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.

引用

页码：S53 / S65

页数：13

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