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A Continuous-Time Distributed Optimization Algorithm for Multi-Agent Systems with Parametric Uncertainties over Unbalanced Digraphs

Author

Listed:
  • Qing Yang

    (School of Information Science and Engineering, Chongqing Jiaotong University, Chongqing 400074, China
    These authors contributed equally to this work.)

  • Caiqi Jiang

    (School of Information Science and Engineering, Chongqing Jiaotong University, Chongqing 400074, China
    These authors contributed equally to this work.)

Abstract

This paper investigates distributed optimization problems for multi-agent systems with parametric uncertainties over unbalanced directed communication networks. To settle this class of optimization problems, a continuous-time algorithm is proposed by integrating adaptive control techniques with an output feedback tracking protocol. By systematically employing Lyapunov stability theory, perturbed system analysis, and input-to-state stability theory, we rigorously establish the asymptotic convergence property of the proposed algorithm. A numerical simulation further demonstrates the effectiveness of the algorithm in computing the global optimal solution.

Suggested Citation

  • Qing Yang & Caiqi Jiang, 2025. "A Continuous-Time Distributed Optimization Algorithm for Multi-Agent Systems with Parametric Uncertainties over Unbalanced Digraphs," Mathematics, MDPI, vol. 13(16), pages 1-16, August.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:16:p:2692-:d:1729510
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    References listed on IDEAS

    as
    1. Yawei Shi & Liang Ran & Jialong Tang & Xiangzhao Wu, 2022. "Distributed Optimization Algorithm for Composite Optimization Problems with Non-Smooth Function," Mathematics, MDPI, vol. 10(17), pages 1-17, September.
    2. Jingyi Wang & Danqi Liu & Jianwen Feng & Yi Zhao, 2023. "Distributed Optimization Control for Heterogeneous Multiagent Systems under Directed Topologies," Mathematics, MDPI, vol. 11(6), pages 1-16, March.
    3. Yueqing Wang & Hao Zhang & Zhi Li, 2024. "Distributed Optimization Control for the System with Second-Order Dynamic," Mathematics, MDPI, vol. 12(21), pages 1-17, October.
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