{"title":"无限维系统的近似","authors":"G. Gu, P. Khargonekar, E.B. Lee","doi":"10.1109/CDC.1988.194461","DOIUrl":null,"url":null,"abstract":"The approximation of infinite-dimensional system models was studied using a Fourier transform technique. Convergence conditions were established and a frequency-response error bound in terms of the H/sup infinity / norm derived. The approximate model can be directly computed using an FFT-type algorithm. Examples are given to illustrate the technique.<<ETX>>","PeriodicalId":113534,"journal":{"name":"Proceedings of the 27th IEEE Conference on Decision and Control","volume":"114 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1988-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Approximation of infinite dimensional systems\",\"authors\":\"G. Gu, P. Khargonekar, E.B. Lee\",\"doi\":\"10.1109/CDC.1988.194461\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The approximation of infinite-dimensional system models was studied using a Fourier transform technique. Convergence conditions were established and a frequency-response error bound in terms of the H/sup infinity / norm derived. The approximate model can be directly computed using an FFT-type algorithm. Examples are given to illustrate the technique.<<ETX>>\",\"PeriodicalId\":113534,\"journal\":{\"name\":\"Proceedings of the 27th IEEE Conference on Decision and Control\",\"volume\":\"114 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1988-12-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 27th IEEE Conference on Decision and Control\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1988.194461\",\"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 the 27th IEEE Conference on Decision and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1988.194461","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The approximation of infinite-dimensional system models was studied using a Fourier transform technique. Convergence conditions were established and a frequency-response error bound in terms of the H/sup infinity / norm derived. The approximate model can be directly computed using an FFT-type algorithm. Examples are given to illustrate the technique.<>