{"title":"Eigenvalues of the solution of the Lyapunov tensor equation","authors":"L. Liang","doi":"10.7153/jmi-2022-16-46","DOIUrl":null,"url":null,"abstract":". The paper is concerned with H ( Z ) -eigenvalues of the solution of the Lyapunov ten- sor equation. According to the Lyapunov algebraic theorem on tensors, bounds for H ( Z ) eigenvalues of the solution are given fi rstly, then based on the relationship between the Lya- punov tensor equation and the continuous-time linear uncertain system, conditional inequalities for the asymptotic stability of the system are shown by H ( Z ) -eigenvalues of the solution of the Lyapunov tensor equation.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/jmi-2022-16-46","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
. The paper is concerned with H ( Z ) -eigenvalues of the solution of the Lyapunov ten- sor equation. According to the Lyapunov algebraic theorem on tensors, bounds for H ( Z ) eigenvalues of the solution are given fi rstly, then based on the relationship between the Lya- punov tensor equation and the continuous-time linear uncertain system, conditional inequalities for the asymptotic stability of the system are shown by H ( Z ) -eigenvalues of the solution of the Lyapunov tensor equation.
期刊介绍：
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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