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Synchronization of discrete dynamical networks with non-delayed and delayed coupling

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  • Wu, Zhaoyan

Abstract

In this paper, synchronization of discrete dynamical networks with both non-delayed and delayed couplings are studied. Firstly, a class of complex networks with invariable topology structure are considered. Secondly, a class of complex networks with variable topology structure are discussed. Based on Lyapunov function method and linear matrix inequalities, the sufficient conditions for asymptotically local synchronization of the above two classes of networks are presented respectively. Finally, numerical examples are provided to verify our results.

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  • 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.
    • Handle: RePEc:eee:apmaco:v:260:y:2015:i:c:p:57-62
    DOI: 10.1016/j.amc.2015.03.044
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    References listed on IDEAS

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    Cited by:

    1. Jindao Zha & Chunbiao Li & Bing Song & Wen Hu, 2016. "Synchronisation control of composite chaotic systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(16), pages 3952-3959, December.
    2. Liu, Lizhi & Wang, Yinhe & Gao, Zilin, 2020. "Tracking control for the dynamic links of discrete-time complex dynamical network via state observer," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    3. 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.
    4. Cheng, Ranran & Peng, Mingshu & Zuo, Jun, 2016. "Pinning synchronization of discrete dynamical networks with delay coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 444-453.
    5. Cheng, Ranran & Peng, Mingshu & Yu, Jinchen & Li, Haifen, 2019. "Synchronization for discrete-time complex networks with probabilistic time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1088-1101.
    6. Feng, Jianwen & Yang, Pan & Zhao, Yi, 2016. "Cluster synchronization for nonlinearly time-varying delayed coupling complex networks with stochastic perturbation via periodically intermittent pinning control," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 52-68.

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