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Turnpike conditions in infinite dime...

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Turnpike conditions in infinite dimensional optimal control

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Turnpike conditions in infinite dimensional optimal controlby Alexander J. Zaslavski.
作者:	Zaslavski, Alexander J.
出版者:	Cham :Springer International Publishing :2019.
面頁冊數:	x, 570 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Control theory.
電子資源:	https://doi.org/10.1007/978-3-030-20178-4
ISBN:	9783030201784$q(electronic bk.)

Turnpike conditions in infinite dimensional optimal control
Zaslavski, Alexander J.

Turnpike conditions in infinite dimensional optimal control[electronic resource] /by Alexander J. Zaslavski. - Cham :Springer International Publishing :2019. - x, 570 p. :ill., digital ;24 cm. - Springer optimization and its applications,v.1481931-6828 ;. - Springer optimization and its applications ;v. 3..

Preface -- 1. Introduction -- 2. Discrete-time autonomous problems -- 3. Discrete-time nonautonomous problems on half-axis -- 4. Discrete-time nonautonomous problems on axis -- 5. Continuous-time autonomous problems -- 6. Continuous-time nonautonomous problems on half-axis -- 7. Continuous-time nonautonomous problems on axis.

This book provides a comprehensive study of turnpike phenomenon arising in optimal control theory. The focus is on individual (non-generic) turnpike results which are both mathematically significant and have numerous applications in engineering and economic theory. All results obtained in the book are new. New approaches, techniques, and methods are rigorously presented and utilize research from finite-dimensional variational problems and discrete-time optimal control problems to find the necessary conditions for the turnpike phenomenon in infinite dimensional spaces. The semigroup approach is employed in the discussion as well as PDE descriptions of continuous-time dynamics. The main results on sufficient and necessary conditions for the turnpike property are completely proved and the numerous illustrative examples support the material for the broad spectrum of experts. Mathematicians interested in the calculus of variations, optimal control and in applied functional analysis will find this book a useful guide to the turnpike phenomenon in infinite dimensional spaces. Experts in economic and engineering modeling as well as graduate students will also benefit from the developed techniques and obtained results.

ISBN: 9783030201784$q(electronic bk.)

Standard No.: 10.1007/978-3-030-20178-4doiSubjects--Topical Terms:

182248
Control theory.

LC Class. No.: QA402.3 / .Z375 2019

Dewey Class. No.: 515.642

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520 $a This book provides a comprehensive study of turnpike phenomenon arising in optimal control theory. The focus is on individual (non-generic) turnpike results which are both mathematically significant and have numerous applications in engineering and economic theory. All results obtained in the book are new. New approaches, techniques, and methods are rigorously presented and utilize research from finite-dimensional variational problems and discrete-time optimal control problems to find the necessary conditions for the turnpike phenomenon in infinite dimensional spaces. The semigroup approach is employed in the discussion as well as PDE descriptions of continuous-time dynamics. The main results on sufficient and necessary conditions for the turnpike property are completely proved and the numerous illustrative examples support the material for the broad spectrum of experts. Mathematicians interested in the calculus of variations, optimal control and in applied functional analysis will find this book a useful guide to the turnpike phenomenon in infinite dimensional spaces. Experts in economic and engineering modeling as well as graduate students will also benefit from the developed techniques and obtained results.
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