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Distributed optimal consensus of multiagent systems with Markovian switching topologies: synchronous and asynchronous communications

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Abstract

Considering limited system configurations and communication network bandwidths, this paper proposes two fully distributed event-triggered control schemes, namely synchronous and asynchronous communication, to solve the optimal consensus problem of linear multiagent systems (MASs) with Markovian switching topologies. The concept here is to design a novel composite dynamic event-triggered mechanism for each agent (using the information of all neighbors and one of them), based on which two fully distributed event-triggered protocols are designed to reach consensus and minimize a global convex team performance function. The effectiveness of the proposed control schemes is analyzed theoretically, that is, the optimal consensus problem can be realized, and the MAS does not exhibit Zeno behavior. Compared with existing optimal consensus results, the outstanding advantage of the proposed schemes is that a fully distributed asynchronous event-triggered communication scheme is designed, which fills the gap of optimal consensus results in this respect.

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Acknowledgements

This work was supported in part by National Natural Science Foundation of China (Grant Nos. 62303096, U22B20115, 62022044), Fundamental Research Funds for Central Universities (Grant No. 232405-25), and National Key R&D Program of China (Grant No. 2022YFB4100802).

Author information

Authors and Affiliations

  1. College of Information Science and Engineering, Northeastern University, Shenyang, 110004, China

    Juan Zhang, Huaguang Zhang & Bowen Zhou

  2. State Key Laboratory of Synthetical Automation for Process Industries, Shenyang, 110004, China

    Huaguang Zhang

  3. School of Internet of Things, Nanjing University of Posts and Telecommunications, Nanjing, 210023, China

    Xiangpeng Xie

Authors
  1. Juan Zhang
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  2. Huaguang Zhang
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  3. Bowen Zhou
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  4. Xiangpeng Xie
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Correspondence to Juan Zhang.

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Supporting information Appendixes A and B. The supporting information is available online at info.scichina.com and link.springer.com. The supporting materials are published as submitted, without typesetting or editing. The responsibility for scientific accuracy and content remains entirely with the authors.

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11432_2023_3843_MOESM1_ESM.pdf

Distributed optimal consensus of multiagent systems with Markovian switching topologies: synchronous and asynchronous communications

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Zhang, J., Zhang, H., Zhou, B. et al. Distributed optimal consensus of multiagent systems with Markovian switching topologies: synchronous and asynchronous communications. Sci. China Inf. Sci. 66, 222209 (2023). https://doi.org/10.1007/s11432-023-3843-7

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  • DOI: https://doi.org/10.1007/s11432-023-3843-7

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