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Routh-Hurwitz Stability Analyzer: A MATLAB App for Symbolic and Numeric Evaluation of LTI Systems

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This paper presents a MATLAB-based application titled Routh-Hurwitz Stability Analyzer, designed to analyze the stability of linear time-invariant (LTI) systems using the classical Routh-Hurwitz criterion. The app accepts both symbolic and numeric inputs and automatically generates the corresponding polynomial, constructs the Routh-Hurwitz table, evaluates sign changes, plots system roots, and provides a stability verdict. The application serves as an educational and research verification tool to help reduce human errors in system stability analysis.
Institute of Electrical and Electronics Engineers (IEEE)
Title: Routh-Hurwitz Stability Analyzer: A MATLAB App for Symbolic and Numeric Evaluation of LTI Systems
Description:
This paper presents a MATLAB-based application titled Routh-Hurwitz Stability Analyzer, designed to analyze the stability of linear time-invariant (LTI) systems using the classical Routh-Hurwitz criterion.
The app accepts both symbolic and numeric inputs and automatically generates the corresponding polynomial, constructs the Routh-Hurwitz table, evaluates sign changes, plots system roots, and provides a stability verdict.
The application serves as an educational and research verification tool to help reduce human errors in system stability analysis.

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