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Bipartite formation problem of second-order nonlinear multi-agent systems with hybrid impulses

Author

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  • Wang, Wei
  • Huang, Chi
  • Huang, Chuangxia
  • Cao, Jinde
  • Lu, Jianquan
  • Wang, Li

Abstract

In this paper, bipartite formation of second-order nonlinear multi-agent systems (MASs) with hybrid impulses is investigated. At first, state-feedback controllers and impulsive protocols are designed for second-order MASs based on the definition of bipartite formation. Secondly, with the aid of average impulsive interval and average impulsive gain, the design criterion of bipartite formation control protocol is derived such that second-order nonlinear MASs with hybrid impulses can realize bipartite formation. Furthermore, adaptive control is also addressed for second-order MASs with unknown nonlinear terms and the corresponding result is derived. Finally, the validity of the theoretical results is illustrated by two numerical simulations.

Suggested Citation

  • Wang, Wei & Huang, Chi & Huang, Chuangxia & Cao, Jinde & Lu, Jianquan & Wang, Li, 2020. "Bipartite formation problem of second-order nonlinear multi-agent systems with hybrid impulses," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    • Handle: RePEc:eee:apmaco:v:370:y:2020:i:c:s009630031930918x
    DOI: 10.1016/j.amc.2019.124926
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    References listed on IDEAS

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    1. Xinsong Yang & Chuangxia Huang & Zhichun Yang, 2012. "Stochastic Synchronization of Reaction-Diffusion Neural Networks under General Impulsive Controller with Mixed Delays," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-25, December.
    2. Lu, Jianquan & Guo, Xing & Huang, Tingwen & Wang, Zhen, 2019. "Consensus of signed networked multi-agent systems with nonlinear coupling and communication delays," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 153-162.
    3. Guo, Xing & Lu, Jianquan & Alsaedi, Ahmed & Alsaadi, Fuad E., 2018. "Bipartite consensus for multi-agent systems with antagonistic interactions and communication delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 488-497.
    4. Wu, Jie & Deng, Qun & Han, Tao & Yang, Qing-Sheng & Zhan, Heng, 2019. "Bipartite tracking consensus for multi-agent systems with Lipschitz-Type nonlinear dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1360-1369.
    5. Wang, Jinhuan & Xu, Yuling & Xu, Yong & Yang, Dedong, 2019. "Time-varying formation for high-order multi-agent systems with external disturbances by event-triggered integral sliding mode control," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 333-343.
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    Cited by:

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    3. Mao, Kun & Liu, Xiaoyang & Cao, Jinde & Hu, Yuanfa, 2022. "Finite-time bipartite synchronization of coupled neural networks with uncertain parameters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).

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