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Exponential synchronization of complex delayed dynamical networks with general topology

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  • Liu, Tao
  • Dimirovski, Georgi M.
  • Zhao, Jun

Abstract

The global exponential synchronization of complex delayed dynamical networks possessing general topology is investigated in this contribution. The network model considered can represent both the directed and undirected weighted networks. Novel delay-dependent linear controllers are designed via Lyapunov stability theory and appropriate property of the coupling matrix. It is shown that the controlled networks are globally exponentially synchronized with a given convergence rate. An example of typical dynamical network with coupling delays of this class, having the unified chaotic system at each node, have been used to demonstrate and verify the novel design proposed. The network possesses weighted and directed coupling topology, and the computer simulation showed the effectiveness of the proposed control design.

Suggested Citation

  • Liu, Tao & Dimirovski, Georgi M. & Zhao, Jun, 2008. "Exponential synchronization of complex delayed dynamical networks with general topology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(2), pages 643-652.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:2:p:643-652
    DOI: 10.1016/j.physa.2007.09.019
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    References listed on IDEAS

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    Cited by:

    1. Wenhua Xia & Yiping Luo & Bifeng Zhou & Guanghui Liu, 2017. "Exponential Synchronization of a Class of -Coupled Complex Partial Differential Systems with Time-Varying Delay," Complexity, Hindawi, vol. 2017, pages 1-9, October.
    2. Yadav, Vijay K. & Shukla, Vijay K. & Das, Subir, 2021. "Exponential synchronization of fractional-order complex chaotic systems and its application," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    3. Ye, Dan & Yang, Xiang & Su, Lei, 2017. "Fault-tolerant synchronization control for complex dynamical networks with semi-Markov jump topology," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 36-48.
    4. Xu, Ruiping & Kao, Yonggui & Gao, Cunchen, 2015. "Exponential synchronization of delayed Markovian jump complex networks with generally uncertain transition rates," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 682-693.
    5. Du, Hongyue, 2011. "Function projective synchronization in drive–response dynamical networks with non-identical nodes," Chaos, Solitons & Fractals, Elsevier, vol. 44(7), pages 510-514.
    6. 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.

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