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OverviewOptimal control provides a unified perspective of optimization problems, arising in scheduling and the control of engineering devices, that are beyond the reach of traditional analytical and computational techniques. In addition, the field of optimal control has contributed significant advances to branches of applied mathematics and broad applications in process control, scheduling, robotics, resource economics, and other areas. This text aims to bring together new results and advances in optimal control, providing a self-contained analysis and incorporating numerous simplifications and unifying features for the subjects' key concepts and foundations. Full Product DetailsAuthor: Richard VinterPublisher: Birkhauser Boston Inc Imprint: Birkhauser Boston Inc Edition: Edition. ed. Dimensions: Width: 15.50cm , Height: 2.80cm , Length: 23.50cm Weight: 2.010kg ISBN: 9780817640750ISBN 10: 0817640754 Pages: 520 Publication Date: 19 May 2000 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Out of Print Availability: Awaiting stock ![]() Table of ContentsPreface.- Notation.- Overview.- Measurable Multifunctions and Differential Inclusions.- Variational Principles.- Nonsmooth Analysis.- Subdifferential Calculus.- The Maximum Principle.-The Extended Euler Lagrange and Hamilton Conditions.- Necessary Conditions for Free Time Problems.- The Maximum Principle for State Constrained Problems.- The Extended Euler Lagrange Condition and Hamilton Inclusion for State Constrained Problems.-Regularity of Minimizers.- Dynamic Programming.- Index.ReviewsThe book by R. Vinter is really well written; it goes from the very basic tools in variational analysis, as direct methods and regularity, to the most recent results in dynamic programming. Special attention is devoted to nonsmooth analysis toolsa ]. The book is enriched by many examples: this is a very important point for a reader who wants to approach control theory, and makes the volume suitable not only for specialists but also for students at a Ph.D. level. a Zentralblatt Math <p> In the book, many major developments in optimal control based on nonsmooth analysis in recent years are brought together in a form accessible to a broader audiencea ]. The book may be an essential resource for potential readers, experts in control and optimization, as well as postgraduates and applied mathematicians, and it will be valued for its accessibility and clear exposition. a Applications of Mathematics <p> In this self-contained monograph the author brings us right to the frontier of the research on necessary optimality conditions using the methodology of nonsmooth analysis and variational methods. He also presents a new perspective on the regularity of minimizers and discusses some of the recent progress on dynamic programminga ]. Each chapter contains a well-written introduction and notes. They include the author's deep insights on the subject matter and provide historical comments and guidance to related literature. This book may well become an important milestone in the literature of optimal control. a Mathematical Reviews Author InformationRichard Vinter is Head of the Control and Power Research Group at Imperial College London. Tab Content 6Author Website:Countries AvailableAll regions |