### Determining the domain of attraction of hybrid non–linear systems using maximal Lyapunov functions

In this article a method is presented to find systematically the domain of attraction (DOA) of hybrid non-linear systems. It has already been shown that there exists a sequence of special kind of Lyapunov functions ${V}_{n}$ in a rational functional form approximating a maximal Lyapunov function ${V}_{M}$ that can be used to find an estimation for the DOA. Based on this idea, an improved method has been developed and implemented in a Mathematica-package to find such Lyapunov functions ${V}_{n}$ for a class of hybrid (piecewise...