Eigenvalue-Based Stability Predictor with Symbolic & Numeric

An app to compute the characteristic equation from matrices (symbolic or numeric), enabling stability prediction through eigenvalue analysis

This app allows users to analyze the stability of linear systems by computing the characteristic equation of a given matrix. It supports two input modes:

• Symbolic Mode: Enter matrices using symbolic variables (via MATLAB Symbolic Math Toolbox).
• Numeric Mode: Enter standard numeric matrices.

Unlike traditional apps, this one directly generates the characteristic polynomial, allowing users to extract eigenvalues and gain insight into system stability.

For higher-degree polynomials or complex root scenarios, this app can be used alongside the previously built app:

Routh-Hurwitz Stability Analyzer

Input the algebraic polynomial from this app into the Routh-Hurwitz app to check system stability efficiently.

Features:

• Dual-mode input: symbolic and numeric
• Automatic generation of the characteristic equation
• Ideal for control system students and researchers
• Works seamlessly with the Routh-Hurwitz app for complete analysis

Harshit Pranjal

Birla Institute of Technology, Mesra

Department of Mathematics

[e-mail]