國立高雄大學圖資館 |

Language: English

Back

Turnpike theory of continuous-time l...

SpringerLink (Online service)

Turnpike theory of continuous-time linear optimal control problems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Turnpike theory of continuous-time linear optimal control problemsby Alexander J. Zaslavski.
Author:	Zaslavski, Alexander J.
Published:	Cham :Springer International Publishing :2015.
Description:	ix, 296 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Mathematical optimization.
Online resource:	http://dx.doi.org/10.1007/978-3-319-19141-6
ISBN:	9783319191416 (electronic bk.)

Turnpike theory of continuous-time linear optimal control problems
Zaslavski, Alexander J.

Turnpike theory of continuous-time linear optimal control problems[electronic resource] /by Alexander J. Zaslavski. - Cham :Springer International Publishing :2015. - ix, 296 p. :ill., digital ;24 cm. - Springer optimization and its applications,v.1041931-6828 ;. - Springer optimization and its applications ;v. 3..

Preface -- 1. Introduction -- 2. Control systems with periodic convex integrands -- 3. Control systems with non convex integrands -- 4. Stability properties -- 5. Linear control systems with discounting -- 6. Dynamic zero-sum games with linear constraints -- 7. Genericity results -- 8. Variational problems with extended-value integrands -- 9. Dynamic games with extended-valued integrands -- References -- Index.

Individual turnpike results are of great interest due to their numerous applications in engineering and in economic theory; in this book the study is focused on new results of turnpike phenomenon in linear optimal control problems. The book is intended for engineers as well as for mathematicians interested in the calculus of variations, optimal control, and in applied functional analysis. Two large classes of problems are studied in more depth. The first class studied in Chapter 2 consists of linear control problems with periodic nonsmooth convex integrands. Chapters 3-5 consist of linear control problems with autonomous nonconvex and nonsmooth integrands. Chapter 6 discusses a turnpike property for dynamic zero-sum games with linear constraints. Chapter 7 examines genericity results. In Chapter 8, the description of structure of variational problems with extended-valued integrands is obtained. Chapter 9 ends the exposition with a study of turnpike phenomenon for dynamic games with extended value integrands.

ISBN: 9783319191416 (electronic bk.)

Standard No.: 10.1007/978-3-319-19141-6doiSubjects--Topical Terms:

183292
Mathematical optimization.

LC Class. No.: QA402.5

Dewey Class. No.: 519.6

Turnpike theory of continuous-time linear optimal control problems
LDR:02531nmm a2200349 a 4500 001 472796
003 DE-He213
005 20160223135535.0
006 m d
007 cr nn 008maaau
008 160316s2015 gw s 0 eng d
020 $a 9783319191416 (electronic bk.)
020 $a 9783319191409 (paper)
024 7 $a 10.1007/978-3-319-19141-6 $2 doi
035 $a 978-3-319-19141-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA402.5
072 7 $a PBKQ $2 bicssc
072 7 $a PBU $2 bicssc
072 7 $a MAT005000 $2 bisacsh
072 7 $a MAT029020 $2 bisacsh
082 0 4 $a 519.6 $2 23
090 $a QA402.5 $b .Z38 2015
100 1 $a Zaslavski, Alexander J. $3 261260
245 1 0 $a Turnpike theory of continuous-time linear optimal control problems $h [electronic resource] / $c by Alexander J. Zaslavski.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a ix, 296 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer optimization and its applications, $x 1931-6828 ; $v v.104
505 0 $a Preface -- 1. Introduction -- 2. Control systems with periodic convex integrands -- 3. Control systems with non convex integrands -- 4. Stability properties -- 5. Linear control systems with discounting -- 6. Dynamic zero-sum games with linear constraints -- 7. Genericity results -- 8. Variational problems with extended-value integrands -- 9. Dynamic games with extended-valued integrands -- References -- Index.
520 $a Individual turnpike results are of great interest due to their numerous applications in engineering and in economic theory; in this book the study is focused on new results of turnpike phenomenon in linear optimal control problems. The book is intended for engineers as well as for mathematicians interested in the calculus of variations, optimal control, and in applied functional analysis. Two large classes of problems are studied in more depth. The first class studied in Chapter 2 consists of linear control problems with periodic nonsmooth convex integrands. Chapters 3-5 consist of linear control problems with autonomous nonconvex and nonsmooth integrands. Chapter 6 discusses a turnpike property for dynamic zero-sum games with linear constraints. Chapter 7 examines genericity results. In Chapter 8, the description of structure of variational problems with extended-valued integrands is obtained. Chapter 9 ends the exposition with a study of turnpike phenomenon for dynamic games with extended value integrands.
650 0 $a Mathematical optimization. $3 183292
650 0 $a Linear control systems. $3 237159
650 0 $a Turnpike theory (Economics) $3 696689
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 274198
650 2 4 $a Operations Research, Management Science. $3 511451
650 2 4 $a Game Theory, Economics, Social and Behav. Sciences. $3 274083
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Springer optimization and its applications ; $v v. 3. $3 440366
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-19141-6
950 $a Mathematics and Statistics (Springer-11649)