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Conference Papers Year : 2019

Real curve analysis and stability of time-delay systems

Abstract

In this work, we investigate the asymptotic stability of LTI differential commensurate time-delay systems whose dynamics are defined in the frequency domain by quasi-polynomials of the form f (s, τ) = m j=0 p j (s) e −j τ s. We propose a new approach for studying the stability with respect to the delay: we determine the asymptotic behavior of the roots of the quasi-polynomial near to the critical pairs of f (s, τ) by analysing the intersection of an associated algebraic space curve with sufficiently refined 3D real boxes. Compared to the existing methods, our method does not require any Puiseux series computation.
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hal-04262761 , version 1 (27-10-2023)

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Yacine Bouzidi, Adrien Poteaux. Real curve analysis and stability of time-delay systems. 7th IFAC Symposium on System Structure and Control SSSC 2019, Daniela Danciu, Sep 2019, Sinaia (Romania), Romania. pp.94-98, ⟨10.1016/j.ifacol.2019.11.033⟩. ⟨hal-04262761⟩
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