随机矩阵与动力系统的能控性
Random matrices and controllability of dynamical systems
摘要：
本文对随机线性系，即用随机矩阵代替通常矩阵的线性系，引入了$ε$ -不可控性的概念。我们还估计了$ε$ -不可控的情况下，矩阵来自高斯正交系综。我们的证明利用了系统论、概率论和凸几何的工具。
英文摘要：
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the concept of $ε$-uncontrollability for random linear systems, i.e. linear system in which the usual matrices have been replaced by random matrices.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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
