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速递书局
封面: |
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题名: |
Infinite Dimensional Optimization and Control Theory |
作者: |
Fattorini, Hector O |
出版社: |
Cambridge University Press |
出版日期: |
28 Mar, 1999 |
ISBN: |
9781107094765 |
附属页: |
齐全 |
书签: |
有 |
格式: |
清晰PDF |
内容简介: |
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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