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Infinite Dimensional Optimization and Control Theory - Hector O. Fattorini,Fattorini Hector O.,H. O. Fattorini

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2009-09-30
331,91 € 553,18 €

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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 con ... Pilns apraksts

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Aprašymas

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.

Vairāk informācijas

Autors Hector O. Fattorini, Fattorini Hector O., H. O. Fattorini
Izdevējs Cambridge University Press
Izlaides gads 2009
Vāka tips Cietais vāks
EAN 9780521451253
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331,91 € 553,18 €