Almost sure stability criterion for continuous-time linear systems with uniformly distributed uncertainty

被引：2
|
作者：
Cong, Shen [1 ]
机构：
[1] Heilongjiang Univ, Sch Mech & Elect Engn, Harbin 150080, Peoples R China
来源：
AUTOMATICA | 2023年 / 149卷
基金：
中国国家自然科学基金;
关键词：
Linear time -varying systems; Uniform distribution; Almost sure stability; Lyapunov exponent;
D O I：
10.1016/j.automatica.2022.110848
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Assuming the uncertain parameter of a linear polytopic system to be uniformly distributed, we can prove that the system is almost sure exponentially stable if and only if its averaging system is stable. Computing the mathematical expectation of the state-transition matrix and characterizing the martingale structure embedded in its variance is the key for deriving this stability criterion.(c) 2023 Elsevier Ltd. All rights reserved.
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页数：5
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