Control design for targeting dynamics of memristor murali-lakshmanan-chua circuit

This paper deals with control of multistability in memristor circuits, an issue of growing interest also for its connection with the development of new computational paradigms, such as reservoir computing. Under the assumption that the memristor is ideal, the invariant manifolds of the Murali-Lakshmanan-Chua circuit are first explicitly computed and their own attractors are investigated. Feed-forward and feedback control laws are then devised for targeting dynamics on the manifolds. Specifically, the controllers are able to make the circuit state converging in finite time on an assigned invariant manifold and to switch over time among different manifolds. It is also pointed out that the intrinsic robustness of feedback control laws can positively counteract the possible lack of ideality of memristors, due, e.g., to imperfections in their practical realization.