851 citations · 1.2k across the 29 of their papers we have counts for
4 papers · 2 filters
Lyapunov functions obtained from first order approximations
V Andrieu
In this paper, we study the construction of Lyapunov functions based on first order approximations. In a first part, the study of local exponential stability property of a transver…
State and parameter estimation: a nonlinear Luenberger observer approach
Chouaib Afri, Vincent Andrieu, Laurent Bako +1
The design of a nonlinear Luenberger observer for a parametrized linear SISO (single-input single-output) system is studied. From an observability assumption of the system, the exi…
Expressing an observer in preferred coordinates by transforming an injective immersion into a surjective diffeomorphism
Pauline Bernard, Vincent Andrieu, Laurent Praly
When designing observers for nonlinear systems, the dynamics of the given system and of the designed observer are usually not expressed in the same coordinates or even have states…
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…