摘要

We consider an n dimensional dynamical system with discontinuous right-hand side (DRHS), whereby the vector field changes discontinuously across a co-dimension 1 hyperplane S. We assume that this DRHS system has an asymptotically stable periodic orbit gamma, not fully lying in S. In this paper, we prove that also a regularization of the given system has a unique, asymptotically stable, periodic orbit, converging to gamma as the regularization parameter goes to 0.