The MID property for a second-order neutral time-delay differential equation - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2020

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

Abstract

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.
Fichier principal
Vignette du fichier
MID_Neutral_2nd_Order_ICSTCC_2020 (4).pdf (501.03 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

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

Identifiers

Cite

Amina Benarab, Islam Boussaada, Catherine Bonnet, Karim Trabelsi, Guilherme Mazanti. 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⟩
314 View
368 Download

Altmetric

Share

Gmail Facebook X LinkedIn More