S. Pastore et A. Premoli, CAPTURING ALL BRANCHES OF ANY ONE-PORT CHARACTERISTIC IN PIECEWISE-LINEAR RESISTIVE CIRCUITS, IEEE transactions on circuits and systems. 1, Fundamental theory andapplications, 43(1), 1996, pp. 26-33
An algorithm to capture all the unicursal branches of any one-port cha
racteristic in piecewise-linear (PWL) resistive circuits is described,
The heart of this algorithm is based on the so-called polyhedral augm
ented circuits: they are constructed by replacing each PWL element by
a suitable polyhedral element and by connecting a norator to the one-p
ort, The structure of the algorithm is based on a genealogical tree, w
hose nodes represent specific polyhedral augmented circuits, All branc
hes of the PWL one-port characteristic can be captured by checking the
solution domains of these circuits, From the numerical point of view,
the investigation of the nodes requires the execution of related Line
ar Programming (LP) problems, one for each node, However, the similar
structure of their tableaux allows the reduction of the overall CPU ti
me.