In this paper we first show how the Extended Linear Complementarity Problem, which is a mathematical programming problem, can be used to design optimal switching schemes for a class of switched systems with linear dynamics subject to saturation. More specifically, we consider the determination of the optimal switching time instants (the switching sequences are acyclic, but the phase sequence is...

In this work, the unipolar resistive switching behaviour of Ni/HfO2/Si(n+) devices is studied. The structures are characterized using both current and voltage sweeps, with device resistance its cycle-to-cycle variability being analysed in each case. Experimental measurements indicate a clear improvement on states stability when sweeps to induce set reset processes. Moreover, it has been found t...

We introduce and study a new class of optimal switching problems, namely problem with controlled randomisation, where some extra-randomness impacts the choice modes associated costs. show that value is related to multidimensional obliquely reflected BSDEs. These BSDEs allow as well construct an strategy thus solve completely initial problem. The other main contribution our work prove existence ...