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Finite-time average consensus of directed second-order multi-agent systems with Markovian switching topology and impulsive disturbance

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Abstract

This paper investigates finite-time mean square average consensus of second-order multi-agent systems, where connected typologies are directed and subject to Markovian switching, agents dynamics are nonlinear and interrupt by impulses. In order to eliminate the chattering phenomenon in finite-time control, we propose a protocol without sign function, that contains neighborhood and self state feedbacks. Also, by employing graph theory, some graph-related matrices are formed to analyze directed switching topologies. Then, expectations of multi-agent systems energy evolution are bounded in both continuous and discontinuous time by using stochastic and discontinuous stability theories. In this basis, sufficient finite-time mean square consensus criteria are established and their settling times are obtained. Simulation examples prove the theoretical results are correct and the finite-time protocol is valid.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grants No. 61173178, 61374078 and 61633011, the Science and Technology Research Program of Chongqing Municipal Education Commission in China Grant No.KJZD-K202100104 and Natural Science Foundation of Chongqing under Grant No.cstc2021jcyj-msxmX1212, China.

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Authors and Affiliations

  1. College of Intelligent Technology and Engineering, Chongqing University of Science and Technology, Chongqing, 401331, People’s Republic of China

    Yuan Tian & Qi Han

  2. College of Electronic and Information Engineering, Southwest University, Chongqing, 400075, People’s Republic of China

    Huaqing Li

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  1. Yuan Tian
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Correspondence to Yuan Tian.

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Tian, Y., Li, H. & Han, Q. Finite-time average consensus of directed second-order multi-agent systems with Markovian switching topology and impulsive disturbance. Neural Comput & Applic 35, 8575–8588 (2023). https://doi.org/10.1007/s00521-022-08131-2

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