{"title":"Enhanced Conditions in Design of Linear Discrete-time Positive System Control","authors":"D. Krokavec, A. Filasová","doi":"10.1109/CoDIT.2018.8394786","DOIUrl":null,"url":null,"abstract":"The linear matrix inequalities approach is proposed to discrete-time linear positive system control design, reflecting enhanced and D-stability region approaches. Coupling together the set of linear matrix inequalities warranting the system positive structure and the structure guaranteing circle D-stability, the design conditions are outlined to raise the positive closed-loop system, considering a nonnegative control gain matrix. Some related properties are deduced to demonstrate diagonal stabilizability of the positive systems.","PeriodicalId":128011,"journal":{"name":"2018 5th International Conference on Control, Decision and Information Technologies (CoDIT)","volume":"3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 5th International Conference on Control, Decision and Information Technologies (CoDIT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CoDIT.2018.8394786","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
The linear matrix inequalities approach is proposed to discrete-time linear positive system control design, reflecting enhanced and D-stability region approaches. Coupling together the set of linear matrix inequalities warranting the system positive structure and the structure guaranteing circle D-stability, the design conditions are outlined to raise the positive closed-loop system, considering a nonnegative control gain matrix. Some related properties are deduced to demonstrate diagonal stabilizability of the positive systems.
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