Circuits with a mem-element: invariant manifolds control via pulse programmed sources

Abstract The paper considers the problem of controlling multistability in a general class circuits composed linear time-invariant two-terminal (one port) element, containing R , L C components and ideal operational amplifiers, coupled with one mem-elements (memory elements) introduced by Prof. L.O. Chua, i.e., memristors, memcapacitors, meminductors. First, explicit expressions invariant manifolds circuit are directly given terms state variables element mem-element. Then, steering dynamics from an initial manifold to final one, hence potentially switch among different attractors circuit, is addressed designing pulse shaped control inputs. inputs ensure that transition between accomplished within finite time interval. Moreover, it shown how designed can be implemented introducing independent voltage current sources element. Notably, turns out always possible solve considered using unique source. Several examples provided illustrate proposed approach applied highlight influence features on behavior controlled dynamics.