论文标题
$ \ mathbb {r}^2 $上线性控制系统的控制集。复杂的情况
Control sets of linear control systems on $\mathbb{R}^2$. The complex case
论文作者
论文摘要
本文明确地计算出$ \ mathbb {r}^2 $上线性控制系统的非空内部的唯一控件集合$ d $，当时相关矩阵具有复杂的特征值。事实证明，$ d $的关闭与系统的可计算周期性轨道$ \ Mathcal {O} $界定的区域相吻合。
This paper explicitly computes the unique control set $D$ with non-empty interior of a linear control system on $\mathbb{R}^2$, when the associated matrix has complex eigenvalues. It turns out that the closure of $D$ coincides with the the region delimited by a computable periodic orbit $\mathcal{O}$ of the system.
