Order of Legendre-LMI conditions to assess stability of time-delay systems - LAAS - Laboratoire d'Analyse et d'Architecture des Systèmes Access content directly
Conference Papers Year : 2022

Order of Legendre-LMI conditions to assess stability of time-delay systems

Abstract

This paper investigates the stability analysis of time-delay systems through Lyapunov arguments. Using the existence of a complete Lyapunov-Krasovskii functional and relying on the polynomial approximation theory, our main goal is to approximate the complete Lyapunov functional and to take profit of the supergeometric convergence rate of the truncated error part. Necessary and sufficient conditions in the linear matrix inequality (LMI) framework for sufficiently large approximated orders are consequently proposed. Moreover, an estimation of the necessary order is provided analytically with respect to system parameters.
Fichier principal
Vignette du fichier
22_IFAC_TDS.pdf (301.19 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03666571 , version 1 (12-05-2022)
hal-03666571 , version 2 (13-02-2023)

Identifiers

  • HAL Id : hal-03666571 , version 2

Cite

Mathieu Bajodek, Alexandre Seuret, Frédéric Gouaisbaut. Order of Legendre-LMI conditions to assess stability of time-delay systems. 17th IFAC Workshop on Time Delay Systems (TDS), Sep 2022, Montréal, Canada. pp.175-180. ⟨hal-03666571v2⟩
27 View
3 Download

Share

Gmail Facebook Twitter LinkedIn More