Limit Behavior of Reachable Sets of Linear Time-Invariant Systems with Integral Bounds on Control

被引：2

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 | 2013年 / 157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; ASYMPTOTICS;

D O I：

10.1007/s10957-012-0198-z

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：

In this paper, a linear dynamic system is considered under L (p) -constraint on control. We establish the existence of the limit shape of reachable sets as time goes to infinity. Asymptotic formulas are obtained for reachable sets and their shapes. The results throw a bridge between the cases of geometric bounds on control and constraints on the total impulse of control, and create a unified picture of the structure of the limit shapes of reachable sets.

引用

页码：400 / 415

页数：16

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