential stability of the origin of complex dynamical networks are established interms of linear matrix inequality (LMI). Numerical examples are included to demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Syed Ali, M. & Yogambigai, J., 2016. "Synchronization of complex dynamical networks with hybrid coupling delays on time scales by handling multitude Kronecker product terms," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 244-258.
    • Handle: RePEc:eee:apmaco:v:291:y:2016:i:c:p:244-258
    DOI: 10.1016/j.amc.2016.06.046
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    References listed on IDEAS

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    1. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
    2. Yuan, Wu-Jie & Luo, Xiao-Shu & Jiang, Pin-Qun & Wang, Bing-Hong & Fang, Jin-Qing, 2007. "Stability of a complex dynamical network model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(1), pages 478-482.
    3. Wu, Zhaoyan, 2015. "Synchronization of discrete dynamical networks with non-delayed and delayed coupling," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 57-62.
    4. Fang, Mei, 2015. "Synchronization for complex dynamical networks with time delay and discrete-time information," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 1-11.
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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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