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

被引：0
|
作者：
Elena Goncharova
Alexander Ovseevich
机构：
[1] Siberian Branch of the Russian Academy of Sciences,Institute for System Dynamics and Control Theory
[2] Institute for Problems in Mechanics of the Russian Academy of Sciences,undefined
来源：
Journal of Optimization Theory and Applications | 2016年 / 168卷
关键词：
Linear control systems; Reachable sets; Shapes of convex bodies; 93B03; 93B05; 52A23;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：615 / 624
页数：9
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