{"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}
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.
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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:
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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,
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