An optimality criterion in a control problem for a Sobolev-type linear equation

被引：1

作者：

Plekhanova, M. V. ^{[1
]}

Fedorov, V. Ye. ^{[1
]}

机构：

[1] Chelyabinsk State Univ, Chelyabinsk 454080, Russia

来源：

JOURNAL OF COMPUTER AND SYSTEMS SCIENCES INTERNATIONAL | 2007年 / 46卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

Control Problem; Cauchy Problem; Variational Inequality; Optimal Control Problem; Optimality Criterion;

D O I：

10.1134/S1064230707020116

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The necessary and sufficient conditions for solving an optimal control problem with a quadratic cost function for a system, whose state is described by a linear confluent equation in Hilbert spaces are obtained. We apply these results for investigating an optimal control problem for the Dzektser equation of the evolution of the free surface of a filtering fluid.

引用

页码：248 / 254

页数：7

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