论文标题
动态系统的随机矩阵和可控性
Random matrices and controllability of dynamical systems
论文作者
论文摘要
我们介绍了随机线性系统的$ε$ - 固定性的概念，即，通常矩阵被随机矩阵替换的线性系统。我们还估计，在矩阵来自高斯正交合奏的情况下，$ε$ - 未控制性。我们的证明利用了系统理论，概率理论和凸几何形状中的工具。
We introduce the concept of $ε$-uncontrollability for random linear systems, i.e. linear system in which the usual matrices have been replaced by random matrices. We also estimate the $ε$-uncontrollability in the case where the matrices come from the Gaussian orthogonal ensemble. Our proof utilizes tools from systems theory, probability theory and convex geometry.
