{"title":"Positivity and stability of discrete-time and continuous-time nonlinear systems","authors":"T. Kaczorek","doi":"10.15199/48.2015.08.30","DOIUrl":null,"url":null,"abstract":"The positivity and asymptotic stability of the discrete-time and continuous-time nonlinear systems are addressed. Sufficient conditions for the positivity and asymptotic stability of the nonlinear systems are established. The proposed stability tests are based on an extension of the Lyapunov method to the positive nonlinear systems.","PeriodicalId":135123,"journal":{"name":"2015 16th International Conference on Computational Problems of Electrical Engineering (CPEE)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2015-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 16th International Conference on Computational Problems of Electrical Engineering (CPEE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15199/48.2015.08.30","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
The positivity and asymptotic stability of the discrete-time and continuous-time nonlinear systems are addressed. Sufficient conditions for the positivity and asymptotic stability of the nonlinear systems are established. The proposed stability tests are based on an extension of the Lyapunov method to the positive nonlinear systems.