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Leader-Following Mean Square Consensus of Stochastic Multi-agent Systems via Periodically Intermittent Event-Triggered Control

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Abstract

This paper investigates the leader-following mean square consensus of stochastic multi-agent systems. Firstly, an intermittent event-triggered strategy along with triggering conditions has been presented. Next, a novel Lemma has been established to overcome the difficulty which stems from integrating intermittent strategy into event-triggered strategy. With aid of the established Lemma and some stochastic analysis techniques, two sufficient criteria on consensus of stochastic multi-agent systems via the proposed strategy have been derived. Finally, three numerical examples are presented to demonstrate the effectiveness of theoretical results.

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Acknowledgements

The work was supported in part by the Fundamental Research Funds for the Central Universities (Grant No. 2019B19214), in part by the National Science Foundation of China (Grant Nos. 61773152, 11826209), in part by the Chinese Postdoctoral Science Foundation (Grant Nos. 2016M601698, 2017T100318), in part by the Jiangsu Province Postdoctoral Science Foundation (Grant No. 1701078B) and in part by the project funded by the Qing Lan Project of Jiangsu Province, China.

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Authors and Affiliations

  1. College of Science, Hohai University, Nanjing, 210098, People’s Republic of China

    Xiaoying Liu & Lei Liu

  2. School of Mathematics and Computer Science, Wuhan Textile University, Wuhan, 430200, People’s Republic of China

    Hongbo Fu

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  1. Xiaoying Liu
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Correspondence to Lei Liu.

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Liu, X., Fu, H. & Liu, L. Leader-Following Mean Square Consensus of Stochastic Multi-agent Systems via Periodically Intermittent Event-Triggered Control. Neural Process Lett 53, 275–298 (2021). https://doi.org/10.1007/s11063-020-10388-4

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