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Infinite Dimensional Optimization and Control Theory

Name: Infinite Dimensional Optimization and Control Theory
Brand: Cambridge University Press
SKU: 02024084
Price: 156.39 EUR
Availability: InStock
Author: Hector O. Fattorini
ISBN: 9780521154543

Hector O. Fattorini

Language

English

Book Paperback

Libristo code: 02024084

Publishers Cambridge University Press, June 2010

This book is on existence and necessary conditions, such as Potryagin's maximum principle, for optim... Full description

Libristo code: 02024084

383 b

156.39 € VAT included

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This book is on 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 Kuhn–Tucker 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.