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
收藏
页码：248 / 254
页数：7
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