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math.DS2016★ 1 cited
Transverse exponential stability and applications
Vincent Andrieu, Bayu Jayawardhana, Laurent Praly
We investigate how the following properties are related to each other: i)-A manifold is "transversally" exponentially stable; ii)-The "transverse" linearization along any solution…
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…