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Communication Dans Un Congrès Année : 2013

On transverse exponential stability and its use in incremental stability, observer and synchronization

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Bayu Jayawardhana
ITM
Laurent Praly

Résumé

We study the relation between the exponential stability of an invariant manifold and the existence of a Riemannian metric for which the flow is "transversally" contracting. More precisely, 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 in the manifold is exponentially stable; iii). There exists a Riemannian metric for which the flow is "transversally" contracting. We show the relevance of these results in the study of incremental stability, observer design and synchronization.
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Dates et versions

hal-00971475 , version 1 (02-04-2014)

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Vincent Andrieu, Bayu Jayawardhana, Laurent Praly. On transverse exponential stability and its use in incremental stability, observer and synchronization. Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on, Dec 2013, Firenze, Italy. pp.5915 - 5920, ⟨10.1109/CDC.2013.6760822⟩. ⟨hal-00971475⟩
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