Asymptotics of the optimal time in a time-optimal control problem with a small parameter

被引：0
|
作者：
Danilin, A. R. [1 ,2 ]
Kovrizhnykh, O. O. [2 ]
机构：
[1] Russian Acad Sci, Inst Math & Mech, Ural Branch, Phys Mat Sci, Ekaterinburg, Russia
[2] Russian Acad Sci, Inst Math & Mech, Ural Branch, Ekaterinburg, Russia
来源：
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2015年 / 21卷 / 01期
关键词：
optimal control; time-optimal control problem; asymptotic expansion; singularly perturbed problems; small parameter;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A time-optimal control problem for a singularly perturbed linear autonomous system is considered. The main difference of this case from systems with fast and slow variables studied earlier is that the system for fast variables is not asymptotically stable. Asymptotic expansions of the optimal time and optimal control with respect to the small parameter at derivatives in the equations of the system are constructed.
引用
收藏
页码：71 / 80
页数：10
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