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Turnpike theory of continuous-time linear optimal control problems[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	519.6
書名/作者:	Turnpike theory of continuous-time linear optimal control problems/ by Alexander J. Zaslavski.
作者:	Zaslavski, Alexander J.
出版者:	Cham : : Springer International Publishing :, 2015.
面頁冊數:	ix, 296 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Mathematical optimization.
標題:	Linear control systems.
標題:	Turnpike theory (Economics)
標題:	Mathematics.
標題:	Calculus of Variations and Optimal Control; Optimization.
標題:	Operations Research, Management Science.
標題:	Game Theory, Economics, Social and Behav. Sciences.
ISBN:	9783319191416 (electronic bk.)
ISBN:	9783319191409 (paper)
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-19141-6

Turnpike theory of continuous-time linear optimal control problems[electronic resource] /
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.52..

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:

176332
Mathematical optimization.

LC Class. No.: QA402.5

Dewey Class. No.: 519.6

Turnpike theory of continuous-time linear optimal control problems[electronic resource] /
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