{"title":"利用Vech和Veck算子的Lyapunov方程闭型解","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":"{\"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}","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}
Closed Form Solutions of Lyapunov Equations Using the Vech and Veck Operators
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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