{"title":"Analytic constraints in feedback control of linear time-varying systems: Bode's sensitivity integral","authors":"P. Iglesias","doi":"10.1109/ACC.1999.786218","DOIUrl":null,"url":null,"abstract":"In this paper it is shown how Bode's integral has a natural generalization for time-varying systems which possess an exponential dichotomy. Moreover, the sensitivity function is constrained, on average, by the lower Bohl and Lyapunov exponents of the open-loop system. These take the place of the magnitude of the open-loop poles. The analysis is carried out for discrete-time systems.","PeriodicalId":441363,"journal":{"name":"Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251)","volume":"33 23","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACC.1999.786218","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper it is shown how Bode's integral has a natural generalization for time-varying systems which possess an exponential dichotomy. Moreover, the sensitivity function is constrained, on average, by the lower Bohl and Lyapunov exponents of the open-loop system. These take the place of the magnitude of the open-loop poles. The analysis is carried out for discrete-time systems.
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