The generalized linear complementarity problem applied to the complete analysis of resistive piecewise-linear circuits

Author

Vandenberghe, Lieven ; De Moor, Bart L. ; Vandewalle, Joos

Author_Institution

Dept. of Electr. Eng., Katholieke Univ. of Leuven, Heverlee, Belgium

Volume

36

Issue

11

fYear

1989

fDate

11/1/1989 12:00:00 AM

Firstpage

1382

Lastpage

1391

Abstract

An important application of complementarity theory consists in solving sets of piecewise-linear equations and hence in the analysis of piecewise-linear resistive circuits. The authors show how a generalized version of the linear complementarity problem can be used to analyze a broad class of piecewise-linear circuits. Nonlinear resistors that are neither voltage nor current controlled can be allowed, and no restrictions on the linear part of the circuit have to be made. As a second contribution, the authors describe an algorithm for the solution of the generalized complementarity problem and show how it can be applied to yield a complete description of the DC solution set as well as of driving-point and transfer characteristics

Keywords

nonlinear network analysis; piecewise-linear techniques; DC solution set; driving point characteristics; generalized linear complementarity problem; nonlinear resistors; resistive piecewise-linear circuits; transfer characteristics; Computer science; Diodes; Geometry; Information systems; Laboratories; Nonlinear circuits; Nonlinear equations; Piecewise linear techniques; Resistors; Voltage control;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.41295

Filename

41295