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Partial component consensus of leader-following multi-agent systems via intermittent pinning control

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  • Zhang, Zhicheng
  • Ma, Zhongjun
  • Wang, Yi

Abstract

Partial component consensus means that some components of all state variables in a multi-agent system tend to be convergence as time tends to be infinite. It is a dynamics behavior that is weaker than identical consensus. In this paper, partial component consensus of nonlinear multi-agent systems via intermittent pinning control is investigated for the first time, and the intermittent signal can be aperiodic. With the help of permutation matrix method, the corresponding error system is reduced to a new error system. Then, partial component consensus in the multi-agent system is converted into the stability of the new error system with respect to partial variables. Based on matrix theory, graph theory and stability theory of partial variables, some sufficient conditions to guarantee exponential partial component consensus are derived. Finally, numerical simulations are shown to demonstrate correctness of the theoretical results.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:536:y:2019:i:c:s0378437119314712
    DOI: 10.1016/j.physa.2019.122569
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    References listed on IDEAS

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    1. 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.
    2. He, Xiaoyan & Hao, Yuqing & Wang, Qingyun, 2019. "Leaderless finite-time consensus for second-order Lipschitz nonlinear multi-agent systems with settling time estimation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 280-289.
    3. Li, Fengbing & Ma, Zhongjun & Duan, Qichang, 2019. "Partial component synchronization on chaotic networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 707-714.
    4. Wu, Zhaoyan & Fu, Xinchu, 2012. "Cluster projective synchronization between community networks with nonidentical nodes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 6190-6198.
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    Cited by:

    1. Hu, Wenjun & Zhang, Wen & Ma, Zhongjun & Li, Kezan, 2022. "Partial component consensus analysis of second-order and third-order nonlinear multi-agent systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    2. Wang, Boyu & Zhang, Yijun & Wei, Miao, 2023. "Fixed-time leader-following consensus of multi-agent systems with intermittent control," Applied Mathematics and Computation, Elsevier, vol. 438(C).

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