Turnpike Conditions in Infinite Dimensional Optimal Control by Alexander J. Zasl

Description: Turnpike Conditions in Infinite Dimensional Optimal Control by Alexander J. Zaslavski This book provides a comprehensive study of turnpike phenomenon arising in optimal control theory. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description 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. Back Cover 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. Author Biography Table of Contents 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. Review "This is an excellent book devoted to the well-known turnpike phenomenon which holds for large classes of variational and optimal control problems. ... Examples and many exercises are included to illustrate the theoretical results. An adequate list of references and an index of notations are added. It is worth pointing out that the book is well organized, with clear proofs and explanations, easy to read. I strongly recommend it to graduate students and researchers interested in the field." (Gheorghe Moroanu, zbMATH 1462.49003, 2021) Review Quote "This is an excellent book devoted to the well-known turnpike phenomenon which holds for large classes of variational and optimal control problems. ... Examples and many exercises are included to illustrate the theoretical results. An adequate list of references and an index of notations are added. It is worth pointing out that the book is well organized, with clear proofs and explanations, easy to read. I strongly recommend it to graduate students and researchers interested in the field." (Gheorghe Morosanu, zbMATH 1462.49003, 2021) Feature Numerous illustrative examples support the material for the broad spectrum of experts Presents new approaches, techniques, and methods to handle problems in infinite dimensional optimal control Clarifies the differences between discrete-time and continuous-time optimal control solutions that have the turnpike property Details ISBN3030201805 Author Alexander J. Zaslavski Pages 570 Language English Year 2020 ISBN-10 3030201805 ISBN-13 9783030201807 Format Paperback Publication Date 2020-08-14 Series Number 148 UK Release Date 2020-08-14 Edition 1st Place of Publication Cham Country of Publication Switzerland Illustrations X, 570 p. Edited by Laura Ricci Birth 1974 Affiliation Massachusetts Institute of Technology Position journalist Qualifications S. J. Publisher Springer Nature Switzerland AG Edition Description 1st ed. 2019 Series Springer Optimization and Its Applications Imprint Springer Nature Switzerland AG Alternative 9783030201777 DEWEY 512.2 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:129547129;

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