This paper discusses the number of solutions for a class of piecewise-linear equations related to two-transistor circuits compised 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 solution for the equations is at most 5.
|Number of pages||8|
|Journal||Research Reports on Information Science and Electrical Engineering of Kyushu University|
|Publication status||Published - Mar 1 2001|
All Science Journal Classification (ASJC) codes
- Computer Science(all)
- Electrical and Electronic Engineering