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Infinite Dimensional Optimization and Control Theory (Hardcover)

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This book concerns existence and necessary conditions, such as Potryagins 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. *Author: Fattorini, H. O./ Fattorini, Hector O./ Hector O., Fattorini *Series Title: Encyclopedia of Mathematics and Its Applications *Series Number: 62 *Binding Type: Hardcover *Number of Pages: 816 *Publication Date: 1999/03/28 *Language: English *Dimensions: 6.14 x 9.21 x 1.69 inches


Publisher Cambridge University Press
Mfg Part# 9780521451253
SKU 213657901
Format Hardcover
ISBN10 0521451256
Release Date 12/22/2009
Product Attributes
Book Format Hardcover
Number of Pages 0816
Publisher Cambridge University Press
Series Part 62
$293.86 + $2.75 shipping
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