DocumentCode :
1611924
Title :
Hybrid matrix minors from tableau applied to a multiport generalization of NDR related to stability
Author :
Chaiken, Seth
Author_Institution :
Dept. of Comput. Sci., State Univ. of New York, Albany, NY, USA
Volume :
3
fYear :
1998
Firstpage :
395
Abstract :
Grassmann coordinates and a generalization of Cramer´s rule are used to express every minor of every well-defined hybrid H or other description matrix of a linear t-ported network as a quotient of tableau minors. We give a multiple port generalization Green and Willson´s theory that relates the sign of differential resistance of one inserted port to how the DC operating point potential stability changes when the (short or open) termination of the inserted port is changed. The determinant of the hybrid matrix |H| here generalizes resistance. Second, a universal topological formula for all the miners of H (and other descriptions) is given. Matroid theory simplifies some proofs
Keywords :
circuit stability; linear network analysis; matrix algebra; multiport networks; negative resistance; network topology; Cramer rule; DC operating point potential stability; Grassmann coordinates; Green/Willson theory; NDR; description matrix; hybrid matrix minors; linear t-ported network; matroid theory; multiport generalization; negative differential resistance; tableau minors; universal topological formula; Admittance; Circuit analysis computing; Circuit stability; Computer science; Equations; Feedback circuits; Impedance; Resistors; Stability analysis; Voltage;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Circuits and Systems, 1998. ISCAS '98. Proceedings of the 1998 IEEE International Symposium on
Conference_Location :
Monterey, CA
Print_ISBN :
0-7803-4455-3
Type :
conf
DOI :
10.1109/ISCAS.1998.704033
Filename :
704033
Link To Document :
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