Necessary and sufficient stability condition for time-delay systems arising from Legendre approximation

M Bajodek, F Gouaisbaut… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Recently, necessary conditions of stability for time-delay systems based on the handling of
the Lyapunov–Krasovskii functional have been studied in the literature giving rise to a new …

Stability Conditions for Linear Semi-Autonomous Delay Differential Equations

V Malygina, K Chudinov - Mathematics, 2023 - mdpi.com
We present a new method for obtaining stability conditions for certain classes of delay
differential equations. The method is based on the transition from an individual equation to a …

Stability analysis of linear ODE-PDE interconnected systems

M Bajodek - 2022 - laas.hal.science
Infinite dimensional systems allow to model a large panel of physical phenomena for which
the state variables evolve both temporally and spatially. This manuscript deals with the …

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

M Bajodek, A Seuret, F Gouaisbaut - IFAC-PapersOnLine, 2022 - Elsevier
This paper investigates the stability analysis of time-delay systems through Lya-punov
arguments. Using the existence of a complete Lyapunov-Krasovskii functional and relying …

[PDF][PDF] Mathieu BAJODEK

A SEURET - 2022 - core.ac.uk
Les systèmes de dimension infinie permettent de modéliser un large spectre de
phénomènes physiques pour lesquels les variables d'état évoluent temporellement et …

[PDF][PDF] Necessary and sufficient stability condition for time-delay systems arising from Legendre polynomial approximation

M Bajodek, F Gouaisbaut, A Seuret - matrix - arxiv.org
Recently, necessary conditions of stability for timedelay systems based on the handling of
the Lyapunov-Krasovskii functional have been studied in the literature giving rise to a new …