Change of the Attainability Set after Transition to a Reduced System

被引：0
|
作者：
Bugrov, D., I [1 ]
Formal'skii, A. M. [2 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119899, Russia
[2] Moscow MV Lomonosov State Univ, Moscow Univ, Inst Mech, Moscow 119991, Russia
来源：
MOSCOW UNIVERSITY MECHANICS BULLETIN | 2020年 / 75卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
8;
D O I：
10.3103/S0027133020020041
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
An example of a linear completely contrallable time-invariant system is considered to study the change of its attainability region after the transition to a reduced system with a decreased order. The original system is a triple integrator. After reduction, a new system (a double integrator) whose control belongs to the set of piecewise continuous bounded functions is considered. The attainability set of the reduced system and the projection of the attainability set of the original system onto the coordinate plane of the reduced system are compared.
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页码：44 / 46
页数：3
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