Infinite Dimensional Optimization and Control Theory

Name: Infinite Dimensional Optimization and Control Theory
Brand: Cambridge University Press
SKU: 9780521154543
Price: 803.74 RON
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Autor: Hector O. Fattorini

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Editura: Cambridge University Press

Disponibilitate: În depozitul extern

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

Informații despre carte

Autor

Hector O. Fattorini

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2010

Pagini

816

EAN

9780521154543

ISBN

0521154545

Enbook ID

02024084

Editura

Cambridge University Press

Greutate

1070

Dimensiuni

156 x 234 x 41

Descriere completă

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.

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Infinite Dimensional Optimization and Control Theory

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