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Infinite Dimensional Optimization and Control Theory - Hector O. Fattorini

englanti
2010-06-30
191,59 € 294,76 €

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Toimitus 15-21 arkipäivässä

30 päivän palautusoikeus

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 con ... Täydellinen kuvaus

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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.

Lisätietoja

Kirjoittaja Hector O. Fattorini
Julkaisija Cambridge University Press
Julkaisuvuosi 2010
Kannen tyyppi Pehmeäkantinen
EAN 9780521154543
Kirjoita oma arvostelusi
Arvostelet: Infinite Dimensional Optimization and Control Theory
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191,59 € 294,76 €