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20092024
most citedHomogeneous Approximation, Recursive Observer Design, and Output Feedback

851 citations · 1.2k across the 29 of their papers we have counts for

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Showing 2015Show all

8 papers · 1 filter

math.DS2015

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…

math.DS2015

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…

math.AP2015

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…

math.DS2015

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…

math.OC2015★ 2 cited

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…

math.OC2015★ 3 cited

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…