Chaos suppression via periodic change of variables in a class of discontinuous dynamical systems of fractional order

Abstract

By introducing a suitable change of variable theorem for a class of fractional discontinuous equations, we study the possibility to use a periodic perturbation algorithm to stabilize chaotic trajectories. For this purpose, some new issues of fractional differential inclusions and results on Filippov systems are used. The algorithm, which periodically changes the system variables, has been used so far to stabilize discrete, continuous and discontinuous systems of integer order. As an example, a piece-wise continuous variant of the Chen system is utilized.