文章基本信息

标题：Distributed Solving Sylvester equations with an explicit exponential Convergence
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作者：Songsong Cheng ; Xianlin Zeng ; Yiguang Hong 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2020
卷号：53
期号：2
页码：3260-3265
DOI：10.1016/j.ifacol.2020.12.1129
语种：English
出版社：Elsevier
摘要：AbstractThis paper addresses distributed achieving the least squares solution of Sylvester equations in the form of AX + XB = C. By decomposing the parameter matrices A, B and C, we formulate the problem of distributed solving Sylvester equations as a distributed optimization model and propose a continuous-time algorithm from the primal-dual viewpoint. Then, by constructing a Lyapunov function, we prove that the proposed algorithm can achieve a least squares solution of Sylvester equations with an explicit exponential convergence rate. Additionally, we illustrate the convergence performance by using a numerical example.
关键词：KeywordsSylvester equationsDistributed optimizationLeast squares solutionexponential convergence