{"title":"不稳定系统的L∞范数常数逼近","authors":"D. Kavranoğlu, M. Bettayeb","doi":"10.23919/ACC.1993.4793261","DOIUrl":null,"url":null,"abstract":"The zeroth order optimal L<sub>∞</sub> approximation of unstable linear time invariant systems is studied in this paper. A suboptimal computational scheme, based on balanced realization for unstable systems, is developed, and corresponding error bound is obtained. Also, an L<sub>∞</sub> error bound for unstable systems is derived.","PeriodicalId":162700,"journal":{"name":"1993 American Control Conference","volume":"106 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"L∞ norm constant approximation of unstable systems\",\"authors\":\"D. Kavranoğlu, M. Bettayeb\",\"doi\":\"10.23919/ACC.1993.4793261\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The zeroth order optimal L<sub>∞</sub> approximation of unstable linear time invariant systems is studied in this paper. A suboptimal computational scheme, based on balanced realization for unstable systems, is developed, and corresponding error bound is obtained. Also, an L<sub>∞</sub> error bound for unstable systems is derived.\",\"PeriodicalId\":162700,\"journal\":{\"name\":\"1993 American Control Conference\",\"volume\":\"106 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-06-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1993 American Control Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23919/ACC.1993.4793261\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1993 American Control Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/ACC.1993.4793261","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
L∞ norm constant approximation of unstable systems
The zeroth order optimal L∞ approximation of unstable linear time invariant systems is studied in this paper. A suboptimal computational scheme, based on balanced realization for unstable systems, is developed, and corresponding error bound is obtained. Also, an L∞ error bound for unstable systems is derived.