Asymptotics of the Optimal Time in a Singular Perturbed Linear Time-Optimal Problem

被引：1
|
作者：
Danilin, A. R. [1 ]
Kovrizhnykh, O. O. [1 ]
机构：
[1] Russian Acad Sci, Ural Div, Inst Math & Mech, Ekaterinburg 620990, Russia
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2010年 / 271卷
基金：
俄罗斯基础研究基金会;
关键词：
optimal control; time-optimal control problem; asymptotic expansion; singular perturbed problems; small parameter;
D O I：
10.1134/S0081543810070059
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A time-optimal control problem is considered for a linear system with fast and slow variables and smooth geometric constraints on the control. For the optimal time and optimal control, asymptotic expansions in a small parameter at the derivatives in the equations of the system and a small perturbation of the initial conditions are constructed.
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页码：S53 / S65
页数：13
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