The MID property for a second-order neutral time-delay differential equation

This paper considers the Multiplici- ty-Induced-Dominancy (MID) property for second order neutral time-delay differential equations. Necessary and sufficient conditions for the exis- tence of a root of maximal multiplicity are given in terms of this root and the parameters (includ- ing the delay) of the given equation. Links with dominancy of this root and with the exponential stability property of the solution of the consid- ered equations are given. Finally, we illustrate the obtained results on the classical oscillator control problem.

Mots clés

neutral delay system dominant root root of maximal multiplicity exponential stability neutral delay system

Domaines

Mathématiques [math] Sciences de l'ingénieur [physics]

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MID_Neutral_2nd_Order_ICSTCC_2020 (4).pdf (501.03 Ko)

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Amina BENARAB : Connectez-vous pour contacter le contributeur

https://hal.science/hal-02934532

Soumis le : mercredi 9 septembre 2020-14:17:00

Dernière modification le : jeudi 29 août 2024-16:00:17

Archivage à long terme le : jeudi 3 décembre 2020-01:08:11

Dates et versions

hal-02934532 , version 1 (09-09-2020)

Identifiants

HAL Id : hal-02934532 , version 1
DOI : 10.1109/ICSTCC50638.2020.9259779

Citer

Amina Benarab, Islam Boussaada, Karim Trabelsi, Guilherme Mazanti, Catherine Bonnet. The MID property for a second-order neutral time-delay differential equation. 24th International Conference on System Theory, Control and Computing (ICSTCC 2020), Oct 2020, Sinaia, Romania. ⟨10.1109/ICSTCC50638.2020.9259779⟩. ⟨hal-02934532⟩

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