MINES ParisTech CAS - Centre automatique et systèmes

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

Authors: V. Andrieu, B. Jayawardhana, L. Praly,Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on, pp. 5915 - 5920, 10-13 Dec. 2013, Firenze DOI: 10.1109/CDC.2013.6760822
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.
Download PDF
BibTeX:
@Article{,
author = {B. Jayawardhana V. Andrieu, L. Praly},
title = {On transverse exponential stability and its use in incremental stability, observer and synchronization},
journal = {Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on},
volume = {},
number = {},
pages = {5915 - 5920},
year = {2013},
}