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

Infinite Dimensional Optimization and Control Theory (Encyclopedia of Mathematics and its Applicatio
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Hector O. Fattorini 作者
Cambridge University Press
译者
1999-03-28 出版日期
816 页数
USD 170.00 价格
Hardcover
丛书系列
9780521451253 图书编码

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


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Infinite Dimensional Optimization and Control Theory (Encyclopedia of Mathematics and its Applicatio 在线电子书 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.

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