Infinite Dimensional Optimization and Control Theory

By Hector O. Fattorini

Book Overview

This book concerns existence and necessary conditions, such as Potryagin's maximum principle, for optimal control problems described by ordinary and partial differential equations. The author obtains these necessary conditions from Kuhn-Tucker theorems for nonlinear programming problems in infinite dimensional spaces. The optimal control problems include control constraints, state constraints and target conditions. Fattorini studies evolution partial differential equations using semigroup theory, abstract differential equations in linear spaces, integral equations and interpolation theory. The author establishes existence of optimal controls for arbitrary control sets by means of a general theory of relaxed controls. Applications include nonlinear systems described by partial differential equations of hyperbolic and parabolic type and results on convergence of suboptimal controls.

• Format: Paperback
• Language: English
• ISBN: 0521154545
• ISBN13: 9780521154543
• Release Date: June 2010
• Publisher: Cambridge University Press
• Length: 816 Pages
• Weight: 2.47 lbs.
• Dimensions: 1.6" x 6.1" x 9.2"

Customer Reviews

Try reading the book before reviewing

It is true that if you are brand new to networking, this is not the first book you should purchase. And if you are looking for a "how to" book on programming a particular network device go buy one of those cisco instruction books. BUT, if you are a serious academic and want to understand what networks are REALLY all about (queuing and graph theory, etc.) this is one of the best introductory books on the subject. Cahn's preface...

More math than expected

Hi thereThis book includes more math than practical examples, and is such more on the theoretical side of network design.But I think the book is great, and the examples are fruit for thought, just a pitty some of the other reviewers aren't grownup so they can recognize it.I have used it several times for my thesis about IPv6 network design- even though it doesn't mention IPv6 at all!Best regards

Excellent book to understand network optimization

I have been working in the telecom industry for over 9 years. I have been invloved with the development of decision support systems for network planning and design at one of the largest carriers in the world. Optimization is a misused word but this book does an excellent job of presenting useful and practical techniques for network optimization. If you are interested in quantitaive analysis and design of real networks...