Distributed solver for linear matrix inequalities: an optimization perspective
作者机构：Department of AutomationUniversity of Science and Technology of ChinaHefei 230027AnhuiChina Key Lab of Systems and ControlAcademy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190China Key Laboratory of Intelligent Control and Decision of Complex SystemsSchool of AutomationBeijing Institute of TechnologyBeijing 100081China Department of Control Science and EngineeringTongji UniversityShanghai 201804China
出 版 物：《Control Theory and Technology》 (控制理论与技术（英文版）)
年 卷 期：2021年第19卷第4期
页 面：507-515页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：This work was supported by the Shanghai Municipal Science and Technology Major Project(No.2021SHZDZX0100) the National Natural Science Foundation of China(Nos.61733018,62073035)
主 题：Distributed computation Distributed optimization Linear matrix inequalities Primal-dual method
摘 要：In this paper,we develop a distributed solver for a group of strict(non-strict)linear matrix inequalities over a multi-agent network,where each agent only knows one inequality,and all agents co-operate to reach a consensus solution in the intersection of all the feasible *** formulation is transformed into a distributed optimization problem by introducing slack variables and consensus ***,by the primal–dual methods,a distributed algorithm is proposed with the help of projection operators and derivative ***,the convergence of the algorithm is analyzed,followed by illustrative simulations.
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