On Sussmann theorem for orbits of sets of vector fields on Banach manifolds
DOI10.1016/J.BULSCI.2011.12.007zbMath1252.58003arXiv1111.5976OpenAlexW2087380742MaRDI QIDQ441905
A. Lathuille, Fernand Pelletier
Publication date: 8 August 2012
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.5976
accessibilityinvariancecontrol theoryintegral manifoldBanach manifoldweak Banach submanifoldweak distribution\(l^{1}\)-distribution\(l^{1}\)-orbitfamilies of vector fieldsuniform local boundness
Nonlinear differential equations in abstract spaces (34G20) Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Local theory of Banach spaces (46B07) Control problems involving ordinary differential equations (34H05) Invariant subspaces of linear operators (47A15) Dynamics induced by flows and semiflows (37C10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Foliations (differential geometric aspects) (53C12) Nonseparable Banach spaces (46B26) Local submanifolds (53B25) Differentiability questions for infinite-dimensional manifolds (58B10)
Related Items (3)
Cites Work
- Integrability of weak distributions on Banach manifolds
- An observer for infinite-dimensional dissipative bilinear systems
- Optimality problem for infinite dimensional bilinear systems
- Hebbare lokalkonvexe Räume
- Orbits of Families of Vector Fields and Integrability of Distributions
- Condition $\left( {\text{C}} \right)$ and geodesics on Sobolev manifolds
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