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    王东

    • 教授     博士生导师   硕士生导师
    • 性别:男
    • 毕业院校:大连理工大学
    • 学位:博士
    • 所在单位:控制科学与工程学院
    • 学科:控制理论与控制工程. 模式识别与智能系统. 导航、制导与控制
    • 办公地点:控制科学与工程学院海山楼A628
    • 联系方式:dwang[@]dlut.edu.cn

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    Exponential convergence rate of distributed optimisation for multi-agent systems with constraints set over a directed graph

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    论文类型:期刊论文

    发表时间:2018-06-12

    发表刊物:IET CONTROL THEORY AND APPLICATIONS

    收录刊物:SCIE

    卷号:12

    期号:9

    页面范围:1201-1207

    ISSN号:1751-8644

    关键字:optimisation; multi-agent systems; directed graphs; Lyapunov methods; exponential convergence rate; distributed optimisation; multi-agent systems; directed graph; novel distributed continuous-time algorithm; identity transformation; Lypaunov stability theory

    摘要:In this study, the authors propose a novel distributed continuous-time algorithm based on projection and gradient to solve the optimisation problem of a multi-agent system under any initialisation manner over a directed graph. The considered cost function is a summation of all local cost functions with local constraints set. The point of the proposed protocol is that a new scheme is proposed to offset the non-zero local gradients of local cost functions at the minimiser. The optimal solution of the proposed algorithm is shown using the variational inequality under some conditions. Moreover, exponential convergence rate of the designed algorithm is verified with the help of the identity transformation and Lypaunov stability theory. Finally, a numerical example and a comparison are provided to demonstrate the effectiveness of the theoretical results obtained.