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Synchronization for complex dynamical networks with time delay and discrete-time information

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  • Fang, Mei

Abstract

The synchronization problem is studied for complex dynamical networks (CDNs) with time delay based on discrete-time communication pattern. A new Lyapunov functional is proposed, which is positive definite at communication instants but not necessarily positive definite inside the communication intervals, and can make full use of the available information about the discrete-time communication pattern. Based on the Lyapunov functional, an exponential synchronization criterion is proposed to ensure the synchronization of the considered CDNs. The effectiveness of the developed results are shown by the numerical simulation.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:258:y:2015:i:c:p:1-11
    DOI: 10.1016/j.amc.2015.01.106
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    References listed on IDEAS

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    1. Chai, Yi & Chen, Liping & Wu, Ranchao & Sun, Jian, 2012. "Adaptive pinning synchronization in fractional-order complex dynamical networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5746-5758.
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    Cited by:

    1. Dawei Gong & Frank L. Lewis & Liping Wang & Dong Dai & Shuang Zhang, 2017. "Pinning Synchronization for Complex Networks with Interval Coupling Delay by Variable Subintervals Method and Finsler’s Lemma," Complexity, Hindawi, vol. 2017, pages 1-9, June.
    2. Lü, Ling & Chen, Liansong & Bai, Suyuan & Li, Gang, 2016. "A new synchronization tracking technique for uncertain discrete network with spatiotemporal chaos behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 460(C), pages 314-325.
    3. Li, Tao & Tang, Xiaoling & Qian, Wei & Fei, Shumin, 2019. "Hybrid-delay-dependent approach to synchronization in distributed delay neutral neural networks," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 449-463.
    4. Rakkiyappan, R. & Velmurugan, G. & Nicholas George, J. & Selvamani, R., 2017. "Exponential synchronization of Lur’e complex dynamical networks with uncertain inner coupling and pinning impulsive control," Applied Mathematics and Computation, Elsevier, vol. 307(C), pages 217-231.
    5. Yi-Ping Luo & Li Shu & Bi-Feng Zhou, 2017. "Global Exponential Synchronization of Nonlinearly Coupled Complex Dynamical Networks with Time-Varying Coupling Delays," Complexity, Hindawi, vol. 2017, pages 1-10, August.
    6. 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.

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