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Time Optimal Control of Evolution Equations

Name: Time Optimal Control of Evolution Equations
Brand: Springer International Publishing
SKU: 24970736
Price: 34564 HUF
Availability: InStock
Author: Lijuan Wang
ISBN: 9783030070212

Lijuan Wang

Yashan Xu

Yubiao Zhang

Language

English

Book Paperback

Libristo code: 24970736

Publishers Springer International Publishing, December 2018

This monograph develops a framework for time-optimal control problems, focusing on minimal and maxim... Full description

Libristo code: 24970736

230 b

34 564 Ft

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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.