학술논문

The index of the standard circuit equations of passive RLCTG-networks does not exceed 2
Document Type
Conference
Author
Source
1998 IEEE International Symposium on Circuits and Systems (ISCAS) Circuits and systems Circuits and Systems (ISCAS), 1998 IEEE International Symposium on. 3:419-422 vol.3 1998
Subject
Components, Circuits, Devices and Systems
Communication, Networking and Broadcast Technologies
Engineered Materials, Dielectrics and Plasmas
RLC circuits
Nonlinear equations
Capacitors
Transformers
Gyrators
Coupling circuits
Inductance
Differential equations
Capacitance
Resistors
Language
Abstract
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.