Abstract

We consider an important class of hybrid systems, called switching systems, in which a continuous process is controlled by a discrete control between different subsystems. In the case where the switching system has a periodic solution, a lower bound for its period is obtained. For a second-order linear switched differential equation, an inequality is proved that allows one to estimate the distance between two successive zeros of its solution.

中文翻译：

---

关于切换微分方程解的一些性质

摘要

我们考虑一类重要的混合系统，称为切换系统，其中连续过程由不同子系统之间的离散控制来控制。在开关系统具有周期解的情况下，获得其周期的下界。对于二阶线性切换微分方程，证明了一个不等式，可以估计其解的两个连续零点之间的距离。