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

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Hector O. Fattorini

Cambridge University Press

1999-03-28

816

USD 170.00

Hardcover

9780521451253

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发表于2024-11-25

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

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

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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 下载 mobi epub pdf txt 电子书