{"title":"阻尼线性弦的有界输入有界输出稳定性","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":"{\"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}","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}
Bounded-Input Bounded-Output Stability of Damped Linear Strings
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.