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Group Consensus for Discrete-Time Heterogeneous Multiagent Systems with Input and Communication Delays

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  • Yiliu Jiang
  • Lianghao Ji
  • Xingcheng Pu
  • Qun Liu

Abstract

Group consensus seeking is investigated for a class of discrete-time heterogeneous multiagent systems composed of first-order and second-order agents with both communication and input time delays. Considering two types of system topologies, novel protocols based on the competitive and cooperative relationships among the agents are presented, respectively. By matrix theory and frequency domain analysis method, the sufficient conditions solving consensus problem are obtained. The results show that the achievement of group consensus is bound up with the input time delays, coupling weights between the agents and the system’s control parameters, but it is irrelevant to the communication delays. Finally, numerical simulations are presented to illustrate the correctness of the theoretical results.

Suggested Citation

  • Yiliu Jiang & Lianghao Ji & Xingcheng Pu & Qun Liu, 2018. "Group Consensus for Discrete-Time Heterogeneous Multiagent Systems with Input and Communication Delays," Complexity, Hindawi, vol. 2018, pages 1-12, October.
    • Handle: RePEc:hin:complx:8319537
    DOI: 10.1155/2018/8319537
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    References listed on IDEAS

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    1. Yilun Shang, 2015. "Group consensus of multi-agent systems in directed networks with noises and time delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(14), pages 2481-2492, October.
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    Cited by:

    1. Lixin Gao & Hui Fang & Wenhai Chen & He Cao, 2019. "Weighted Consensus Problem for Multiagent Systems with Edge- and Node-Weighted Directed Graphs," Complexity, Hindawi, vol. 2019, pages 1-13, September.

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