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Turnpike Theory of Continuous-Time Linear Optimal Control Problems - Anouk M. Rijs
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Turnpike Theory of Continuous-Time Linear Optimal Control Problems - neues Buch

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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 ph… Mehr…

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Turnpike Theory of Continuous-Time Linear Optimal Control Problems (Springer Optimization and Its Applications Book 104) - Zaslavski, Alexander J.
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Zaslavski, Alexander J.:

Turnpike Theory of Continuous-Time Linear Optimal Control Problems (Springer Optimization and Its Applications Book 104) - neues Buch

2015, ISBN: 9783319191416

Springer, Kindle Edition, Auflage: 2015, 305 Seiten, Publiziert: 2015-07-01T00:00:00.000Z, Produktgruppe: Digital Ebook Purchas, Operational Research, Management, Business, Finance & Law,… Mehr…

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Turnpike Theory of Continuous-Time Linear Optimal Control Problems - Alexander J. Zaslavski
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Turnpike Theory of Continuous-Time Linear Optimal Control Problems - neues Buch

ISBN: 9783319191416

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 ph… Mehr…

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Turnpike Theory of Continuous-Time Linear Optimal Control Problems - Alexander J. Zaslavski
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Turnpike Theory of Continuous-Time Linear Optimal Control Problems - neues Buch

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Turnpike Theory of Continuous-Time Linear Optimal Control Problems - Alexander J. Zaslavski
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Alexander J. Zaslavski:
Turnpike Theory of Continuous-Time Linear Optimal Control Problems - neues Buch

2015, ISBN: 9783319191416

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Details zum Buch

Detailangaben zum Buch - Turnpike Theory of Continuous-Time Linear Optimal Control Problems


EAN (ISBN-13): 9783319191416
ISBN (ISBN-10): 3319191411
Erscheinungsjahr: 2015
Herausgeber: Springer International Publishing

Buch in der Datenbank seit 2016-02-10T14:53:28+01:00 (Berlin)
Detailseite zuletzt geändert am 2022-10-16T15:46:06+02:00 (Berlin)
ISBN/EAN: 9783319191416

ISBN - alternative Schreibweisen:
3-319-19141-1, 978-3-319-19141-6
Alternative Schreibweisen und verwandte Suchbegriffe:
Titel des Buches: optimal control theory, some problems about time, linear theory


Daten vom Verlag:

Autor/in: Alexander J. Zaslavski
Titel: Springer Optimization and Its Applications; Turnpike Theory of Continuous-Time Linear Optimal Control Problems
Verlag: Springer; Springer International Publishing
296 Seiten
Erscheinungsjahr: 2015-07-01
Cham; CH
Sprache: Englisch
53,49 € (DE)
55,00 € (AT)
59,00 CHF (CH)
Available
IX, 296 p.

EA; E107; eBook; Nonbooks, PBS / Mathematik/Sonstiges; Optimierung; Verstehen; Baire approach; applied functional analysis; linear control problems; nonautonomous continuous integrand; stability properties; B; Calculus of Variations and Optimization; Operations Research, Management Science; Game Theory; Mathematics and Statistics; Unternehmensforschung; Spieltheorie; BB

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 convex smooth 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.

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.

“The monograph is designed to be useful to specialists, being especially well suited for researchers interested in the latest advances in turnpike theory. One of the main features of the book is that it collects together, in a unified way, results of the author published elsewhere, and uses standard notation.” (Juan Pablo Rincón Zapatero, Mathematical Reviews, April, 2016)

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.


Establishes turnpike properties for linear optimal control problems with non convex integrands and of approximate solutions for zero-sum continuous-time games with two players Shows the stability of the turnpike phenomenon for linear optimal control problems Obtains the description of solutions in the regions close to the endpoints of the time intervals Includes supplementary material: sn.pub/extras

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