{"title":"Rapid and finite-time boundary stabilization of a KdV system","authors":"Hoai-Minh Nguyen","doi":"arxiv-2409.11768","DOIUrl":null,"url":null,"abstract":"We construct a static feedback control in a trajectory sense and a dynamic\nfeedback control to obtain the local rapid boundary stabilization of a KdV\nsystem using Gramian operators. We also construct a time-varying feedback\ncontrol in the trajectory sense and a time varying dynamic feedback control to\nreach the local finite-time boundary stabilization for the same system.","PeriodicalId":501286,"journal":{"name":"arXiv - MATH - Optimization and Control","volume":"41 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Optimization and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.11768","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We construct a static feedback control in a trajectory sense and a dynamic
feedback control to obtain the local rapid boundary stabilization of a KdV
system using Gramian operators. We also construct a time-varying feedback
control in the trajectory sense and a time varying dynamic feedback control to
reach the local finite-time boundary stabilization for the same system.
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