Distributed solver for linear matrix inequalities:an optimization perspective
Weijian Li1
Wen Deng2
Xianlin Zeng3
Yiguang Hong4
1.Department of Automation,University of Science and Technology of China,Hefei 230027,Anhui,China2.Key Lab of Systems and Control,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China3.Key Laboratory of Intelligent Control and Decision of Complex Systems,School of Automation,Beijing Institute of Technology,Beijing 100081,China4.Department of Control Science and Engineering,Tongji University,Shanghai 201804,China
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 inter-section of all the feasible regions.The formulation is transformed into a distributed optimization problem by introducing slack variables and consensus constraints.Then,by the primal-dual methods,a distributed algorithm is proposed with the help of projection operators and derivative feedback.Finally,the convergence of the algorithm is analyzed,followed by illustrative simulations.
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论文发表日期：2021-11-05
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：9( 507-515 )
英文信息