State Space Analysis of Memristor Based Series and Parallel RLCM Circuits

TL;DR

This paper analyzes the stability of memristor-based RLC circuits using state space methods, showing that memristors do not affect system stability and eigenvalues have negative real parts.

Contribution

It applies state space analysis to memristor-based circuits and demonstrates that memristors do not alter the inherent stability of RLC circuits.

Findings

Eigenvalues have negative real parts indicating stability.

Addition of memristors does not affect system stability.

Eigenvalues are located in the left half of the S plane.

Abstract

The present paper investigates state space analysis of memristor based series and parallel RLCM circuits. The stability analysis is carried out with the help of eigenvalues formulation method, pole-zero plot and transient response of system. The state space analysis is successfully applied and eigenvalues of the two circuits are calculated. It is found that the, system follows negative real part of eigenvalues. The result clearly shows that addition of memristor in circuits will not alter the stability of system. It is found that systems poles located at left hand side of the S plane, which indicates stable performance of system. It clearly evident that eigenvalues has negative real part hence two systems are internally stable.