Gunther Reißig.
The index of the standard circuit equations of passive RLCTG-networks does not exceed 2.
Proc. 1998 IEEE Int. Symp. Circ. Systems (ISCAS), Monterey, CA, May 31 - June 3, 1998, vol. 3, pp. 419-422.
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In Section 3, transformers and gyrators have to be linear; Theorem 3.2. is correct for that case.
Linear and nonlinear networks composed of independent sources, resistive, capacitive and inductive subnetworks, as well as ideal transformers and gyrators (RLCTG-networks) are investigated. Branches may be arbitrarily coupled within the resistive, capacitive and inductive subnetworks and these subnetworks may be non-reciprocal. It is shown that the tractability index of the standard circuit equations of such networks does not exceed 2, provided that the resistance, capacitance, and inductance matrices of the subnetworks are positive definite.
BibTeX entry:
 author = {Gunther Rei{\ss}ig},
 title = {The index of the standard circuit equations of passive {RLCTG}--networks does not exceed $2$},
 booktitle = {Proc. 1998 IEEE Int. Symp. on Circuits and Systems (ISCAS), Monterey, CA, } # may # { 31 -- } # jun # { 3},
 year = 1998,
 volume = 3,
 pages = {419-422},
 doi = {10.1109/ISCAS.1998.704039}

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