On the geometric properties of reachable and controllable sets for linear discrete systems

被引：6

作者：

Formalsky, AM ^{[1
]}

Sirotin, AN

机构：

[1] Moscow MV Lomonosov State Univ, Inst Mech, Moscow, Russia

[2] Moscow State Aviat Inst, Moscow, Russia

[3] Russian Acad Sci, Inst Space Res, Moscow V71, Russia

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2004年 / 122卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

reachability; controllability; linear discrete systems; constrained controls;

D O I：

10.1023/B:JOTA.0000042521.51456.01

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：

A linear time-invariant discrete system with a single bounded control input is considered. Various types of constraints imposed on the control input are investigated. The set of system states that can be reached from the origin (reachable set) is studied. The set of system states from where the origin can be reached (null-controllable set) is studied as well. Various examples are presented.

引用

页码：257 / 284

页数：28

共 7 条

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[5] Sirotin AN, 2001, J COMPUT SYS SC INT+, V40, P531
[6] [No title captured]
[7] [No title captured]

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