{"title":"基于受限动态反馈的离散系统线性化算法","authors":"Hong-Gi Lee, A. Arapostathis, S. Marcus","doi":"10.1109/CDC.2003.1272799","DOIUrl":null,"url":null,"abstract":"We extend the results in [H.G. Lee, et al., 1987] to multi-input systems, and utilize these to obtain necessary and sufficient conditions for the linearization of discrete-time nonlinear systems via restricted dynamic feedback. An algorithm to synthesize the dynamic feedback is also presented. We observe that for discrete-time nonlinear systems, the bound on the number of delays (or integrators) needed to synthesize the linearizing dynamic feedback differs from the continuous-time analogue.","PeriodicalId":371853,"journal":{"name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","volume":"44 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"An algorithm for linearization of discrete-time systems via restricted dynamic feedback\",\"authors\":\"Hong-Gi Lee, A. Arapostathis, S. Marcus\",\"doi\":\"10.1109/CDC.2003.1272799\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We extend the results in [H.G. Lee, et al., 1987] to multi-input systems, and utilize these to obtain necessary and sufficient conditions for the linearization of discrete-time nonlinear systems via restricted dynamic feedback. An algorithm to synthesize the dynamic feedback is also presented. We observe that for discrete-time nonlinear systems, the bound on the number of delays (or integrators) needed to synthesize the linearizing dynamic feedback differs from the continuous-time analogue.\",\"PeriodicalId\":371853,\"journal\":{\"name\":\"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)\",\"volume\":\"44 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-12-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.2003.1272799\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.2003.1272799","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An algorithm for linearization of discrete-time systems via restricted dynamic feedback
We extend the results in [H.G. Lee, et al., 1987] to multi-input systems, and utilize these to obtain necessary and sufficient conditions for the linearization of discrete-time nonlinear systems via restricted dynamic feedback. An algorithm to synthesize the dynamic feedback is also presented. We observe that for discrete-time nonlinear systems, the bound on the number of delays (or integrators) needed to synthesize the linearizing dynamic feedback differs from the continuous-time analogue.