Assuming the uncertain parameter of a linear polytopic system to be uniformly distributed, we can prove that the system is almost sure exponentially stable if and only if its averaging system is stable. Computing the mathematical expectation of the state-transition matrix and characterizing the martingale structure embedded in its variance is the key for deriving this stability criterion.

中文翻译：

---

具有均匀分布不确定性的连续时间线性系统的几乎确定的稳定性准则

假设线性多面体系统的不确定参数均匀分布，我们可以证明该系统几乎肯定指数稳定当且仅当其平均系统稳定。计算状态转移矩阵的数学期望并表征嵌入其方差中的鞅结构是推导该稳定性准则的关键。