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Invariant measures and controllability of finite systems on compact manifolds

Abstract : A control system is said to be finite if the Lie algebra generated by its vector fields is finite dimensional. Sufficient conditions for such a system on a compact manifold to be controllable are stated in terms of its Lie algebra. The proofs make use of the Equivalence Theorem of \cite{Jouan09} and of the existence of an invariant measure on certain compact homogeneous spaces.
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https://hal.archives-ouvertes.fr/hal-00541485
Contributor : Philippe Jouan Connect in order to contact the contributor
Submitted on : Tuesday, November 30, 2010 - 3:43:36 PM
Last modification on : Tuesday, October 19, 2021 - 4:13:31 PM
Long-term archiving on: : Tuesday, March 1, 2011 - 3:03:05 AM

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  • HAL Id : hal-00541485, version 1

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Philippe Jouan. Invariant measures and controllability of finite systems on compact manifolds. 2010. ⟨hal-00541485⟩

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