{"title":"Bounded-Input Bounded-Output Stability of Damped Linear Strings","authors":"S. Shahruz, A. Imam","doi":"10.1109/ACC.1993.4175888","DOIUrl":null,"url":null,"abstract":"In this note, we prove that the displacement of a linearly damped string under bounded distributed forces is bounded. The proof is achieved by showing that an energy-like (Lyapunov) function of the string is bounded.","PeriodicalId":162700,"journal":{"name":"1993 American Control Conference","volume":"30 5","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"1993 American Control Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACC.1993.4175888","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 note, we prove that the displacement of a linearly damped string under bounded distributed forces is bounded. The proof is achieved by showing that an energy-like (Lyapunov) function of the string is bounded.
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