On the number of solutions of piecewise-linear resistive circuits

On the number of solutions of piecewise-linear resistive circuits

Topological conditions are proved which allow an upper bound to be found for the number of DC operating points of a piecewise-linear circuit. The circuits may be nonreciprocal. The conditions amount to checking whether certain voltage and current orientations exist on the graph of the circuit. This...

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Veröffentlicht in:IEEE transactions on circuits and systems 1989-03, Vol.36 (3), p.393-402
Hauptverfasser: Hasler, M.J., Schnetzler, C.
Format: Artikel
Sprache:eng
Schlagworte:
Analog circuits
Application software
Applied sciences
Capacitors
Circuit properties
Diodes
Electric, optical and optoelectronic circuits
Electronic circuits
Electronics
Equivalent circuits
Exact sciences and technology
Operational amplifiers
Piecewise linear techniques
Resistors
Signal processing
Upper bound
Voltage
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Beschreibung
Zusammenfassung:Topological conditions are proved which allow an upper bound to be found for the number of DC operating points of a piecewise-linear circuit. The circuits may be nonreciprocal. The conditions amount to checking whether certain voltage and current orientations exist on the graph of the circuit. This can be implemented on a computer and it can be used for designing piecewise-linear circuits with prescribed DC operating points.< >
ISSN:0098-4094
1558-1276
DOI:10.1109/31.17586