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portada Turnpike Conditions in Infinite Dimensional Optimal Control
Type
Physical Book
Author
Publisher
Language
English
Pages
570
Format
Paperback
Dimensions
23.4x15.6x3 cm
Weight
0.80 kg.
ISBN13
9783030201807
Categories

Turnpike Conditions in Infinite Dimensional Optimal Control

Alexander J. Zaslavski (Author) · Springer · Paperback

Turnpike Conditions in Infinite Dimensional Optimal Control - Zaslavski, Alexander J.

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Synopsis "Turnpike Conditions in Infinite Dimensional Optimal Control"

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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