Infinite Dimensional Optimization and Co

Infinite Dimensional Optimization and Co
Pris
Pris
1 109,- 1 109,-
E-Bok
Format E-Bok
Kopisperre Teknisk DRM
Filformat PDF
Utgivelsesår 1999
Forlag Cambridge University Press
Språk Engelsk
ISBN 9781107108486
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E-Bok Nedlastbar Engelsk

Om Infinite Dimensional Optimization and Co

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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