On the stabilization performance of some hybrid controls

Recently, significant interest has been raised in the study of hybrid syste ms. In this paper we analyse the performance of some hybrid controls to sta bilize a model problem, comparing it with classical methods. We used comput er simulations as well as analytic arguments which revealed the presence of periodic orbits for the considered hybrid dynamics. Existence and stabilit y of the latter have also been considered in the framework of a single dyna mical system on a suitable manifold (indeed, a stratified set), called the hybrid manifold.