Asymptotic behavior of the optimal cost functional for a rapidly stabilizing indirect control in the singular case

被引：0
|
作者：
Danilin A.R. [1 ]
机构：
[1] Institute of Mathematics and Mechanics, Ural Division, Russian Academy of Sciences, Yekaterinburg, 620219
来源：
Computational Mathematics and Mathematical Physics | 2006年 / 46卷 / 12期
基金：
俄罗斯基础研究基金会;
关键词：
Asymptotic expansion; Optimal control; Singular perturbation; Small parameter; Smooth geometric constraints; Terminal cost functional;
D O I：
10.1134/S0965542506120062
中图分类号：
学科分类号：
摘要：
The optimal control problem for a linear system with fast and slow variables in the form of indirect control with a convex terminal cost functional and a smooth geometric constraint on the control is studied. An asymptotic expansion of the cost functional up to any power of a small parameter is constructed. © Nauka/Interperiodica 2006.
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页码：2068 / 2079
页数：11
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