Lorenzo Liverani

Generalized Routh-Hurwitz Stability Criterion

About this tool: This implements Algorithm 1 from Hastir & Muolo (2023) for determining stability conditions of monic polynomials with complex coefficients.

Reference:
Anthony Hastir, Riccardo Muolo, A generalized Routh–Hurwitz criterion for the stability analysis of polynomials with complex coefficients: Application to the PI-control of vibrating structures, IFAC Journal of Systems and Control, Volume 26, 2023, 100235, ISSN 2468-6018.
https://doi.org/10.1016/j.ifacsc.2023.100235

Polynomial form: \(P(s) = s^n + \sum_{k=1}^{n} (a_k + ib_k)s^{n-k}\)

Input Polynomial

Results

Stability Conditions