{"title":"区间多项式对特殊左扇区鲁棒稳定性的极值点结果","authors":"H. Kang, H. Kang","doi":"10.1109/ISRCS.2009.5252518","DOIUrl":null,"url":null,"abstract":"In this paper, we consider robust stability of interval polynomials of which stability region is the special left sector. The argument of the boundary of the special left sector is expressible as an irrational number multiplied by the circle ratio. We show that a family of interval polynomials is robustly stable if and only if a small set of vertex polynomials are robustly stable. This new result comes from the construction algorithm of the value set and the zero exclusion principle.","PeriodicalId":158186,"journal":{"name":"2009 2nd International Symposium on Resilient Control Systems","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Extreme point result for robust stability of interval polynomials to the special left sector\",\"authors\":\"H. Kang, H. Kang\",\"doi\":\"10.1109/ISRCS.2009.5252518\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider robust stability of interval polynomials of which stability region is the special left sector. The argument of the boundary of the special left sector is expressible as an irrational number multiplied by the circle ratio. We show that a family of interval polynomials is robustly stable if and only if a small set of vertex polynomials are robustly stable. This new result comes from the construction algorithm of the value set and the zero exclusion principle.\",\"PeriodicalId\":158186,\"journal\":{\"name\":\"2009 2nd International Symposium on Resilient Control Systems\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-09-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 2nd International Symposium on Resilient Control Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISRCS.2009.5252518\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 2nd International Symposium on Resilient Control Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISRCS.2009.5252518","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Extreme point result for robust stability of interval polynomials to the special left sector
In this paper, we consider robust stability of interval polynomials of which stability region is the special left sector. The argument of the boundary of the special left sector is expressible as an irrational number multiplied by the circle ratio. We show that a family of interval polynomials is robustly stable if and only if a small set of vertex polynomials are robustly stable. This new result comes from the construction algorithm of the value set and the zero exclusion principle.
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