Turnpike Phenomenon and Symmetric Optimization Problems

This book is about the study of symmetric optimization,variational and optimal control problems in infinite dimensional spaces,and turnpike properties of their approximate solutions. It presents generic existence and well-posedness results for optimization problems and individual turnpike results for variational and optimal control problems,with applications to crystallography and discrete dispersive dynamical systems.

Format: Hardback
Length: 336 pages
Publication date: 12 April 2022
Publisher: Springer Nature Switzerland AG

This book, written by a renowned expert in the field of turnpike phenomenon, is a comprehensive exploration of symmetric optimization, variational and optimal control problems in infinite dimensional spaces, and the remarkable properties of their approximate solutions. The author delves into a systematic and thorough examination of general classes of optimization, calculus of variations, and optimal control problems with symmetric structures, all from the perspective of the turnpike phenomenon. Through rigorous analysis, the author establishes generic existence and well-posedness results for optimization problems, as well as individual turnpike results for variational and optimal control problems.

The book is replete with impressive theoretical findings, showcasing applications to crystallography and discrete dispersive dynamical systems, which bear resemblance to economic growth theory. This text is of immense value to researchers and scholars engaged in optimal control, turnpike theory, and their diverse applications, including mathematicians, mathematical economists, and researchers in crystallography.

The author's expertise and comprehensive approach make this book an essential resource for anyone seeking to advance their understanding of these complex topics and their practical applications.

Weight: 688g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030969721
Edition number: 1st ed. 2022