G. Bastin, J. Coron, B. d'Andréa-Novel, P. Suvarov, A. Wouwer, A. Kienle
{"title":"开关双曲体系的稳定性分析:以SMB色谱为例","authors":"G. Bastin, J. Coron, B. d'Andréa-Novel, P. Suvarov, A. Wouwer, A. Kienle","doi":"10.1109/ECC.2014.6862556","DOIUrl":null,"url":null,"abstract":"This paper addresses the issue of the exponential stability of hybrid hyperbolic systems with switching boundary conditions. Our contribution is to show, through the specific example of SMB chromatography, how exponential stability (in L2-norm) can be established when the switching mechanism is precisely defined. The obtained stability conditions are direct generalizations of the corresponding results for the unswitched case.","PeriodicalId":251538,"journal":{"name":"2014 European Control Conference (ECC)","volume":"89 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Stability analysis of switching hyperbolic systems: the example of SMB chromatography\",\"authors\":\"G. Bastin, J. Coron, B. d'Andréa-Novel, P. Suvarov, A. Wouwer, A. Kienle\",\"doi\":\"10.1109/ECC.2014.6862556\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper addresses the issue of the exponential stability of hybrid hyperbolic systems with switching boundary conditions. Our contribution is to show, through the specific example of SMB chromatography, how exponential stability (in L2-norm) can be established when the switching mechanism is precisely defined. The obtained stability conditions are direct generalizations of the corresponding results for the unswitched case.\",\"PeriodicalId\":251538,\"journal\":{\"name\":\"2014 European Control Conference (ECC)\",\"volume\":\"89 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-06-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2014 European Control Conference (ECC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ECC.2014.6862556\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 European Control Conference (ECC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ECC.2014.6862556","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stability analysis of switching hyperbolic systems: the example of SMB chromatography
This paper addresses the issue of the exponential stability of hybrid hyperbolic systems with switching boundary conditions. Our contribution is to show, through the specific example of SMB chromatography, how exponential stability (in L2-norm) can be established when the switching mechanism is precisely defined. The obtained stability conditions are direct generalizations of the corresponding results for the unswitched case.