語系:
繁體中文
English
說明(常見問題)
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Time optimal control of evolution eq...
~
Wang, Gengsheng.
Time optimal control of evolution equations
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Time optimal control of evolution equations/ by Gengsheng Wang ... [et al.].
其他作者:
Wang, Gengsheng.
出版者:
Cham :Springer International Publishing : : 2018.,
面頁冊數:
xvi, 334 p. :ill., digital ; : 24 cm.;
Contained By:
Springer eBooks
標題:
Evolution equations. -
電子資源:
http://dx.doi.org/10.1007/978-3-319-95363-2
ISBN:
9783319953632
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
Standard No.: 10.1007/978-3-319-95363-2doiSubjects--Topical Terms:
679110
Evolution equations.
LC Class. No.: QA377.3
Dewey Class. No.: 515.35
Time optimal control of evolution equations
LDR
:02865nam a2200337 a 4500
001
928630
003
DE-He213
005
20190304093933.0
006
m d
007
cr nn 008maaau
008
190626s2018 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 :
$c
2018.
$b
Springer International Publishing :
$b
Imprint: Birkhauser,
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
679110
650
0
$a
Control theory.
$3
527674
650
1 4
$a
Mathematics.
$3
527692
650
2 4
$a
Systems Theory, Control.
$3
669337
650
2 4
$a
Control.
$3
782232
650
2 4
$a
Engineering Mathematics.
$3
1203947
700
1
$a
Wang, Gengsheng.
$3
1117537
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer eBooks
830
0
$a
Progress in nonlinear differential equations and their applications ;
$v
v.83.
$3
888907
856
4 0
$u
http://dx.doi.org/10.1007/978-3-319-95363-2
950
$a
Mathematics and Statistics (Springer-11649)
筆 0 讀者評論
多媒體
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼[密碼必須為2種組合(英文和數字)及長度為10碼以上]
登入