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 |
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| container_end_page | 402 |
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| container_issue | 3 |
| container_start_page | 393 |
| container_title | IEEE transactions on circuits and systems |
| container_volume | 36 |
| creator | Hasler, M.J. Schnetzler, C. |
| description | 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.< > |
| doi_str_mv | 10.1109/31.17586 |
| format | Article |
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| identifier | ISSN: 0098-4094 |
| ispartof | IEEE transactions on circuits and systems, 1989-03, Vol.36 (3), p.393-402 |
| issn | 0098-4094 1558-1276 |
| language | eng |
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| source | IEEE Electronic Library (IEL) |
| subjects | 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 |
| title | On the number of solutions of piecewise-linear resistive circuits |
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