Input design for controlling dynamics in a second-order memristive circuit

The paper considers the problem of controlling the dynamics of a circuit composed by a memristor connected to a two-terminal element containing R, L, C components and two independent sources acting as control inputs. The dynamics of the input-less circuit is first investigated by characterizing the attractors lying on the infinitely many invariant manifolds of the circuit state space. Then, both the problems of steering within a prescribed time interval the dynamics from one manifold to another (i.e., switching among different attractors), and of modifying the dynamics onto each invariant manifold are solved via suitably designing the control sources. Some numerical examples are presented for illustration purposes.