國立高雄大學圖資館 |

Language: English

Back

Time optimal control of evolution eq...

SpringerLink (Online service)

Time optimal control of evolution equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Time optimal control of evolution equationsby Gengsheng Wang ... [et al.].
other author:	Wang, Gengsheng.
Published:	Cham :Springer International Publishing :2018.
Description:	xvi, 334 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Evolution equations.
Online resource:	http://dx.doi.org/10.1007/978-3-319-95363-2
ISBN:	9783319953632$q(electronic bk.)

Time optimal control of evolution equations
Time optimal control of evolution equations[electronic resource] /by Gengsheng Wang ... [et al.]. - Cham :Springer International Publishing :2018. - xvi, 334 p. :ill., digital ;24 cm. - Progress in nonlinear differential equations and their applications,v.921421-1750 ;. - Progress in nonlinear differential equations and their applications ;v.83..

Preface -- Mathematical Preliminaries -- Time Optimal Control Problems -- Existence of Admissible Groups and Optimal Groups -- Maximum Principle of Optimal Groups -- Equivalence of Several Kinds of Optimal Controls -- Bang-Bang Properties of Optimal Groups -- References.

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.

ISBN: 9783319953632$q(electronic bk.)

Standard No.: 10.1007/978-3-319-95363-2doiSubjects--Topical Terms:

199049
Evolution equations.

LC Class. No.: QA377.3

Dewey Class. No.: 515.35

Time optimal control of evolution equations
LDR:02865nmm a2200337 a 4500 001 543978
003 DE-He213
005 20190304093933.0
006 m d
007 cr nn 008maaau
008 190430s2018 gw s 0 eng d
020 $a 9783319953632$q(electronic bk.)
020 $a 9783319953625$q(paper)
024 7 $a 10.1007/978-3-319-95363-2 $2 doi
035 $a 978-3-319-95363-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA377.3
072 7 $a GPFC $2 bicssc
072 7 $a SCI064000 $2 bisacsh
072 7 $a TEC004000 $2 bisacsh
082 0 4 $a 515.35 $2 23
090 $a QA377.3 $b .T583 2018
245 0 0 $a Time optimal control of evolution equations $h [electronic resource] / $c by Gengsheng Wang ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2018.
300 $a xvi, 334 p. : $b ill., digital ; $c 24 cm.
490 1 $a Progress in nonlinear differential equations and their applications, $x 1421-1750 ; $v v.92
505 0 $a Preface -- Mathematical Preliminaries -- Time Optimal Control Problems -- Existence of Admissible Groups and Optimal Groups -- Maximum Principle of Optimal Groups -- Equivalence of Several Kinds of Optimal Controls -- Bang-Bang Properties of Optimal Groups -- References.
520 $a 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.
650 0 $a Evolution equations. $3 199049
650 0 $a Control theory. $3 182248
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Systems Theory, Control. $3 274654
650 2 4 $a Control. $3 349080
650 2 4 $a Engineering Mathematics. $3 806481
700 1 $a Wang, Gengsheng. $3 766744
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Progress in nonlinear differential equations and their applications ; $v v.83. $3 558793
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-95363-2
950 $a Mathematics and Statistics (Springer-11649)