{"title":"波动方程的间歇稳定与控制","authors":"Patrick Martinez, Judith Vancostenoble","doi":"10.1016/S0764-4442(01)02128-0","DOIUrl":null,"url":null,"abstract":"<div><p>We study the stabilization of the one-dimensional wave equation with a boundary or locally distributed feedback that is positive-negative or on-off. We also give results of controllability in “arbitrarily short time” for the one-dimensional wave equation with a locally distributed control.</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 9","pages":"Pages 851-854"},"PeriodicalIF":0.0000,"publicationDate":"2001-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02128-0","citationCount":"1","resultStr":"{\"title\":\"Stabilisation et contrôle intermittent de l'équation des ondes\",\"authors\":\"Patrick Martinez, Judith Vancostenoble\",\"doi\":\"10.1016/S0764-4442(01)02128-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We study the stabilization of the one-dimensional wave equation with a boundary or locally distributed feedback that is positive-negative or on-off. We also give results of controllability in “arbitrarily short time” for the one-dimensional wave equation with a locally distributed control.</p></div>\",\"PeriodicalId\":100300,\"journal\":{\"name\":\"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics\",\"volume\":\"333 9\",\"pages\":\"Pages 851-854\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02128-0\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0764444201021280\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0764444201021280","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stabilisation et contrôle intermittent de l'équation des ondes
We study the stabilization of the one-dimensional wave equation with a boundary or locally distributed feedback that is positive-negative or on-off. We also give results of controllability in “arbitrarily short time” for the one-dimensional wave equation with a locally distributed control.
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