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Consensus of signed networked multi-agent systems with nonlinear coupling and communication delays

Author

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  • Lu, Jianquan
  • Guo, Xing
  • Huang, Tingwen
  • Wang, Zhen

Abstract

This paper investigates the consensus problem in networks of agents with antagonistic interactions and communication delays. For undirected signed networks, we respectively establish two dynamic models corresponding to linear and nonlinear coupling. Based on Lyapunov stability theory and some other mathematical analysis, it is proved that all agents on signed networks can reach agreement on a consensus value except for the sign. Further, a bipartite consensus solution is given for linear coupling networks, and an explicit expression associating with bipartite consensus solution is provided for nonlinear coupling networks. Finally, numerical simulations are given to demonstrate the effectiveness of our theoretical results.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:350:y:2019:i:c:p:153-162
    DOI: 10.1016/j.amc.2019.01.006
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    References listed on IDEAS

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    8. Kaviarasan, Boomipalagan & Kwon, Oh-Min & Park, Myeong Jin & Sakthivel, Rathinasamy, 2021. "Stochastic faulty estimator-based non-fragile tracking controller for multi-agent systems with communication delay," Applied Mathematics and Computation, Elsevier, vol. 392(C).
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