A new method to analyse the unique steady state of nonlinear nonautonomous circuits

Abstract

A new method to prove the unique steady state of nonlinear nonautonomous circuits by vector comparison is introduced. The main results obtained in this paper show that the unique steady state of nonlinear nonautonomous circuits can be determined by Hurwitz conditions of a constant matrix. The restriction to the elements of the matrix is just that the slope of the constitutive relation is bounded, which is a much looser condition than the demands put forward by previously published papers. The new criteria in this paper have much wider applicability than the results already known.