# Hybrid Systems

A model of a hybrid system ${\displaystyle {\mathcal {H}}}$ is given by a system of differential and difference equations or inclusions represented by four elements of data
{\displaystyle {\begin{aligned}{\mathcal {H}}\ {\begin{cases}{\dot {x}}\ \in F(x)\quad x\in C\\x^{+}\in G(x)\quad x\in D\end{cases}}\end{aligned}}}