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Bipartite tracking consensus of nonlinear multi-agent systems

Author

Listed:
  • Zhang, Xuxi
  • Liu, Xianping
  • Lewis, Frank L.
  • Wang, Xia

Abstract

This paper is devoted to the bipartite tracking consensus of a class of nonlinear multi-agent systems under directed signed graph. For dealing with the nonlinear terms in the bipartite tracking consensus problem of multi-agent systems, a new generalized Lipschitz-type condition is introduced. Then, both state feedback and output feedback control protocols are proposed. By using algebraic Riccati equation design and linear matrix inequality technique, some sufficient conditions are presented to guarantee that the nonlinear multi-agent systems can achieve bipartite tracking consensus. Finally, some simulation examples are provided to illustrate the efficiency of the proposed control strategy.

Suggested Citation

  • Zhang, Xuxi & Liu, Xianping & Lewis, Frank L. & Wang, Xia, 2020. "Bipartite tracking consensus of nonlinear multi-agent systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    • Handle: RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119319557
    DOI: 10.1016/j.physa.2019.123504
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    References listed on IDEAS

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    7. 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.
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    Cited by:

    1. Li, Weixun & Du, Xiangyang & Xiao, Jingyu & Zhang, Limin, 2023. "Bipartite hybrid formation tracking control for heterogeneous multi-agent systems in multi-group cooperative-competitive networks," Applied Mathematics and Computation, Elsevier, vol. 456(C).
    2. Shi, Lin & Gou, Kuixiang & Xie, Dongmei, 2021. "Convergence analysis of first-order discrete multi-agent systems with cooperative-competitive mechanisms," Applied Mathematics and Computation, Elsevier, vol. 410(C).

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