We give sufficient conditions for stability of a continuous-time linear switched system consisting of finitely many subsystems. The switching between subsystems is governed by an underlying graph. The results are applicable to switched systems having some or all non-Hurwitz subsystems. We also present a slow-fast switching mechanism on subsystems comprising simple loops of underlying graph to ensure stability of the switched system.

中文翻译：

---

具有不稳定子系统的稳定图相关的线性开关系统

我们给出了由有限个子系统组成的连续时间线性交换系统的稳定性的充分条件。子系统之间的切换由基础图控制。结果适用于具有某些或全部非Hurwitz子系统的交换系统。我们还在子系统上提出了一种慢速快速切换机制，该机制包括基础图的简单循环，以确保切换系统的稳定性。