On the Stability of Some Linear Nonautonomous Random Systems

Journal of Applied Mechanics, Transactions ASME - Tập 35 Số 1 - Trang 7-12 - 1968
E. F. Infante1
1Center for Dynamical Systems, Division of Applied Mathematics, Brown University, Providence, R. I.

Tóm tắt

A theorem and two corollaries for the almost sure stability of linear nonautonomous random systems are presented. These results are applied to the study of the stability properties of some often encountered second-order equations and the obtained stability conditions are compared to previously known criteria.

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