{"title":"结构化线性不确定系统约简","authors":"O. Ismail, J. M. Jahabar","doi":"10.1109/SSST.1996.493553","DOIUrl":null,"url":null,"abstract":"In this paper a method for structured linear uncertain system reduction is presented. The reduced model is obtained by retaining [/spl beta//sub 1//sup -/, /spl beta//sub 1//sup +/] and [/spl alpha//sub 1//sup -/, /spl alpha//sub 1//sup +/] (for the steady state of reduced model and original system be equal) along with [/spl beta//sub 1//sup -/, /spl beta//sub 1//sup +/] and [/spl alpha//sub 1//sup -/, /spl alpha//sub 1//sup +/] for (i=2, 3, ..., r-1) which are contributing most to impulse response energy [I/sub s//sup -/, I/sub s//sup +/]. A numerical example illustrates the procedure.","PeriodicalId":135973,"journal":{"name":"Proceedings of 28th Southeastern Symposium on System Theory","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1996-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Structured linear uncertain systems reduction\",\"authors\":\"O. Ismail, J. M. Jahabar\",\"doi\":\"10.1109/SSST.1996.493553\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper a method for structured linear uncertain system reduction is presented. The reduced model is obtained by retaining [/spl beta//sub 1//sup -/, /spl beta//sub 1//sup +/] and [/spl alpha//sub 1//sup -/, /spl alpha//sub 1//sup +/] (for the steady state of reduced model and original system be equal) along with [/spl beta//sub 1//sup -/, /spl beta//sub 1//sup +/] and [/spl alpha//sub 1//sup -/, /spl alpha//sub 1//sup +/] for (i=2, 3, ..., r-1) which are contributing most to impulse response energy [I/sub s//sup -/, I/sub s//sup +/]. A numerical example illustrates the procedure.\",\"PeriodicalId\":135973,\"journal\":{\"name\":\"Proceedings of 28th Southeastern Symposium on System Theory\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-03-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 28th Southeastern Symposium on System Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SSST.1996.493553\",\"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.1996.493553","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper a method for structured linear uncertain system reduction is presented. The reduced model is obtained by retaining [/spl beta//sub 1//sup -/, /spl beta//sub 1//sup +/] and [/spl alpha//sub 1//sup -/, /spl alpha//sub 1//sup +/] (for the steady state of reduced model and original system be equal) along with [/spl beta//sub 1//sup -/, /spl beta//sub 1//sup +/] and [/spl alpha//sub 1//sup -/, /spl alpha//sub 1//sup +/] for (i=2, 3, ..., r-1) which are contributing most to impulse response energy [I/sub s//sup -/, I/sub s//sup +/]. A numerical example illustrates the procedure.