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Weighted Couple-Group Consensus Analysis of Heterogeneous Multiagent Systems with Cooperative-Competitive Interactions and Time Delays

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  • Xingcheng Pu
  • Chaowen Xiong
  • Lianghao Ji
  • Longlong Zhao

Abstract

In this paper, the weighted couple-group consensus of continuous-time heterogeneous multiagent systems with input and communication time delay is investigated. A novel weighted couple-group consensus protocol based on cooperation and competition interaction is designed, which can relax the in-degree balance condition. By using graph theory, general Nyquist criterion and Gerschgorin disc theorem, the time delay upper limit that the system may allow is obtained. The conclusions indicate that there is no relationship between weighted couple-group consensus and communication time delay. When the agents input time delay, the coupling weight between the agents, and the systems control parameters are satisfied, the multiagent system can converge to any given weighted coupling group consistent state. The experimental simulation results verify the correctness of the conclusion.

Suggested Citation

  • Xingcheng Pu & Chaowen Xiong & Lianghao Ji & Longlong Zhao, 2019. "Weighted Couple-Group Consensus Analysis of Heterogeneous Multiagent Systems with Cooperative-Competitive Interactions and Time Delays," Complexity, Hindawi, vol. 2019, pages 1-13, March.
    • Handle: RePEc:hin:complx:8012890
    DOI: 10.1155/2019/8012890
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    References listed on IDEAS

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    1. Shi, Chong-Xiao & Yang, Guang-Hong, 2018. "Robust consensus control for a class of multi-agent systems via distributed PID algorithm and weighted edge dynamics," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 73-88.
    2. Mohammad Hadi Rezaei & Mohammad Bagher Menhaj, 2018. "Stationary average consensus protocol for a class of heterogeneous high-order multi-agent systems with application for aircraft," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(2), pages 284-298, January.
    3. Long, Mingkang & Su, Housheng & Liu, Bo, 2019. "Second-order controllability of two-time-scale multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 299-313.
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