Distributed Nonsmooth Consensus Optimization Problems with Coupled Inequality Constraint: A Proximal Approach

被引：0
|
作者：
Lu, Shaolei [1 ]
Wei, Yue [2 ]
Ding, Yulong
Cui, Jinqiang
Fang, Hao [3 ]
机构：
[1] Information Sci Acad China Elect Technol Grp C, Intelligent Collaborat Equipment Ctr, Beijing 100098, Peoples R China
[2] Peng Cheng Lab, Dept Math & Theories, Shenzhen 518000, Peoples R China
[3] Beijing Inst Technol, Beijing 100081, Peoples R China
来源：
2022 41ST CHINESE CONTROL CONFERENCE (CCC) | 2022年
基金：
中国博士后科学基金;
关键词：
Distributed Optimization; Coupled Inequality Constraint; Proximal Algorithm; ALGORITHM;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Distributed nonsmooth consensus optimization problems with the coupled inequality constraint are investigated in this paper. The global objective consists of convex and nonsmooth local cost functions. Each agent has only the information of its corresponding local cost function. Moreover, the coupled inequality constraint and consensus constraint are also considered. By employing the proximal method, a distributed proximal-gradient algorithm is proposed. The convergence result is theoretically analysed by using Lyapunov stability theory. It shows that the multi-agent system driven by the proposed algorithm can reach consensus and satisfy the coupled equality constraint at the optimal solution. In the end, the results of the simulation show the efficiency of the proposed algorithm.
引用
收藏
页码：194 / 199
页数：6
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