UNIQUENESS OF SOLUTIONS OF NETWORKS WITH 2 TERMINAL PIECEWISE-LINEAR RESISTORS

For networks containing resistors, independent sources,gyrators, ideal transformers, diodes and other saturating monotone piecewise linear r esistors, anew condition is proposed to guarantee uniqueness of soluti ons. This is both necessary and sufficient and is easy to test. It req uires that the characteristics should satisfy a condition with the nul l vectors of the matrix of the linear part of the network whenever it is singular. Diodes with infinite reverse resistance are also allowed in the formulation.