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A note on the Liénard-Chipart criterion and roots of some families of polynomials

2014/07/17 by Renato Belinelo Bortolatto, Renato B. Bortolatto, Bortolatto, Renato B.
Engineering · Mathematics · #65H04 #93D09 #Advanced Differential Equations and Dynamical Systems #Control and Dynamics of Mobile Robots #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #math.DS #msc:65H04 #msc:93D09

paper · pdf · doi:10.48550/arxiv.1407.4852

4 pages

openalex publication_date 2014/07/17 · arxiv created 2014/07/26 · arxiv updated 2014/07/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present some inequalities that provide different sufficient conditions for an univariate monic polynomial to be Hurwitz unstable. These are motivated by difficult control problems where direct application of the Liénard-Chipart criterion is not feasible. Hurwitz stability of some polynomials of degree five is also discussed. These results may be interpreted as stability results for some interval polynomials.

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