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Bipartite consensus of double-integrator multi-agent systems with nonuniform communication time delays

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Abstract

In this paper, the bipartite consensus problem is addressed for a class of double-integrator multi-agent systems with antagonistic interactions. The cases with and without communication time delays are considered. In particular, if the communication time delays are not taken into account, the bipartite consensus of the studied multi-agent systems with directed signed graph can be achieved by the proposed distributed controller. If the nonuniform communication time delays are considered, the bipartite consensus of the considered multi-agent systems with undirected signed graph can be achieved if the time delays are less than a derived upper bound. Moreover, we propose an algorithm to solve the so-called grouping problem. Finally, some numerical examples are provided to illustrate the correctness of the results.

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Acknowledgements

This study was funded in part by the National Natural Science Foundation of China (Grant No. 61803392) and in part by the Fundamental Research Funds for the Central Universities of Central South University (Grant No.2020zzts531).

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Authors and Affiliations

  1. School of Automation, Central South University, Changsha, China

    Wenfeng Hu, Yanhua Yang & Guo Chen

  2. School of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore, Singapore

    Min Meng

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  1. Wenfeng Hu
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  2. Yanhua Yang
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  3. Guo Chen
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  4. Min Meng
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Correspondence to Guo Chen.

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The authors declare that they have no conflict of interest. This article does not contain any studies with animals performed by any of the authors. Informed consent was obtained from all individual participants included in the study.

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Hu, W., Yang, Y., Chen, G. et al. Bipartite consensus of double-integrator multi-agent systems with nonuniform communication time delays. Neural Comput & Applic 33, 2285–2295 (2021). https://doi.org/10.1007/s00521-020-05072-6

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  • DOI: https://doi.org/10.1007/s00521-020-05072-6

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