This paper discusses the number of solutions for a class of piecewise-linear equations related to two-transistor circuits composed of transistors, linear passive resistors, and DC sources. By using Ebers-Moll model, a transistor is replaced by two nonlinear resistors and two linear current-controlled current sources. We assume in this paper that the nonlinear resistors are ideal diodes. Then a circuit equation for the above circuit is a piecewise-linear equation Ti + Gv = b where each component ik and vk of the vectors i and v respectively are subject to vkik = 0, vk ≤ 0, and ik ≥ 0. We show that the number of solutions for the equation is at most 5.
|ジャーナル||Research Reports on Information Science and Electrical Engineering of Kyushu University|
|出版ステータス||出版済み - 2001|
All Science Journal Classification (ASJC) codes
- Electrical and Electronic Engineering
- Hardware and Architecture
- Engineering (miscellaneous)