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Effects of Roots of Maximal Multiplicity on the Stability of Some Classes of Delay Differential-Algebraic Systems: The Lossless Propagation Case

Abstract : It has been observed in several recent works that, for some classes of linear time-delay systems, spectral values of maximal multiplicity are dominant, a property known as multiplicity-induced-dominancy (MID). This paper starts the investigation of whether MID holds for delay differential-algebraic systems by considering a single-delay system composed of two scalar equations. After motivating this problem and recalling some recent results for retarded delay differential equations, we prove that the MID property holds for the delay differential-algebraic system of interest and present some applications.
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https://hal.archives-ouvertes.fr/hal-02463452
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Submitted on : Monday, July 6, 2020 - 1:06:48 PM
Last modification on : Wednesday, April 13, 2022 - 2:20:04 PM

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Guilherme Mazanti, Islam Boussaada, Silviu-Iulian Niculescu, Yacine Chitour. Effects of Roots of Maximal Multiplicity on the Stability of Some Classes of Delay Differential-Algebraic Systems: The Lossless Propagation Case. MTNS 2021 - 24th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2021), Aug 2021, Cambridge, United Kingdom. pp.764--769, ⟨10.1016/j.ifacol.2021.06.177⟩. ⟨hal-02463452v2⟩

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