Infinite Dimensional Optimization and Control Theory...

Features

• Cover Type: Hard Cover with 814 pages
• Published by: Cambridge University Press March 28, 1999
• Written in: English
• ISBN 10 Number: 0521451256
• ISBN 13 Number: 978-0521451253
• Book Dimensions: 9.6 x 6.3 x 1.9 inches
• Weighs: 2.7 pounds

Product Review
"Fattorini's extensive monograph is a fundamental contribution to optimal control theory of evolution finite- or infinite-dimensional systems, and summarizes and extends his many decades of intensive research in this areaThis outstanding monograph should be on the desk of every expert in optimal control theoryit will be a great source for graduate students interested in calculus of variations, nonlinear programming, optimization theory and optimal control." Mathematical Reviews

Product Description
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.