Kniha Infinite Dimensional Optimization and Control Theory Hector O. Fattorini

Infinite Dimensional Optimization and Control Theory

Jazyk: Angličtina
Vazba: Pevná
Dostupnost: Skladem u dodavatele
Odesíláme za 9-15 dnů
5 960
This book is on existence and necessary conditions, such as Potryagin's maximum principle, for optim...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Pevná
Vydáno
1999
Stránek
816
EAN
9780521451253
ISBN
0521451256
Enbook ID
02031343
Hmotnost
1250
Rozměry
156 x 234 x 43

Kompletní popis

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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