99 citations · 234 across the 16 of their papers we have counts for
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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…
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…
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…
Practical Stability Analysis of a Drilling Pipe under Friction with a PI-Controller
Matthieu Barreau, Frédéric Gouaisbaut, Alexandre Seuret
This paper deals with the exponential stability of a drilling pipe controlled by a PI controller. The model used leads to a coupled ODE / PDE and is consequently of infinite dimens…
Stabilization of an unstable wave equation using an infinite dimensional dynamic controller
Matthieu Barreau, Frédéric Gouaisbaut, Alexandre Seuret
This paper deals with the stabilization of an anti-stable string equation with Dirichlet actuation where the instability appears because of the uncontrolled boundary condition. The…
Exponential Lyapunov Stability Analysis of a Drilling Mechanism
Matthieu Barreau, Alexandre Seuret, Frédéric Gouaisbaut
This article deals with the stability analysis of a drilling system which is modelled as a coupled ordinary differential equation / string equation. The string is damped at the two…