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Adaptive synchronization of uncertain time-delayed and multi-link network with arbitrary topology

Author

Listed:
  • Lü, Ling
  • Li, Chengren
  • Li, Gang
  • Bai, Suyuan
  • Gao, Yan
  • Yan, Zhe
  • Rong, Tingting

Abstract

We concentrate on the synchronization problem of the uncertain time-delayed network with multi-link. In this work, we design a novel technology to obtain the network synchronization condition so that we do not need to solve the Jacobi matrices of the state equations at the network nodes. Moreover, the uncertain parameters in state equations at the network nodes can also be identified simultaneously in the process of synchronization. Finally, a numerical example is given to demonstrate the effectiveness of the proposed approach. Our results are suitable for the multi-link network with arbitrary topology. And the dynamical network with single-link can be considered as a special case of dynamical network with multi-link.

Suggested Citation

  • Lü, Ling & Li, Chengren & Li, Gang & Bai, Suyuan & Gao, Yan & Yan, Zhe & Rong, Tingting, 2018. "Adaptive synchronization of uncertain time-delayed and multi-link network with arbitrary topology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 355-365.
    • Handle: RePEc:eee:phsmap:v:503:y:2018:i:c:p:355-365
    DOI: 10.1016/j.physa.2018.03.001
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    References listed on IDEAS

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    1. Zhou, Guangye & Li, Chengren & Li, Tingting & Yang, Yi & Wang, Chen & He, Fangjun & Sun, Jingchang, 2016. "Outer synchronization investigation between WS and NW small-world networks with different node numbers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 506-513.
    2. Li, Wenlin & Li, Chong & Song, Heshan, 2016. "Synchronization between uncertain nonidentical networks with quantum chaotic behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 270-277.
    3. Watanabe, Takamitsu, 2013. "Rich-club network topology to minimize synchronization cost due to phase difference among frequency-synchronized oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(5), pages 1246-1255.
    4. Lu, Jianquan & Cao, Jinde, 2007. "Synchronization-based approach for parameters identification in delayed chaotic neural networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(2), pages 672-682.
    5. Ghada Al-Mahbashi & Mohd Salmi Md Noorani & Sakhinah Abu Bakar, 2014. "Projective lag synchronization in drive-response dynamical networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(11), pages 1-11.
    6. Sakthivel, R. & Anbuvithya, R. & Mathiyalagan, K. & Ma, Yong-Ki & Prakash, P., 2016. "Reliable anti-synchronization conditions for BAM memristive neural networks with different memductance functions," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 213-228.
    7. Sivaranjani, K. & Rakkiyappan, R. & Cao, Jinde & Alsaedi, Ahmed, 2017. "Synchronization of nonlinear singularly perturbed complex networks with uncertain inner coupling via event triggered control," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 283-299.
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    Cited by:

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