Title :
Piecewise linear resistive networks with unique solutions
Author :
Prasad, V.C. ; Prem Prakash, V.
Author_Institution :
Indian Institute of Technology, Department of Electrical Engineering, New Delhi, India
Abstract :
New conditions for the existence of unique solutions of piecewise linear resistive networks are presented. They require that certain submatrices of unbounded regions are all positive definite or all negative definite. The applicability of these conditions can be enhanced by using a suitable transformation.
Keywords :
matrix algebra; nonlinear network analysis; piecewise-linear techniques; Jacobian determinant; homeomorphism; nonlinear network analysis; piecewise linear resistive networks; submatrices; transformation; unbounded regions; unique solutions;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19860061
