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Turnpike phenomenon and symmetric optimization problems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Turnpike phenomenon and symmetric optimization problemsby Alexander J. Zaslavski.
Author:	Zaslavski, Alexander J.
Published:	Cham :Springer International Publishing :2022.
Description:	xi, 336 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Mathematical optimization.
Online resource:	https://doi.org/10.1007/978-3-030-96973-8
ISBN:	9783030969738$q(electronic bk.)

Turnpike phenomenon and symmetric optimization problems
Zaslavski, Alexander J.

Turnpike phenomenon and symmetric optimization problems[electronic resource] /by Alexander J. Zaslavski. - Cham :Springer International Publishing :2022. - xi, 336 p. :ill., digital ;24 cm. - Springer optimization and its applications,v. 1901931-6836 ;. - Springer optimization and its applications ;v. 3..

Introduction -- Symmetric Optimization Problems -- Parametric Optimization -- Infinite Dimensional Control -- Symmetric Variational Problems -- Infinite Dimensional Optimal Control -- Optimization problems arising in crystallography -- Discrete dispersive dynamical systems -- References -- Index.

Written by a leading expert in turnpike phenomenon, this book is devoted to the study of symmetric optimization, variational and optimal control problems in infinite dimensional spaces and turnpike properties of their approximate solutions. The book presents a systematic and comprehensive study of general classes of problems in optimization, calculus of variations, and optimal control with symmetric structures from the viewpoint of the turnpike phenomenon. The author establishes generic existence and well-posedness results for optimization problems and individual (not generic) turnpike results for variational and optimal control problems. Rich in impressive theoretical results, the author presents applications to crystallography and discrete dispersive dynamical systems which have prototypes in economic growth theory. This book will be useful for researchers interested in optimal control, calculus of variations turnpike theory and their applications, such as mathematicians, mathematical economists, and researchers in crystallography, to name just a few.

ISBN: 9783030969738$q(electronic bk.)

Standard No.: 10.1007/978-3-030-96973-8doiSubjects--Topical Terms:

183292
Mathematical optimization.

LC Class. No.: QA402.5 / .Z37 2022

Dewey Class. No.: 519.6

Turnpike phenomenon and symmetric optimization problems
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505 0 $a Introduction -- Symmetric Optimization Problems -- Parametric Optimization -- Infinite Dimensional Control -- Symmetric Variational Problems -- Infinite Dimensional Optimal Control -- Optimization problems arising in crystallography -- Discrete dispersive dynamical systems -- References -- Index.
520 $a Written by a leading expert in turnpike phenomenon, this book is devoted to the study of symmetric optimization, variational and optimal control problems in infinite dimensional spaces and turnpike properties of their approximate solutions. The book presents a systematic and comprehensive study of general classes of problems in optimization, calculus of variations, and optimal control with symmetric structures from the viewpoint of the turnpike phenomenon. The author establishes generic existence and well-posedness results for optimization problems and individual (not generic) turnpike results for variational and optimal control problems. Rich in impressive theoretical results, the author presents applications to crystallography and discrete dispersive dynamical systems which have prototypes in economic growth theory. This book will be useful for researchers interested in optimal control, calculus of variations turnpike theory and their applications, such as mathematicians, mathematical economists, and researchers in crystallography, to name just a few.
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