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Projective Group Consensus of Multi-Agent Systems with Arbitrary Parameter

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Abstract

In this paper, the projective group consensus issue for second order multi-agent systems (MASs) in directed graphs with a dynamic leader is investigated. The proposed projective group consensus with arbitrary parameter includes traditional consensus, reverse group consensus and cluster consensus as its special cases. Novel distributed control protocols are designed to obtain projective group consensus without analyzing signed directed graph as in most current literatures on bipartite consensus problem. On the basis of Lyapunov stability property, algebraic graph and some necessary matrix theory, sufficient conditions for delay and delay-free cases are derived. Finally, simulations of nonlinear chaotic MASs are adopted to testify the theoretical results.

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Authors and Affiliations

  1. School of Science, Jiangnan University, Wuxi, 214122, China

    Liangkang Chen, Liuxiao Guo & Yongqing Yang

Authors
  1. Liangkang Chen
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  2. Liuxiao Guo
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  3. Yongqing Yang
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Corresponding author

Correspondence to Liuxiao Guo.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant Nos. 61807016 and 61772013, the Natural Science Foundation of Jiangsu Province under Grant Nos. BK20181342 and BK20171142.

This paper was recommended for publication by Editor LIU Guoping.

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Chen, L., Guo, L. & Yang, Y. Projective Group Consensus of Multi-Agent Systems with Arbitrary Parameter. J Syst Sci Complex 34, 618–631 (2021). https://doi.org/10.1007/s11424-020-9137-5

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  • DOI: https://doi.org/10.1007/s11424-020-9137-5

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