Almost sure stability condition of weakly coupled linear nonautonomous random systems

被引：0

作者：

Ma, T. W. ^{[1
]}

机构：

[1] Univ Hawaii Manoa, Dept Civil & Environm Engn, Honolulu, HI 96822 USA

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2010年 / 31卷 / 08期

基金：

美国国家科学基金会;

关键词：

almost sure stability; ergodic process; bound for eigenvalue; STOCHASTIC STABILITY;

D O I：

10.1007/s10483-010-1339-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, the sufficient condition of almost sure stability of twodimensional oscillating systems under parametric excitations is investigated. The systems considered are assumed to be composed of two weakly coupled subsystems. The driving actions are considered to be stationary stochastic processes satisfying ergodic properties. The properties of quadratic forms are used in conjunction with the bounds for the eigenvalues to obtain, in a closed form, the sufficient condition for the almost sure stability of the systems.

引用

页码：1033 / 1038

页数：6

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