Infinite Dimensional Optimization and Control Theory (Hardcover)

This text discusses existence and necessary conditions, such as Potryagin's maximum principle, for optimal control problems described by ordinary and partial differential equations. These necessary conditions are obtained from KuhnTucker theorems for nonlinear programming problems in infinite dimensional spaces. The optimal control problems include control constraints, state constraints and target conditions. Evolution partial differential equations are studied using semigroup theory, abstract differential equations in linear spaces, integral equations and interpolation theory. Existence of optimal controls is established 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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Encyclopedia of Mathematics and its Applications
Release date:	March 1999
First published:	1999
Authors:	Hector O. Fattorini (Professor Emeritus)
Dimensions:	234 x 156 x 43mm (L x W x T)
Format:	Hardcover
Pages:	816
ISBN-13:	978-0-521-45125-3
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations Books > Science & Mathematics > Mathematics > Optimization > General
LSN:	0-521-45125-6
Barcode:	9780521451253

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