A Note on Uniform Exponential Stability of Linear Periodic Time-Varying Systems

被引：11
|
作者：
Vrabel, Robert [1 ,2 ]
机构：
[1] Slovak Univ Technol Bratislava, Fac Mat Sci & Technol Trnava, Trnava 91701, Slovakia
[2] Slovak Univ Technol Bratislava, Inst Appl Informat Automat & Mechatron, Trnava 91701, Slovakia
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2020年 / 65卷 / 04期
关键词：
Linear periodic time-varying system; logarithmic norm (LN); uniform exponential stability; uniform stability; ASYMPTOTIC STABILITY; MATRIX; NORM;
D O I：
10.1109/TAC.2019.2927949
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we derive a new criterion for uniform stability assessment of the linear periodic time-varying systems: <(x)over dot> = A(t)x and A(t + T) = A(t). As a corollary, the lower and upper bounds for the Floquet characteristic exponents are established. The approach is based on the use of logarithmic norm of the system matrix A(t). Finally, we analyze the robustness of the stability property under external disturbance.
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页码：1647 / 1651
页数：5
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