Almost Sure Stability Condition of Weakly Coupled Two-DOF Linear Nonautonomous Random Systems
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摘要: 研究了参数激励下的二阶振动系统准确定稳定的充分条件.假设该系统由二个弱耦合的子系统所组成,外加激励作用是稳定的遍历性随机过程.使用二次型性质,得到该系统的特征值边界,以及封闭形式的准确定稳定的充分条件.Abstract: Sufficient condition of almost sure stability of two-dimensional oscillating systems under parametric excitations was investigated. The systems considered were assumed to becom posed of two weakly coupled subsystems. The driving actions were considered to be stationary stochastic processes satisfying ergodic properties. The properties of quadratic forms were used in conjunction with the bounds for eigenvalues to obtain, in close form, the sufficient condition for amlost sure stability of the system.
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Key words:
- almost-sure stability /
- ergodic processes /
- bounds for eigenvalues
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