{"title":"Continuity of latent variable models","authors":"J. Willems, J. Nieuwenhuis","doi":"10.1109/CDC.1990.203519","DOIUrl":null,"url":null,"abstract":"The continuity of the behavior of dynamical systems is studied as a function of the parameters in their behavioral equations. The problem is motivated by an RLC circuit whose port behavior exhibits a discontinuity as a function of the numerical values of the elements in the circuit. The main result is that a system described by difference equations involving manifest (external) and latent (internal) variables will have a continuous behavior in the limit if the limit system is observable.<<ETX>>","PeriodicalId":287089,"journal":{"name":"29th IEEE Conference on Decision and Control","volume":"53 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"29th IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1990.203519","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 7
Abstract
The continuity of the behavior of dynamical systems is studied as a function of the parameters in their behavioral equations. The problem is motivated by an RLC circuit whose port behavior exhibits a discontinuity as a function of the numerical values of the elements in the circuit. The main result is that a system described by difference equations involving manifest (external) and latent (internal) variables will have a continuous behavior in the limit if the limit system is observable.<>
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