IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I. FUNDAMENTAL THEORY AND APPLICATIONS
An entirely new algorithm to find all the equilibrium points of
piecewise-linear (PWL) circuits is presented. To this aim, the new class
of the so-called polyhedral circuits, associated to the PWL ones, are defined
by replacing the PWL elements with the polyhedral elements. The algorithm is
structured as a genealogical tree, whose nodes represent specific polyhedral
circuits. All the equilibrium points of the original PWL circuit can be
captured by the analysis of these nodes. This analysis requires the solution
of the Phase I of Linear Programming (LP) problems, one problem for each node.
An example shows the capabilities of this algorithm.