Local properties of exponential contractive systems

In this technical note, we prove that exponential contraction can be deduced from the behaviour of the tangent lift dynamics on a neighbourhood of the zero section, instead of on the whole tangent bundle. The result holds for general nonlinear systems evolving on Riemannian manifolds.

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Bibliographic Details
Published in:Automatica (Oxford) 2021-10, Vol.132, p.109844, Article 109844
Main Authors: Wu, Dongjun, Duan, Guangren
Format: Article
Language:English
Subjects:
Nonlinear Sciences
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Description
Summary:In this technical note, we prove that exponential contraction can be deduced from the behaviour of the tangent lift dynamics on a neighbourhood of the zero section, instead of on the whole tangent bundle. The result holds for general nonlinear systems evolving on Riemannian manifolds.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2021.109844