Analog Computing of Control Laws by Periodic Network of Resistances

We show in this paper that a class of Periodic Networks of Resistances (called PNR) can be used to solve partial differential equations. More precisely, each cell of this periodic network computes locally a finite difference approximation of the partial differential equation. The PNR circuits are composed of current source, voltage-controlled voltage source and positive and negative resistances. An example of application of PNR could be the real time control of distributed MEMS.