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Distributed Consensus for Discrete Multi-agent Systems with Time Delay in the Transmission

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Signal and Information Processing, Networking and Computers

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 917))

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Abstract

In our study, we analysed how to achieve consensus on the condition of distributed environment for a set of high-order discrete multi-agent models. Suppose the system is critically unstable and the undirected network which we analysed is under a time-varying communication delay. Through researching the union effects of network topology, communication delay and agent dynamics, we get the allowable delay bound which could be used to assure consensus. As a special case, if all poles of agent dynamics are located at the complex plane of \(z=1\), consensus can be achieved for any bounded delay. Finally, a simulation result is presented to validate the feasibility of the obtained theoretical results.

The work was supported by the National Natural Science Foundation of China 61803237, the Project of University Science and Technology J17KA083.

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Authors and Affiliations

  1. School of Information Science and Engineering, Shandong Normal University, Jinan, China

    Qipeng Hu, Yanli Zhu & Zhenhua Wang

  2. Department of Electrical and Computer Engineering, University of Windsor, Windsor, N9B3P4, Canada

    Liming Zou

Authors
  1. Qipeng Hu
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  2. Yanli Zhu
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  3. Zhenhua Wang
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  4. Liming Zou
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Corresponding author

Correspondence to Zhenhua Wang .

Editor information

Editors and Affiliations

  1. School of Information Technology and Engineering, Shandong Normal University, Jinan, China

    Jiande Sun

  2. China Academy of Space Technology, Beijing, China

    Yue Wang

  3. Beijing University of Posts and Telecommunications, Beijing, China

    Mengyao Huo

  4. China Unicom, Haidian, Beijing, China

    Lexi Xu

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Hu, Q., Zhu, Y., Wang, Z., Zou, L. (2023). Distributed Consensus for Discrete Multi-agent Systems with Time Delay in the Transmission. In: Sun, J., Wang, Y., Huo, M., Xu, L. (eds) Signal and Information Processing, Networking and Computers. Lecture Notes in Electrical Engineering, vol 917. Springer, Singapore. https://doi.org/10.1007/978-981-19-3387-5_142

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  • DOI: https://doi.org/10.1007/978-981-19-3387-5_142

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-3386-8

  • Online ISBN: 978-981-19-3387-5

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