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Containment Control of Multi-Agent Systems with Stochastic Multiplicative Noises

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Abstract

This paper investigates the containment problem of continuous-time multi-agent systems with multiplicative noises, where the first-order and second-order multi-agent systems are studied respectively. Based on stochastic analysis tools, algebraic graph theory, and Lyapunov function method, the containment protocols based the relative states measurement with multiplicative noises are developed to guarantee the mean square and almost sure containment. Moreover, the sufficient conditions and necessary conditions related to the control gains are derived for achieving mean square and almost sure containment. It is also shown that multiplicative noises may works positively for the almost sure containment of the first-order multi-agent systems. Simulation examples are also introduced to illustrate the effectiveness of the theoretical results.

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Authors and Affiliations

  1. School of Automation, China University of Geosciences, Wuhan, 430074, China

    Junhao Ren & Xiaofeng Zong

  2. Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan, 430074, China

    Junhao Ren & Xiaofeng Zong

  3. Engineering Research Center of Intelligent Technology for Geo-Exploration, Ministry of Education, Wuhan, 430074, China

    Junhao Ren & Xiaofeng Zong

Authors
  1. Junhao Ren
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  2. Xiaofeng Zong
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Corresponding author

Correspondence to Xiaofeng Zong.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant Nos. 61703378, 62073305 and the Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan).

This paper was recommended for publication by Editor CAO Ming.

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Cite this article

Ren, J., Zong, X. Containment Control of Multi-Agent Systems with Stochastic Multiplicative Noises. J Syst Sci Complex 35, 909–930 (2022). https://doi.org/10.1007/s11424-021-0167-4

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  • DOI: https://doi.org/10.1007/s11424-021-0167-4

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