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Group consensus of multi-agent systems in directed networks with noises and time delays

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  • Yilun Shang

Abstract

In this paper, group consensus problems in fixed directed networks of dynamic agents are investigated. Group consensus means that the agents in each group share a consistent value while there is no agreement between any two groups. Based on algebraic graph theory, sufficient conditions guaranteeing group consensus under the proposed control protocol in the presence of random noises and communication delays are derived. The analysis uses a stability result of Mao for stochastic differential delay equations, which ensures the consensus can be achieved almost surely and exponentially fast. Numerical examples are provided to demonstrate the availability of the obtained results as well as the effect of time delay/noise intensity.

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  • 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.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:14:p:2481-2492
    DOI: 10.1080/00207721.2013.862582
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    1. Vabø, Rune & Skaret, Georg, 2008. "Emerging school structures and collective dynamics in spawning herring: A simulation study," Ecological Modelling, Elsevier, vol. 214(2), pages 125-140.
    2. Fenglan Sun & Zhi-Hong Guan & Li Ding & Yan-Wu Wang, 2013. "Mean square average-consensus for multi-agent systems with measurement noise and time delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(6), pages 995-1005.
    3. Guoying Miao & Shengyuan Xu & Yun Zou, 2013. "Necessary and sufficient conditions for mean square consensus under Markov switching topologies," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(1), pages 178-186.
    4. Yanping Gao & Min Zuo & Tongqiang Jiang & Junping Du & Jingwei Ma, 2013. "Asynchronous consensus of multiple second-order agents with partial state information," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(5), pages 966-977.
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    Cited by:

    1. Li, Jun & Ji, Lianghao & Li, Huaqing, 2021. "Optimal consensus control for unknown second-order multi-agent systems: Using model-free reinforcement learning method," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    2. 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.
    3. 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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