Study the stability of a hybrid dynamic system using Lyapunov theory
A journey with hybrid dynamical systems

While in some cases we can study the stability and attractiveness of a hybrid system by directly examining its solutions and their explicit expressions as a function of time, this is generally not possible in the case of nonlinear systems, for which no explicit expression of the solutions can be determined. In this case, we turn to Lyapunov theory , which provides sufficient conditions to study the global uniform asymptotic stability of nonlinear hybrid systems. The most general formulation of Lyapunov's theorem does not even require the set