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Almost sure consensus of stochastic nonlinear multi-agent systems via event-triggered control

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Abstract

In this study, the almost sure consensus of stochastic nonlinear multi-agent systems via event-triggered control is discussed. Firstly, the event trigger protocol is proposed, and the interval between two consecutive triggers has a fixed lower bound. Obviously, the trigger conditions mentioned avoid Zeno behavior. Secondly, based on the stochastic convergence theorem, the almost sure consensus of stochastic nonlinear multi-agent system via event-triggered control is analyzed without applying the famous Lyapunov theorem. Finally, the effectiveness of the proposed theory is verified by a simulation example.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under Grant 61973198 and in part by the Research Fund for the Taishan Scholar Project of Shandong Province of China.

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  1. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, 266590, China

    Zunjie Yu & Weihai Zhang

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  1. Zunjie Yu
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  2. Weihai Zhang
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Correspondence to Weihai Zhang.

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Yu, Z., Zhang, W. Almost sure consensus of stochastic nonlinear multi-agent systems via event-triggered control. Nonlinear Dyn 111, 3469–3478 (2023). https://doi.org/10.1007/s11071-022-07999-y

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