{"title":"Stability of semilinear discrete inclusions in a Hilbert space","authors":"M. Gil'","doi":"10.28919/eml/4222","DOIUrl":null,"url":null,"abstract":"In this paper we consider a class of semilinear discrete (difference) inclusions in a Hilbert space. As is well-known, the discrete inclusions, in particular, are mathematical models of discrete-time switched systems. For the considered inclusions we suggest explicit exponential stability conditions. Our results are new even in the finite-dimensional case. An illustrative example is given.","PeriodicalId":364975,"journal":{"name":"Engineering Mathematics Letters","volume":"79 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering Mathematics Letters","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28919/eml/4222","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
In this paper we consider a class of semilinear discrete (difference) inclusions in a Hilbert space. As is well-known, the discrete inclusions, in particular, are mathematical models of discrete-time switched systems. For the considered inclusions we suggest explicit exponential stability conditions. Our results are new even in the finite-dimensional case. An illustrative example is given.
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