具有无限迭代对数的半线性波动方程的可控性

Q4 Engineering

Control and Cybernetics Pub Date : 2002-04-01 DOI:10.3934/DCDS.2002.8.747

P. Cannarsa, V. Komornik, P. Loreti

{"title":"具有无限迭代对数的半线性波动方程的可控性","authors":"P. Cannarsa, V. Komornik, P. Loreti","doi":"10.3934/DCDS.2002.8.747","DOIUrl":null,"url":null,"abstract":"In two previous works we improved some earlier results of Imanuvilov, Li \nand Zhang, and of Zuazua on the boundary exact controllability of one-dimensional \nsemilinear wave equations by weakening the growth assumptions on the nonlinearity. \nOur growth assumption is in a sense optimal. Here we adapt our method for the case \nof one-sided control actions. This also enables us to obtain rather general internal \ncontrollability results.","PeriodicalId":55209,"journal":{"name":"Control and Cybernetics","volume":"28 1","pages":"449-461"},"PeriodicalIF":0.0000,"publicationDate":"2002-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.3934/DCDS.2002.8.747","citationCount":"24","resultStr":"{\"title\":\"Controllability of semilinear wave equations with infinitely iterated logarithms\",\"authors\":\"P. Cannarsa, V. Komornik, P. Loreti\",\"doi\":\"10.3934/DCDS.2002.8.747\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In two previous works we improved some earlier results of Imanuvilov, Li \\nand Zhang, and of Zuazua on the boundary exact controllability of one-dimensional \\nsemilinear wave equations by weakening the growth assumptions on the nonlinearity. \\nOur growth assumption is in a sense optimal. Here we adapt our method for the case \\nof one-sided control actions. This also enables us to obtain rather general internal \\ncontrollability results.\",\"PeriodicalId\":55209,\"journal\":{\"name\":\"Control and Cybernetics\",\"volume\":\"28 1\",\"pages\":\"449-461\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2002-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.3934/DCDS.2002.8.747\",\"citationCount\":\"24\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Control and Cybernetics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3934/DCDS.2002.8.747\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Control and Cybernetics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3934/DCDS.2002.8.747","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Engineering","Score":null,"Total":0}

引用次数: 24

摘要

在前两篇文章中，我们通过弱化非线性的增长假设，改进了Imanuvilov、Li和Zhang以及Zuazua关于一维半线性波动方程边界精确可控性的一些早期结果。我们的增长假设在某种意义上是最优的。在这里，我们对单侧控制动作的情况调整了我们的方法。这也使我们能够获得相当一般的内部可控性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Controllability of semilinear wave equations with infinitely iterated logarithms

In two previous works we improved some earlier results of Imanuvilov, Li and Zhang, and of Zuazua on the boundary exact controllability of one-dimensional semilinear wave equations by weakening the growth assumptions on the nonlinearity. Our growth assumption is in a sense optimal. Here we adapt our method for the case of one-sided control actions. This also enables us to obtain rather general internal controllability results.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Control and Cybernetics 工程技术-计算机：控制论

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The field of interest covers general concepts, theories, methods and techniques associated with analysis, modelling, control and management in various systems (e.g. technological, economic, ecological, social). The journal is particularly interested in results in the following areas of research: Systems and control theory: general systems theory, optimal cotrol, optimization theory, data analysis, learning, artificial intelligence, modelling & identification, game theory, multicriteria optimisation, decision and negotiation methods, soft approaches: stochastic and fuzzy methods, computer science,