Small-Time Reachable Sets of Linear Systems with Integral Control Constraints: Birth of the Shape of a Reachable Set

被引：10
|
作者：
Goncharova, Elena [1 ]
Ovseevich, Alexander [2 ]
机构：
[1] Russian Acad Sci, Siberian Branch, Inst Syst Dynam & Control Theory, Irkutsk 664003, Russia
[2] Russian Acad Sci, Inst Problems Mech, Moscow, Russia
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2016年 / 168卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
Linear control systems; Reachable sets; Shapes of convex bodies; APPROXIMATIONS;
D O I：
10.1007/s10957-015-0754-4
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
The paper is concerned with small-time reachable sets of a linear dynamical system under integral constraints on control. The main result is the existence of a limit shape of the reachable sets as time tends to zero. A precise estimate for the rate of convergence is given.
引用
收藏
页码：615 / 624
页数：10
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