Almost sure stability condition of weakly coupled linear nonautonomous random systems

作者：Ma T W^*

来源：Applied Mathematics and Mechanics (English Edition ), 2010, 31(8): 1033-1038.

DOI：10.1007/s10483-010-1339-x

• almost sure stability
• ergodic process
• bound for eigenvalue

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.

• 出版日期2010-8