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

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

Computing & Internet

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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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Brand: Cambridge University Press
Format: paperback
ASIN: 0521154545
Category: Books > Subjects > Computing & Internet
Domain: Amazon UK
Release Date: 24 June 2010
Listed Since: 26 February 2010

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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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