| 書目名稱 | Time Optimal Control of Evolution Equations | | 編輯 | Gengsheng Wang,Lijuan Wang,Yubiao Zhang | | 視頻video | http://file.papertrans.cn/926/925420/925420.mp4 | | 概述 | Unifies recent results in time-optimal control into a new framework for minimal and maximal time-optimal control problems.Introduces three different types of Pontryagin’s maximum principles from geome | | 叢書名稱 | Progress in Nonlinear Differential Equations and Their Applications | | 圖書封面 |  | | 描述 | .This monograph develops a framework for time-optimal control problems, focusing on minimal and maximal time-optimal controls for linear-controlled evolution equations. Its use in optimal control provides a welcome update to Fattorini’s work on time-optimal and norm-optimal control problems. By discussing the best way of representing various control problems and equivalence among them, this systematic study gives readers the tools they need to solve practical problems in control.?.After introducing preliminaries in functional analysis, evolution equations, and controllability and observability estimates, the authors present their time-optimal control framework, which consists of four elements: a controlled system, a control constraint set, a starting set, and an ending set. From there, they use their framework to address areas of recent development in time-optimal control, including the existence of admissible controls and optimal controls, Pontryagin’s maximum principlefor optimal controls,? the equivalence of different optimal control problems, and bang-bang properties..This monograph will appeal to researchers and graduate students in time-optimal control theory, as well as rela | | 出版日期 | Book 2018 | | 關(guān)鍵詞 | time optimal controls; linear evolution equations; bang-bang properties of optimal groups; the Cauchy p | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-95363-2 | | isbn_softcover | 978-3-030-07021-2 | | isbn_ebook | 978-3-319-95363-2Series ISSN 1421-1750 Series E-ISSN 2374-0280 | | issn_series | 1421-1750 | | copyright | Springer International Publishing AG, part of Springer Nature 2018 |
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