120 citations · 777 across the 45 of their papers we have counts for
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Finite-dimensional predictor-based feedback stabilization of a 1D linear reaction-diffusion equation with boundary input delay
Delphine Bresch-Pietri, Christophe Prieur, Emmanuel Trélat
We consider a one-dimensional controlled reaction-diffusion equation, where the control acts on the boundary and is subject to a constant delay. Such a model is a paradigm for more…
Stabilization of a linear Korteweg-de Vries equation with a saturated internal control
Swann Marx, Eduardo Cerpa, Christophe Prieur +1
This article deals with the design of saturated controls in the context of partial differential equations. It is focused on a linear Korteweg-de Vries equation, which is a mathemat…
Combining a backstepping controller with a local stabilizer
Humberto Stein Shiromoto, Vincent Andrieu, Christophe Prieur
We consider nonlinear control systems for which there exist some structural obstacles to the design of classical continuous stabilizing feedback laws. More precisely, it is studied…
Relaxed and hybridized backstepping
Humberto Stein Shiromoto, Vincent Andrieu, Christophe Prieur
In the present work, we consider nonlinear control systems for which there exist structural obstacles to the design of classical continuous backstepping feedback laws. We conceive…
A Region-Dependent Gain Condition for Asymptotic Stability
Humberto Stein Shiromoto, Vincent Andrieu, Christophe Prieur
A sufficient condition for the stability of a system resulting from the interconnection of dynamical systems is given by the small gain theorem. Roughly speaking, to apply this the…