A method for identification of asymptotically stable equilibrium points of a certain class of dynamic circuits

The paper deals with nonlinear dynamic circuits driven by dc voltage and current sources. The problem considered is as follows. A class of nonlinear-resistive circuits having a unique or multiple operating points is considered. Any circuit of this class generates infinitely many dynamic circuits so that each operating point of the resistive circuit is an equilibrium point of all these dynamic circuits. Hence, the question arises as to how to identify these operating points of a given resistive circuit, which are asymptotically stable equilibrium states of any dynamic circuit belonging to an associated class, in this paper, a method is developed enabling us to solve this problem for a certain class of dynamic circuits. The method is based on analysis of the resistive circuit only. It is simple and easy for implementation. Two numerical examples illustrate the proposed approach.