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Semiglobal Finite-Time Synchronization of Complex Dynamical Networks via Periodically Intermittent Control

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  • Yihan Fan
  • Hongmei Liu
  • Jun Mei

Abstract

This paper studies the finite-time synchronization problem for a class of complex dynamical networks by means of periodically intermittent control. Based on some analysis techniques and finite-time stability theory, some novel and effective finite-time synchronization criteria are given in terms of a set of linear matrix inequalities. Particularly, the previous synchronization problem by using periodically intermittent control has been extended in this paper. Finally, numerical simulations are presented to verify the theoretical results.

Suggested Citation

  • Yihan Fan & Hongmei Liu & Jun Mei, 2015. "Semiglobal Finite-Time Synchronization of Complex Dynamical Networks via Periodically Intermittent Control," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-12, May.
    • Handle: RePEc:hin:jnlaaa:381078
    DOI: 10.1155/2015/381078
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    Cited by:

    1. Leng, Hui & Wu, Zhaoyan, 2019. "Impulsive synchronization of complex-variable network with distributed time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    2. Liu, Lingfeng & Miao, Suoxia, 2018. "Outer synchronization between delayed coupling networks with different dynamics and uncertain parameters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 890-901.
    3. Zhang, Zhicheng & Ma, Zhongjun & Wang, Yi, 2019. "Partial component consensus of leader-following multi-agent systems via intermittent pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    4. Ding, Dawei & Yan, Jie & Wang, Nian & Liang, Dong, 2017. "Pinning synchronization of fractional order complex-variable dynamical networks with time-varying coupling," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 41-50.
    5. Ma, Mihua & Cai, Jianping & Zhang, Hua, 2019. "Quasi-synchronization of Lagrangian networks with parameter mismatches and communication delays via aperiodically intermittent pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1146-1160.
    6. Liu, Yifan & Su, Housheng, 2019. "Containment control of second-order multi-agent systems via intermittent sampled position data communication," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    7. Hu, Cheng & Yu, Juan, 2016. "Generalized intermittent control and its adaptive strategy on stabilization and synchronization of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 262-269.
    8. Liu, Bin & Yang, Meng & Xu, Bo & Zhang, Guohua, 2021. "Exponential stabilization of continuous-time dynamical systems via time and event triggered aperiodic intermittent control," Applied Mathematics and Computation, Elsevier, vol. 398(C).
    9. Wang, Mengchen & Lu, Xiaowen & Yang, Qi & Ma, Zhongjun & Cheng, Jun & Li, Kezan, 2022. "Pinning control of successive lag synchronization on a dynamical network with noise perturbation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).

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