Abstract
Given a finite family of analytic vector fieldsF in a neighborhood of the origin of ℝn, we are interested in the following property: the origin is an interior point of the reachable set from the origin itself at each positive instant. We describe a class of small perturbations, acting on the terms of the Taylor expansion of the vector fields ofF from some order on, which do not destroy the property above.
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Communicated by R. Conti
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Bacciotti, A. A class of perturbations which do not affect local controllability. J Optim Theory Appl 44, 201–211 (1984). https://doi.org/10.1007/BF00935436
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DOI: https://doi.org/10.1007/BF00935436