{"title":"Finite/Fixed-Time Homogeneous Stabilization of Infinite Dimensional Systems","authors":"Andrey Polyakov;Yury Orlov","doi":"10.1109/TAC.2024.3490989","DOIUrl":null,"url":null,"abstract":"Finite/fixed-time control design procedure is developed for an infinite dimensional system modeled by abstract evolution equation in a Hilbert space. It is based on solving certain operator equations and inequalities. For a class of partial differential equation (PDE) models, the corresponding equations/inequalities are shown to be algebraic and solvable in many cases. Theoretical results are supported by examples of controlled PDE models.","PeriodicalId":13201,"journal":{"name":"IEEE Transactions on Automatic Control","volume":"70 4","pages":"2560-2567"},"PeriodicalIF":7.0000,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Automatic Control","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/10742482/","RegionNum":1,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
Finite/fixed-time control design procedure is developed for an infinite dimensional system modeled by abstract evolution equation in a Hilbert space. It is based on solving certain operator equations and inequalities. For a class of partial differential equation (PDE) models, the corresponding equations/inequalities are shown to be algebraic and solvable in many cases. Theoretical results are supported by examples of controlled PDE models.
期刊介绍：
In the IEEE Transactions on Automatic Control, the IEEE Control Systems Society publishes high-quality papers on the theory, design, and applications of control engineering. Two types of contributions are regularly considered:
1) Papers: Presentation of significant research, development, or application of control concepts.
2) Technical Notes and Correspondence: Brief technical notes, comments on published areas or established control topics, corrections to papers and notes published in the Transactions.
In addition, special papers (tutorials, surveys, and perspectives on the theory and applications of control systems topics) are solicited.
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