Time Optimal Control of Evolution Equations: 92 - Rilegato

Wang, Gengsheng; Zhang, Yubiao; Wang, Lijuan; Xu, Yashan

Rilegato

ISBN 10: 3319953621 ISBN 13: 9783319953625

Casa editrice: Birkhauser, 2018

Riassunto

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 principle for 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 related areas of controllability and dynamic programming. For ease of reference, the text itself is self-contained on the topic of time-optimal control. Frequent examples throughout clarify the applications of theorems and definitions, although experience with functional analysis and differential equations will be useful.

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Informazioni sull?autore

Gengsheng Wang is a professor at the Center for Applied Mathematics at Tianjin University. 

Lijuan Wang is a professor at Wuhan University's School of Matheamtics and Statistics.

Yashan Xu is a professor at the School of Mathematical University at Fudan University. 

Yubiao Zhang is a professor at the Center for Applied Mathematics at Tianjin University.

Dalla quarta di copertina

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 principle for 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 related areas of controllability and dynamic programming. For ease of reference, the text itself is self-contained on the topic of time-optimal control. Frequent examples throughout clarify the applications of theorems and definitions, although experience with functional analysis and differential equations will be useful.

Dettagli dell'edizione

• Editore: Birkhauser
• Data di pubblicazione: 2018
• Lingua: Inglese
• ISBN 10: 3319953621
• ISBN 13: 9783319953625
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 352
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Germania