DECAY RATES FOR STABILIZATION OF LINEAR CONTINUOUS-TIME SYSTEMS WITH RANDOM SWITCHING

被引：5
|
作者：
Colonius, Fritz [1 ]
Mazanti, Guilherme [2 ]
机构：
[1] Univ Augsburg, Inst Math, D-86159 Augsburg, Germany
[2] Univ Paris Saclay, Univ Paris Sud, Lab Math Orsay, F-91405 Orsay, France
来源：
MATHEMATICAL CONTROL AND RELATED FIELDS | 2019年 / 9卷 / 01期
关键词：
Random switching; almost sure stabilization; arbitrary rate of convergence; Lyapunov exponents; persistent excitation; Multiplicative Ergodic Theorem; MARKOV-PROCESSES; SURE STABILITY;
D O I：
10.3934/mcrf.2019002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For a class of linear switched systems in continuous time a controllability condition implies that state feedbacks allow to achieve almost sure stabilization with arbitrary exponential decay rates. This is based on the Multiplicative Ergodic Theorem applied to an associated system in discrete time. This result is related to the stabilizability problem for linear persistently excited systems.
引用
收藏
页码：39 / 58
页数：20
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