On controlling multistability in memristor circuits

Abstract

One of the appealing properties of memristor circuits is multistability, i.e., the coexistence in the state space of a large variety of different attractors. Since each attractor belongs to one of the infinitely many invariant manifolds in which the state space is decomposed, switching between different attractors requires to address the problem of steering the memristor circuits dynamics from one invariant manifold to another in a given time interval. For a fairly general class of circuits containing an ideal memristor it is shown that it is always possible to solve this problem via a pulse programmed source.