Format:
1 Online-Ressource (xi, 336 Seiten)
ISBN:
9783030969738
Series Statement:
Springer Optimization and Its Applications volume 190
Content:
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.
Content:
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.
Additional Edition:
ISBN 9783030969721
Additional Edition:
ISBN 9783030969752
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030969721
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030969745
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030969752
Additional Edition:
Erscheint auch als Druck-Ausgabe Zaslavskij, Aleksandr J. Turnpike phenomenon and symmetric optimization problems Cham, Switzerland : Springer Nature, 2022 ISBN 9783030969721
Language:
English
Keywords:
Optimierungsproblem
;
Optimale Kontrolle
;
Unendlichdimensionaler Raum
;
Kristallographie
DOI:
10.1007/978-3-030-96973-8
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