Local controllability does imply global controllability
Boscain, U., Cannarsa, D., Franceschi, V., & Sigalotti, M. (2023). Local controllability does imply global controllability. Comptes Rendus Mathematique, 361, 1813-1822. https://doi.org/10.5802/crmath.538
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Comptes Rendus MathematiqueDate
2023Copyright
© 2023 the Authors
We say that a control system is locally controllable if the attainable set from any state x contains an open neighborhood of x, while it is controllable if the attainable set from any state is the entire state manifold. We show in this note that a control system satisfying local controllability is controllable. Our self-contained proof is alternative to the combination of two previous results by Kevin Grasse.
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Academie des SciencesISSN Search the Publication Forum
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https://converis.jyu.fi/converis/portal/detail/Publication/197542391
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Academy Project, AoFAdditional information about funding
This work was partially supported by the ANR-DFG project ANR-22-CE92-0077-01 CoRoMo. The second author is supported by the Academy of Finland (grant 322898 ‘Sub-Riemannian Geometry via Metricgeometry and Lie-group Theory’). This project has received financial support from the CNRS through the MITI interdisciplinary programs.License
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