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
complete vector fieldsHadamard inverse map theoreminvolutive vector fieldsMoore-Penrose pseudoinversesubmersion
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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