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20092025
most citedLyapunov stability analysis of a string equation coupled with an ordinary differential system

42 citations · 166 across the 19 of their papers we have counts for

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12 papers · 1 filter

math.OC2022

Systems with both constant and time-varying delays: a switched systems approach and application to observer-controller co-design

Thiago Alves Lima, Matteo Della Rossa, Frédéric Gouaisbaut +2

In this paper, we study the application of switched systems stability criteria to derive delay-dependent conditions for systems affected by both a constant and a time-varying delay…

math.OC2022

On the necessity of sufficient LMI conditions for time-delay systems arising from Legendre approximation

Mathieu Bajodek, Alexandre Seuret, Frédéric Gouaisbaut

This work is dedicated to the stability analysis of time-delay systems with a single constant delay using the Lyapunov-Krasovskii theorem. This approach has been widely used in the…

math.OC2022★ 29 cited

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

Mathieu Bajodek, Frédéric Gouaisbaut, Alexandre Seuret

Recently, sufficient conditions of stability or instability for time-delay systems have been proven to be necessary. In this way, a remarkable necessary and sufficient condition ha…

math.OC2021★ 9 cited

On sensor quantization in linear control systems: Krasovskii solutions meet semidefinite programming

Francesco Ferrante, Frédéric Gouaisbaut, Sophie Tarbouriech

Stability and stabilization for linear state feedback control systems in the presence of sensor quantization are studied. As the closed-loop system is described by a discontinuous…

math.OC2021

Lyapunov Stability Analysis of a Mass-Spring system subject to Friction

Matthieu Barreau, Sophie Tarbouriech, Frederic Gouaisbaut

This paper deals with the stability analysis of a mass-spring system subject to friction using Lyapunov-based arguments. As the described system presents a stick-slip phenomenon, t…

math.OC2020

Integral Quadratic Constraints on Linear Infinite-dimensional Systems for Robust Stability Analysis

Matthieu Barreau, Carsten W. Scherer, Frederic Gouaisbaut +1

This paper proposes a framework to assess the stability of an ordinary differential equation which is coupled to a 1D-partial differential equation (PDE). The stability theorem is…