Chaos suppression via periodic pulses in a class of piece-wise continuous systems

In this paper, we prove that an existing algorithm with periodical impulses for chaos suppression in continuous systems can be further extended and successfully applied to a class of piecewise continuous systems. For this purpose, the underlying initial value problem is transformed into a continuous problem via Filippov regularization and Cellina’s approximation theorem. Next, some results on existence and continuation for ODEs with impulses are applied. As an example, the piece-wise continuous Chen system is considered.