Optimal control of distributed systems : theory and applications
著者
書誌事項
Optimal control of distributed systems : theory and applications
（Translations of mathematical monographs, v. 187）
American Mathematical Society, c2000
- タイトル別名
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Оптималное управление распределенными системами : теория и приложения
Optimalʹnoe upravlenie raspredelennymi sistemani : teoriiai︠a︡ i prilozhenii︠a︡
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注記
Includes bibliograhpical references (p. 299-304) index
内容説明・目次
内容説明
This volume presents the analysis of optimal control problems for systems described by partial differential equations. The book offers simple and clear exposition of main results in this area. The methods proposed by the author cover cases where the controlled system corresponds to well-posed or ill-posed boundary value problems, which can be linear or nonlinear. The uniqueness problem for the solution of nonlinear optimal control problems is analyzed in various settings. Solutions of several previously unsolved problems are given. In addition, general methods are applied to the study of two problems connected with optimal control of fluid flows described by the Navier-Stokes equations.
目次
The existence of solutions to optimal control problems Optimality system for optimal control problems The solvability of boundary value problems for a dense set of data The problem of work minimization in accelerating still fluid to a prescribed velocity Optimal boundary control for nonstationary problems of fluid flow and nonhomogeneous boundary value problems for the Navier-Stokes equations The Cauchy problem for elliptic equations in a conditionally well-posed formulation The local exact controllability of the flow of incompressible viscous fluid Bibliography Index.
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