{"title":"Robust stability and adaptive control of time-varying neutral systems","authors":"Erik I. Verriest","doi":"10.1109/CDC.1999.833283","DOIUrl":null,"url":null,"abstract":"The Lyapunov-Krasovskii theory is extended to obtain sufficient conditions for the robust stability (independent of the delay) of linear neutral systems. Riccati-like equations are derived, relating the existence of a triple of positive definite matrices to the robust stability. By allowing time dependence of the delay itself, earlier results are extended. The approach is fruitful as it is readily adaptable to the design of stabilizability conditions under state and output feedback. As the existence proofs are constructive, they yield prescriptive stabilizing gains. An application to MRAC design for neutral systems is shown.","PeriodicalId":137513,"journal":{"name":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"16","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1999.833283","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 16
Abstract
The Lyapunov-Krasovskii theory is extended to obtain sufficient conditions for the robust stability (independent of the delay) of linear neutral systems. Riccati-like equations are derived, relating the existence of a triple of positive definite matrices to the robust stability. By allowing time dependence of the delay itself, earlier results are extended. The approach is fruitful as it is readily adaptable to the design of stabilizability conditions under state and output feedback. As the existence proofs are constructive, they yield prescriptive stabilizing gains. An application to MRAC design for neutral systems is shown.
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