{"title":"二维位移变离散状态空间系统的鲁棒渐近稳定性","authors":"A. Yost, P. Bauer","doi":"10.1109/MWSCAS.1995.504481","DOIUrl":null,"url":null,"abstract":"The results described in this paper provide conditions for the asymptotic stability of 2-D shift-variant uncertain systems expressed using the Roesser state-space description. A necessary and sufficient condition for the asymptotic stability of 1-D systems involves checking all products of extreme matrices. The same test is shown to apply to 2-D systems, although the corresponding stability condition is sufficient, but not necessary.","PeriodicalId":165081,"journal":{"name":"38th Midwest Symposium on Circuits and Systems. Proceedings","volume":"36 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1995-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Robust asymptotic stability of 2-D shift-variant discrete state-space systems\",\"authors\":\"A. Yost, P. Bauer\",\"doi\":\"10.1109/MWSCAS.1995.504481\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The results described in this paper provide conditions for the asymptotic stability of 2-D shift-variant uncertain systems expressed using the Roesser state-space description. A necessary and sufficient condition for the asymptotic stability of 1-D systems involves checking all products of extreme matrices. The same test is shown to apply to 2-D systems, although the corresponding stability condition is sufficient, but not necessary.\",\"PeriodicalId\":165081,\"journal\":{\"name\":\"38th Midwest Symposium on Circuits and Systems. Proceedings\",\"volume\":\"36 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1995-08-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"38th Midwest Symposium on Circuits and Systems. Proceedings\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MWSCAS.1995.504481\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"38th Midwest Symposium on Circuits and Systems. Proceedings","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MWSCAS.1995.504481","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Robust asymptotic stability of 2-D shift-variant discrete state-space systems
The results described in this paper provide conditions for the asymptotic stability of 2-D shift-variant uncertain systems expressed using the Roesser state-space description. A necessary and sufficient condition for the asymptotic stability of 1-D systems involves checking all products of extreme matrices. The same test is shown to apply to 2-D systems, although the corresponding stability condition is sufficient, but not necessary.
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