{"title":"离散区间系统的多点Pade逼近","authors":"O. Ismail","doi":"10.1109/SSST.1996.493555","DOIUrl":null,"url":null,"abstract":"This paper presents multipoint Pade approximation for discrete interval systems. The numerator and denominator of the reduced model are obtained such that G/sub m/(z) to be a Pade approximant of G/sub s/(z), about 2r points. The expansion points used in the approximation could be a mixture of real, imaginary, complex and multiple points, many of the computational difficulties for such a combination of points are eliminated by this method. Numerical examples illustrate the procedure.","PeriodicalId":135973,"journal":{"name":"Proceedings of 28th Southeastern Symposium on System Theory","volume":"25 6","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1996-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"22","resultStr":"{\"title\":\"On multipoint Pade approximation for discrete interval systems\",\"authors\":\"O. Ismail\",\"doi\":\"10.1109/SSST.1996.493555\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents multipoint Pade approximation for discrete interval systems. The numerator and denominator of the reduced model are obtained such that G/sub m/(z) to be a Pade approximant of G/sub s/(z), about 2r points. The expansion points used in the approximation could be a mixture of real, imaginary, complex and multiple points, many of the computational difficulties for such a combination of points are eliminated by this method. Numerical examples illustrate the procedure.\",\"PeriodicalId\":135973,\"journal\":{\"name\":\"Proceedings of 28th Southeastern Symposium on System Theory\",\"volume\":\"25 6\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-03-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"22\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 28th Southeastern Symposium on System Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SSST.1996.493555\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 28th Southeastern Symposium on System Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SSST.1996.493555","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On multipoint Pade approximation for discrete interval systems
This paper presents multipoint Pade approximation for discrete interval systems. The numerator and denominator of the reduced model are obtained such that G/sub m/(z) to be a Pade approximant of G/sub s/(z), about 2r points. The expansion points used in the approximation could be a mixture of real, imaginary, complex and multiple points, many of the computational difficulties for such a combination of points are eliminated by this method. Numerical examples illustrate the procedure.