{"title":"Extensions of Riccati diagonal stability","authors":"Ali Algefary , Jianhong Xu","doi":"10.1016/j.laa.2024.12.014","DOIUrl":null,"url":null,"abstract":"<div><div>As generalizations of Riccati diagonal stability on a matrix pair, the notions of Riccati <em>α</em>-scalar stability and <em>α</em>-diagonal stability are introduced and fully characterized. Further extensions involving different block diagonal structures, simultaneous <em>α</em>-scalar stability, and simultaneous <em>α</em>-diagonal stability are also presented.</div></div>","PeriodicalId":18043,"journal":{"name":"Linear Algebra and its Applications","volume":"708 ","pages":"Pages 463-479"},"PeriodicalIF":1.0000,"publicationDate":"2024-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Linear Algebra and its Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0024379524004865","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
As generalizations of Riccati diagonal stability on a matrix pair, the notions of Riccati α-scalar stability and α-diagonal stability are introduced and fully characterized. Further extensions involving different block diagonal structures, simultaneous α-scalar stability, and simultaneous α-diagonal stability are also presented.
期刊介绍：
Linear Algebra and its Applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic, arithmetic, combinatorial, geometric, or numerical aspects. It also publishes articles that give significant applications of matrix theory or linear algebra to other branches of mathematics and to other sciences. Articles that provide new information or perspectives on the historical development of matrix theory and linear algebra are also welcome. Expository articles which can serve as an introduction to a subject for workers in related areas and which bring one to the frontiers of research are encouraged. Reviews of books are published occasionally as are conference reports that provide an historical record of major meetings on matrix theory and linear algebra.
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