Jihene Ben Rejeb, I. Morǎrescu, A. Girard, J. Daafouz
{"title":"Design of O(ε) dwell-time graph for stability of singularly perturbed hybrid linear systems","authors":"Jihene Ben Rejeb, I. Morǎrescu, A. Girard, J. Daafouz","doi":"10.23919/ACC.2017.7963115","DOIUrl":null,"url":null,"abstract":"The paper deals with singularly perturbed hybrid systems. It proposes a methodology for building a graph defining all the rules that ensure the origin is a stable equilibrium in presence of a dwell-time of order of the parameter defining the ratio between the two time-scales of the system. In this framework one can also treat the corresponding problem for interesting particular cases such as: singularly perturbed switched linear systems without impulses, one scale hybrid systems or one scale switched systems. A numerical example illustrates the theoretical results completing the paper.","PeriodicalId":422926,"journal":{"name":"2017 American Control Conference (ACC)","volume":"44 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 American Control Conference (ACC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/ACC.2017.7963115","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
The paper deals with singularly perturbed hybrid systems. It proposes a methodology for building a graph defining all the rules that ensure the origin is a stable equilibrium in presence of a dwell-time of order of the parameter defining the ratio between the two time-scales of the system. In this framework one can also treat the corresponding problem for interesting particular cases such as: singularly perturbed switched linear systems without impulses, one scale hybrid systems or one scale switched systems. A numerical example illustrates the theoretical results completing the paper.