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OverviewDevoted to the structure of approximate solutions of discrete-time optimal control problems and approximate solutions of dynamic discrete-time two-player zero-sum games, this book presents results on properties of approximate solutions in an interval that is independent lengthwise, for all sufficiently large intervals. Results concerning the so-called turnpike property of optimal control problems and zero-sum games in the regions close to the endpoints of the time intervals are the main focus of this book. The description of the structure of approximate solutions on sufficiently large intervals and its stability will interest graduate students and mathematicians in optimal control and game theory, engineering, and economics. This book begins with a brief overview and moves on to analyze the structure of approximate solutions of autonomous nonconcave discrete-time optimal control Lagrange problems.Next the structures of approximate solutions of autonomous discrete-time optimal control problems that are discrete-time analogs of Bolza problems in calculus of variations are studied. The structures of approximate solutions of two-player zero-sum games are analyzed through standard convexity-concavity assumptions. Finally, turnpike properties for approximate solutions in a class of nonautonomic dynamic discrete-time games with convexity-concavity assumptions are examined. Full Product DetailsAuthor: Alexander J. ZaslavskiPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: Softcover reprint of the original 1st ed. 2017 Volume: 119 Weight: 0.623kg ISBN: 9783319850191ISBN 10: 3319850199 Pages: 398 Publication Date: 19 July 2018 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of Contents1. Introduction. -2. Lagrange problems. -3. Bolza problems. -4. Stability Results for Bolza problems. -5. Unconstrained games without Convexity-Concavity Assumptions. -6. Constrained Games without Convexity-Concavity Assumptions. -7.Nonautonomous Games with Convexity-ConcavityAssumptions. -8.Constrained Games with Convexity-Concavity Assumptions. -References.Reviews“This book is an important contribution to the theory of optimal control and games in the discrete-time framework. The original point of view of the author and the numerous results established provide an innovative approach to these problems which can give food for thought for new researches.” (Joël Blot, Mathematical Reviews, February, 2018) This book is an important contribution to the theory of optimal control and games in the discrete-time framework. The original point of view of the author and the numerous results established provide an innovative approach to these problems which can give food for thought for new researches. (Joel Blot, Mathematical Reviews, February, 2018) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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