## Abstract

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 i_{k} and v_{k} of the vectors i and v respectively are subject to v_{k}i_{k} = 0, v_{k} ≤ 0, and i_{k} ≥ 0. We show that the number of solutions for the equation is at most 5.

Original language | English |
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Pages (from-to) | 103-105 |

Number of pages | 3 |

Journal | Research Reports on Information Science and Electrical Engineering of Kyushu University |

Volume | 6 |

Issue number | 1 |

Publication status | Published - 2001 |

## All Science Journal Classification (ASJC) codes

- Electrical and Electronic Engineering
- Hardware and Architecture
- Engineering (miscellaneous)