{"title":"Closed Form Solutions of Lyapunov Equations Using the Vech and Veck Operators","authors":"N. Assimakis, M. Adam","doi":"10.37394/23206.2021.20.28","DOIUrl":null,"url":null,"abstract":"New closed forms are presented of the solutions of the continuous and discrete Lyapunov equations using the vech and veck operators. The proposed solutions are faster than the classical solutions derived using the vec operator. The solutions via veck operator are faster than the solutions via vech operator. Key-Words: continuous Lyapunov equation, discrete Lyapunov equation, vec, vech, veck operator Received: April 6, 2021. Revised: May 20, 2021. Accepted: May 28, 2021. Published: June 2, 2021.","PeriodicalId":112268,"journal":{"name":"WSEAS Transactions on Mathematics archive","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"WSEAS Transactions on Mathematics archive","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37394/23206.2021.20.28","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
New closed forms are presented of the solutions of the continuous and discrete Lyapunov equations using the vech and veck operators. The proposed solutions are faster than the classical solutions derived using the vec operator. The solutions via veck operator are faster than the solutions via vech operator. Key-Words: continuous Lyapunov equation, discrete Lyapunov equation, vec, vech, veck operator Received: April 6, 2021. Revised: May 20, 2021. Accepted: May 28, 2021. Published: June 2, 2021.
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