{"title":"利用Kharitonov多项式的区间系统约简","authors":"B. Bandyopadhyay, H. Unbehauen","doi":"10.23919/ECC.1999.7099886","DOIUrl":null,"url":null,"abstract":"This paper presents a method of reduction for interval system. The denominator of the reduced model is obtained by using the concept of interlacing property of even and odd polynomials of the system denominator. The numerator of the reduced model is obtained by matching interval time moments. A numerical example illustrates the procedure.","PeriodicalId":117668,"journal":{"name":"1999 European Control Conference (ECC)","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Interval system reduction using Kharitonov polynomials\",\"authors\":\"B. Bandyopadhyay, H. Unbehauen\",\"doi\":\"10.23919/ECC.1999.7099886\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents a method of reduction for interval system. The denominator of the reduced model is obtained by using the concept of interlacing property of even and odd polynomials of the system denominator. The numerator of the reduced model is obtained by matching interval time moments. A numerical example illustrates the procedure.\",\"PeriodicalId\":117668,\"journal\":{\"name\":\"1999 European Control Conference (ECC)\",\"volume\":\"27 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1999 European Control Conference (ECC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23919/ECC.1999.7099886\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1999 European Control Conference (ECC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/ECC.1999.7099886","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Interval system reduction using Kharitonov polynomials
This paper presents a method of reduction for interval system. The denominator of the reduced model is obtained by using the concept of interlacing property of even and odd polynomials of the system denominator. The numerator of the reduced model is obtained by matching interval time moments. A numerical example illustrates the procedure.