Local properties of exponential contractive systems

Dongjun Wu; Guangren Duan

doi:10.1016/j.automatica.2021.109844

Local properties of exponential contractive systems

Dongjun Wu^*
, Guangren Duan

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology
Université Paris-Saclay

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	109844
Journal	Automatica
Volume	132
DOIs	https://doi.org/10.1016/j.automatica.2021.109844
State	Published - Oct 2021

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title = "Local properties of exponential contractive systems",

abstract = "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.",

author = "Dongjun Wu and Guangren Duan",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Ltd",

year = "2021",

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doi = "10.1016/j.automatica.2021.109844",

language = "英语",

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AB - 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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DO - 10.1016/j.automatica.2021.109844

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VL - 132

JO - Automatica

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Local properties of exponential contractive systems

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