Stability of discrete-time linear systems with Markovian jumping parameters and constrained control

被引：48
|
作者：
Boukas, EK [1 ]
Benzaouia, A
机构：
[1] Ecole Polytech Montreal, Mech Engn Dept, Montreal, PQ H3C 3A7, Canada
[2] Fac Sci Semlalia, Dept Phys, Marrakech, Morocco
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2002年 / 47卷 / 03期
基金：
加拿大自然科学与工程研究理事会;
关键词：
constrained control; discrete-time systems; Markovian jumping parameters; positively invariant set;
D O I：
10.1109/9.989152
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This note is devoted to the study of linear discrete-time systems with Markovian jumping parameters and constrained control. The constraints used in the note are of symmetrical inequality type. The approach of positively invariant sets is used to obtain new necessary and sufficient conditions for positive invariance, and sufficient conditions for stochastic stability. These conditions become those given for stationary discrete-time systems with one mode (deterministic linear discrete-time systems) as known in the literature.
引用
收藏
页码：516 / 521
页数：6
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