A Hadamard-type open map theorem for submersions and applications to completeness results in control theory

DOI10.1007/s10231-014-0471-xzbMath1367.46003arXiv1408.3707OpenAlexW2020919127MaRDI QIDQ268203

Daniele Morbidelli, Andrea Bonfiglioli, Annamaria Montanari

Publication date: 14 April 2016

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.3707

zbMATH Keywords

complete vector fieldsHadamard inverse map theoreminvolutive vector fieldsMoore-Penrose pseudoinversesubmersion

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Geometric methods (93B27) Control problems involving ordinary differential equations (34H05) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Differentiable maps on manifolds (58C25)

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