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Bipartite containment control of multi-agent systems under channel imperfections: when bit-flips meet packet-losses

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  • Zheng, Shaobo
  • Zhou, Lei

Abstract

This paper investigates bipartite containment control of linear multi-agent systems under channel imperfections using source binary coding schemes with bit-flips and packet-losses. The communication channels are allocated through an average allocation protocol. The source binary coding scheme for measurement outputs is employed, and a finite-length bit stream is designed to satisfy the requirement of channel capacity. The paper aims to establish mean-square bipartite containment conditions under communication constraints such that the containment error is bounded. First, the statistical properties of the aggregated error are derived. Then, a sufficient condition is obtained to ensure bipartite containment in the mean-square sense. Furthermore, with the free matrix approach and the matrix inequality method, the control gain is obtained to ensure the existence of a desired controller. Finally, two examples are provided to illustrate the effectiveness of the results.

Suggested Citation

  • Zheng, Shaobo & Zhou, Lei, 2026. "Bipartite containment control of multi-agent systems under channel imperfections: when bit-flips meet packet-losses," Applied Mathematics and Computation, Elsevier, vol. 510(C).
    • Handle: RePEc:eee:apmaco:v:510:y:2026:i:c:s0096300325004151
    DOI: 10.1016/j.amc.2025.129689
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    References listed on IDEAS

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    1. Wei Chen & Derui Ding & Guoliang Wei & Sunjie Zhang & Yurong Li, 2018. "Event-based containment control for multi-agent systems with packet dropouts," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(12), pages 2658-2669, September.
    2. Xiao, Xiaoqing & Park, Ju H. & Zhou, Lei, 2018. "Event-triggered control of discrete-time switched linear systems with packet losses," Applied Mathematics and Computation, Elsevier, vol. 333(C), pages 344-352.
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