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Cambridge University Press Infinite Dimensional Optimization and Control Theory: 62 (Encyclopedia of Mathematics and its Applications, Series Number 62)

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Description

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.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
28 March 1999
Listed Since
27 December 2006

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