{"title":"Dynamical Boundary Control of Two-Dimensional Wave Equations: Vibrating Membrane on General Domain","authors":"Y. You, E. Lee","doi":"10.23919/ACC.1988.4790110","DOIUrl":null,"url":null,"abstract":"Dynamical control from the boundary of a vibrating membrane with edge mass and of general shape is mathematically formulated as an abstract evolutionary-system. The approximate controllability and the strong stabilization via linear boundary damping feedback are established by an approach based on LaSalle's invariance principle and global Holmgren uniqueness theorem.","PeriodicalId":6395,"journal":{"name":"1988 American Control Conference","volume":"44 1","pages":"2312-2317"},"PeriodicalIF":0.0000,"publicationDate":"1988-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"1988 American Control Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/ACC.1988.4790110","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
Dynamical control from the boundary of a vibrating membrane with edge mass and of general shape is mathematically formulated as an abstract evolutionary-system. The approximate controllability and the strong stabilization via linear boundary damping feedback are established by an approach based on LaSalle's invariance principle and global Holmgren uniqueness theorem.
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