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Controllability for multi-agent systems with matrix-weight-based signed network

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  • Liu, Bo
  • Su, Housheng
  • Wu, Licheng
  • Shen, Xixi

Abstract

This study aims at the controllability of multi-agent systems (MASs) with cooperation and competition in a matrix-weight-based signed network based on the leader-follower structure from an algebra-theoretic perspective, which is a generalization of a scalar-weighted signed network due to increasing the dimension of controllable matrix and controllable subspace for such MASs. Therefore, comparing with existing results, relying on matrix coupling links, the study indicates that controllability can be attained in a structurally balanced matrix-weight-based network. Algebra-theoretic characterizations for attaining controllability are provided. Moreover, the algebraic uncontrollable conditions for such network are examined. Examples and simulations are given to illustrate the theoretical results.

Suggested Citation

  • Liu, Bo & Su, Housheng & Wu, Licheng & Shen, Xixi, 2021. "Controllability for multi-agent systems with matrix-weight-based signed network," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    • Handle: RePEc:eee:apmaco:v:411:y:2021:i:c:s0096300321006093
    DOI: 10.1016/j.amc.2021.126520
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    References listed on IDEAS

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    1. Jijun Qu & Zhijian Ji & Chong Lin & Haisheng Yu, 2018. "Fast Consensus Seeking on Networks with Antagonistic Interactions," Complexity, Hindawi, vol. 2018, pages 1-15, December.
    2. Hongtao Ye & Zhongqiu Chen & Wenguang Luo & Jiayan Wen & Kene Li, 2020. "Bipartite Consensus of Heterogeneous Multiagent Systems with Diverse Input Delays," Complexity, Hindawi, vol. 2020, pages 1-10, July.
    3. Xiaoyu Wang & Kaien Liu & Zhijian Ji & Shitao Han, 2020. "Bipartite Consensus of Heterogeneous Multiagent Systems Based on Distributed Event-Triggered Control," Complexity, Hindawi, vol. 2020, pages 1-14, March.
    4. Long, Mingkang & Su, Housheng & Liu, Bo, 2019. "Second-order controllability of two-time-scale multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 299-313.
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    Cited by:

    1. Vadivoo, B.S. & Jothilakshmi, G. & Almalki, Y. & Debbouche, A. & Lavanya, M., 2022. "Relative controllability analysis of fractional order differential equations with multiple time delays," Applied Mathematics and Computation, Elsevier, vol. 428(C).
    2. Wang, Xin & Zhai, Shidong & Luo, Guoqiang & Huang, Tao, 2022. "Cluster synchronization in a network of nonlinear systems with directed topology and competitive relationships," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    3. Miao, Suoxia & Su, Housheng, 2024. "Behaviors of matrix-weighted networks with antagonistic interactions," Applied Mathematics and Computation, Elsevier, vol. 467(C).
    4. Wang, Duo & Sipahi, Rifat, 2024. "Betweenness centrality can inform stability and delay margin in a large-scale connected vehicle system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 636(C).

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