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Distributed Consensus of Stochastic Delayed Multi-agent Systems Under Asynchronous Switching

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Handbook of Real-Time Computing

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Abstract

In this chapter, the distributed exponential consensus of stochastic delayed multi-agent systems with nonlinear dynamics is investigated under asynchronous switching. The asynchronous switching considered here is to account for the time of identifying the active modes of multi-agent systems. After receipt of confirmation of mode’s switching, the matched controller can be applied, which means that the switching time of the matched controller in each node usually lags behind that of system switching. In order to handle the coexistence of switched signals and stochastic disturbances, a comparison principle of stochastic switched delayed systems is firstly proved. By means of this extended comparison principle, several easy to verified conditions for the existence of an asynchronously switched distributed controller are derived such that stochastic delayed multi-agent systems with asynchronous switching and nonlinear dynamics can achieve global exponential consensus. Two examples are given to illustrate the effectiveness of the proposed method.

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Authors and Affiliations

  1. The School of Mathematics and Physics, Anhui Polytechnic University, Wuhu, China

    Xiaotai Wu

  2. The Key Laboratory of Advanced Control and Optimization for Chemical Processes, Ministry of Education, East China University of Science and Technology, Shanghai, China

    Yang Tang

  3. School of Mathematics, Southeast University, Nanjing, China

    Jinde Cao

  4. Department of Mathematics, Yangzhou University, Jiangsu, China

    Wenbing Zhang

Authors
  1. Xiaotai Wu
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  2. Yang Tang
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  3. Jinde Cao
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  4. Wenbing Zhang
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Corresponding author

Correspondence to Xiaotai Wu .

Editor information

Editors and Affiliations

  1. School of Computer Science, Queensland University of Technology, Brisbane, QLD, Australia

    Yu-Chu Tian

  2. School of Electrical and Information Engineering, The University of Sydney, Sydney, NSW, Australia

    David Charles Levy

Section Editor information

  1. Key Laboratory of Advanced Control and Optimization for Chemical Processes, Ministry of Education, East China University of Science and Technology, Shanghai, China

    Yang Tang

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Wu, X., Tang, Y., Cao, J., Zhang, W. (2022). Distributed Consensus of Stochastic Delayed Multi-agent Systems Under Asynchronous Switching. In: Tian, YC., Levy, D.C. (eds) Handbook of Real-Time Computing. Springer, Singapore. https://doi.org/10.1007/978-981-287-251-7_26

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