{"title":"关于离散内外分解和谱分解","authors":"C. Chu","doi":"10.1109/ACC.1988.4173017","DOIUrl":null,"url":null,"abstract":"In this paper, reliable algorithms are developed to perform inner-outer, coprime, and spectral factorizations for discrete FDLTI systems. It is shown that the discrete algebraic Riccati equation plays an important role in obtaining state-space representations for all key factorizations. The implementation of algorithms can be carried out efficiently using real matrix operations.","PeriodicalId":6395,"journal":{"name":"1988 American Control Conference","volume":"13 1","pages":"1699-1700"},"PeriodicalIF":0.0000,"publicationDate":"1988-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"18","resultStr":"{\"title\":\"On Discrete Inner-Outer and Spectral Factorizations\",\"authors\":\"C. Chu\",\"doi\":\"10.1109/ACC.1988.4173017\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, reliable algorithms are developed to perform inner-outer, coprime, and spectral factorizations for discrete FDLTI systems. It is shown that the discrete algebraic Riccati equation plays an important role in obtaining state-space representations for all key factorizations. The implementation of algorithms can be carried out efficiently using real matrix operations.\",\"PeriodicalId\":6395,\"journal\":{\"name\":\"1988 American Control Conference\",\"volume\":\"13 1\",\"pages\":\"1699-1700\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1988-06-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"18\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1988 American Control Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ACC.1988.4173017\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1988 American Control Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACC.1988.4173017","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Discrete Inner-Outer and Spectral Factorizations
In this paper, reliable algorithms are developed to perform inner-outer, coprime, and spectral factorizations for discrete FDLTI systems. It is shown that the discrete algebraic Riccati equation plays an important role in obtaining state-space representations for all key factorizations. The implementation of algorithms can be carried out efficiently using real matrix operations.
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