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Scaled Group Consensus of Linear Multi-agent Systems over Randomly Switching Topologies

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Proceedings of 2021 Chinese Intelligent Systems Conference

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 803))

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Abstract

This paper studies the continuous time scaled group consensus problems for linear time-invariant multi-agent systems over randomly switching topologies. The switching is controlled by a time-homogeneous Markov process, where the state in the process corresponds to a possible interaction topology among agents. It is proved that the influence of switching topology on scaled group consensus is determined by the union topology related to state in the Markov process. Using algebra theory, graph theory and Lyapunov theory as tools, sufficient conditions for scaled group consensus over the control protocol are obtained. Finally, the theoretical results are verified by simulation examples.

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Authors and Affiliations

  1. College of Electrical Engineering and Automation, Fuzhou University, Fuzhou, 350116, China

    Fangye Chen, Jinhua Wang & Wenchao Huang

Authors
  1. Fangye Chen
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  2. Jinhua Wang
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  3. Wenchao Huang
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Corresponding author

Correspondence to Wenchao Huang .

Editor information

Editors and Affiliations

  1. School of Automatic Science and Electrical Engineering, Beihang University, Beijing, China

    Yingmin Jia

  2. School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, China

    Weicun Zhang

  3. School of Mechanical Engineering and Automation, Beihang University, Beijing, China

    Yongling Fu

  4. Beijing Institute of Precision Mechatronics and Controls, Beijing, China

    Zhiyuan Yu

  5. College of Electrical Engineering and Automation, Fuzhou University, Fuzhou, Fujian, China

    Song Zheng

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Chen, F., Wang, J., Huang, W. (2022). Scaled Group Consensus of Linear Multi-agent Systems over Randomly Switching Topologies. In: Jia, Y., Zhang, W., Fu, Y., Yu, Z., Zheng, S. (eds) Proceedings of 2021 Chinese Intelligent Systems Conference. Lecture Notes in Electrical Engineering, vol 803. Springer, Singapore. https://doi.org/10.1007/978-981-16-6328-4_80

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