{"title":"On the stability-robustness of linear dynamical systems","authors":"C. Johnson","doi":"10.1109/SSST.2010.5442795","DOIUrl":null,"url":null,"abstract":"The ability of a dynamical system to remain stable in the face of perturbations in values of the system's parameters/coefficients is an important safety-attribute in control-system analysis and design and is referred-to as \"stability-robustness\". The most fundamental question in the study of stability-robustness is to identify, or safely-approximate, the \"extent/range\" of parameter-variations for which the system remains stable, in some defined sense. In this paper we consider the class of \"constant\" linear dynamical systems and show that in some, seemingly-normal sub-cases, an asymptotically-stable, constant linear dynamical system can exhibit rather unusual non-robust stability features. An Example is presented and the unique structural-property characterizing the non-robust stability behavior is identified.","PeriodicalId":6463,"journal":{"name":"2010 42nd Southeastern Symposium on System Theory (SSST)","volume":"7 1","pages":"15-18"},"PeriodicalIF":0.0000,"publicationDate":"2010-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 42nd Southeastern Symposium on System Theory (SSST)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SSST.2010.5442795","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The ability of a dynamical system to remain stable in the face of perturbations in values of the system's parameters/coefficients is an important safety-attribute in control-system analysis and design and is referred-to as "stability-robustness". The most fundamental question in the study of stability-robustness is to identify, or safely-approximate, the "extent/range" of parameter-variations for which the system remains stable, in some defined sense. In this paper we consider the class of "constant" linear dynamical systems and show that in some, seemingly-normal sub-cases, an asymptotically-stable, constant linear dynamical system can exhibit rather unusual non-robust stability features. An Example is presented and the unique structural-property characterizing the non-robust stability behavior is identified.