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Infinite Dimensional Optimization and Control Theory (Encyclopedia of Mathematics and its Applicatio 2024 pdf epub mobi 电子书

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发表于2024-12-28

Infinite Dimensional Optimization and Control Theory (Encyclopedia of Mathematics and its Applicatio 2024 pdf epub mobi 电子书

Infinite Dimensional Optimization and Control Theory (Encyclopedia of Mathematics and its Applicatio 2024 pdf epub mobi 电子书

Infinite Dimensional Optimization and Control Theory (Encyclopedia of Mathematics and its Applicatio 2024 pdf epub mobi 电子书


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出版者:Cambridge University Press
作者:Hector O. Fattorini
出品人:
页数:816
译者:
出版时间:1999-03-28
价格:USD 170.00
装帧:Hardcover
isbn号码:9780521451253
丛书系列:

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Infinite Dimensional Optimization and Control Theory (Encyclopedia of Mathematics and its Applicatio 2024 pdf epub mobi 电子书 图书描述

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.

Infinite Dimensional Optimization and Control Theory (Encyclopedia of Mathematics and its Applicatio 2024 pdf epub mobi 电子书
Infinite Dimensional Optimization and Control Theory (Encyclopedia of Mathematics and its Applicatio 2024 pdf epub mobi 电子书
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