@inproceedings{dce09e87f1ab4c8a887c5204f8fa35b0,
title = "Distributed Nonsmooth Consensus Optimization Problems with Coupled Inequality Constraint: A Proximal Approach",
abstract = "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.",
keywords = "Coupled Inequality Constraint, Distributed Optimization, Proximal Algorithm",
author = "Shaolei Lu and Yue Wei and Yulong Ding and Jinqiang Cui and Hao Fang",
note = "Publisher Copyright: {\textcopyright} 2022 Technical Committee on Control Theory, Chinese Association of Automation.; 41st Chinese Control Conference, CCC 2022 ; Conference date: 25-07-2022 Through 27-07-2022",
year = "2022",
doi = "10.23919/CCC55666.2022.9902329",
language = "English",
series = "Chinese Control Conference, CCC",
publisher = "IEEE Computer Society",
pages = "194--199",
editor = "Zhijun Li and Jian Sun",
booktitle = "Proceedings of the 41st Chinese Control Conference, CCC 2022",
address = "United States",
}