Almost sure stability condition of weakly coupled linear nonautonomous random systems  

作　　者：T．W．MA 

机构地区：[1]Department of Civil and Environmental Engineering, University of Hawaii at Manoa, Honolulu, HI 96822, USA

出　　处：《Applied Mathematics and Mechanics(English Edition)》2010年第8期1033-1038,共6页应用数学和力学（英文版）

基　　金：Project supported by the National Science Foundation of USA (No. CMMI0758632)

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.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.

关 键 词：almost sure stability ergodic process bound for eigenvalue 

分 类 号：O325[理学—一般力学与力学基础]