标题:Continuous-time distributed convex optimization with set constraints
作者:Liu, Shuai ;Qiu, Zhirong ;Xie, Lihua
作者机构:[Liu, Shuai ] School of Control Science and Engineering, Shandong University, Jinan, China;[Liu, Shuai ;Qiu, Zhirong ;Xie, Lihua ] School of EEE, Nany 更多
会议名称:19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014
会议日期:24 August 2014 through 29 August 2014
来源:IFAC Proceedings Volumes (IFAC-PapersOnline)
出版年:2014
卷:19
页码:9762-9767
关键词:Convex optimization; Distributed; Gradient; Multi-agent system; Set constraint
摘要:We study a distributed convex optimization problem with set constraints. The objective function is a summation of strictly convex functions. Based on a multi-agent system formulation, we consider that each node is with continuous-time dynamics and can only access its local objective function. Meanwhile, each node is subject to a common convex set constraint. The nodes can exchange local information with their neighbor nodes. A distributed gradient-based control protocol is applied to each node. It is shown that when the nodes are connected as an undirected graph and the time-varying gains of the gradients satisfy a persistence condition, the states of all the nodes will converge to the unique optimal point subject to the set constraints. Numerical examples are provided to demonstrate the results. © IFAC.
收录类别:EI;SCOPUS
Scopus被引频次:7
资源类型:会议论文;期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-84929832234&partnerID=40&md5=17be3a03d6df18566fb501296bfb34d7
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