Controllability on the group of diffeomorphisms

DOI10.1016/j.anihpc.2009.07.003zbMath1188.93016OpenAlexW2141900033MaRDI QIDQ1044400

Andrei A. Agrachev, Marco Caponigro

Publication date: 18 December 2009

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/78944

zbMATH Keywords

controllabilitydiffeomorphismsgeometric control

Mathematics Subject Classification ID

Controllability (93B05) Geometric methods (93B27) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05)

Related Items (10)

Sub-Riemannian geometry and geodesics in Banach manifolds ⋮ Deep neural networks on diffeomorphism groups for optimal shape reparametrization ⋮ Geometric numerical integration. Abstracts from the workshop held March 28 -- April 3, 2021 (hybrid meeting) ⋮ SUB-RIEMANNIAN STRUCTURES ON GROUPS OF DIFFEOMORPHISMS ⋮ Control in the Spaces of Ensembles of Points ⋮ Controllability on infinite-dimensional manifolds: a Chow-Rashevsky theorem ⋮ Ensemble controllability by Lie algebraic methods ⋮ Geometric hydrodynamics and infinite-dimensional Newton’s equations ⋮ Sub-Riemannian geometry on infinite-dimensional manifolds ⋮ Mean-field sparse Jurdjevic–Quinn control

Cites Work

• Unnamed Item
• Control theory from the geometric viewpoint.
• Foliations and groups of diffeomorphisms
• Orbits of Families of Vector Fields and Integrability of Distributions
• A generic property of couples of vector fields
• On Everywhere Dense Imbedding of Free Groups in Lie Groups

This page was built for publication: Controllability on the group of diffeomorphisms