Mixed potential function for a class of memristive circuits

摘要

This paper recounts the idea of finding a mixed potential function which subsumes the dynamics of a memristor. The main belief in writing this paper is for continuing the theory of mixed potential function in relation to memristive circuits. In this paper we assigned a new state variables for memristive circuits. The capacitor and inductor has voltage and current as state variables. Therefor we define a new state variable as flux or charge for the memristive circuit. Especially in a case considering memristor in a circuit is a motivation to model the nonlinear circuit in the Brayton Moser form. By means of different class of nonlinear circuits the mixed potential has been constructed by a fine approach in light of first order, second order and third order circuits. This mixed potential function can be further used to prove the stability of circuits under certain conditions, by using theorems developed by Brayton and Moser.