After presenting the main issues of piecewise smooth dynamical systems, and defining the different types of equilibrium points, we focus on Piecewise Linear (PWL) systems. A result on the characterization of a particular type of PWL system is given, that relates the pseudo-equilibrium point of a PWL system with the solution of a linear algebraic system. Examples are given and an application to Gene Regularoy Networks (GRNs) is provided.
['Marco Berardi']
Piecewise Smooth Systems: Equilibrium Points and Application to Gene Regulatory Networks