Transient Control in Targeting Multistable Dynamics of a Memristor Circuit

Abstract

Memristors are more and more seen as the basic elements for the development of new unconventional computational schemes. One of the appealing property of memristor circuits is multistability, i.e., the coexistence in the state space of a rich variety of different attractors. This paper considers the problem of controlling multistability for a circuit with a charge-controlled memristor which displays infinite stable equilibrium points and limit cycles. Specifically, it is shown how voltage and current sources can be pulse programmed in order to steer the circuit dynamics from one stable equilibrium point to a different stable equilibrium point within a given finite time interval.