Local controllability of non-linear systems: An example |
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| Authors: | Gianna Stefani |
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| Affiliation: | Dipartimento Sistemi e Informatica, Universitá di Firenze, Via S. Marta 3, 50136 Firenze, Italia |
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| Abstract: | An example of a locally controllable nonlinear system on R3 is given. The system is of the type
with f, g analytic vector fields and u bounded. The fields f and g are such that the dimension of the vector space spanned at x0 by the Lie brackets which contain g an odd number of times is 2. |
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| Keywords: | Non-linear systems Scalar input Analytic vector fields Local controllability Lie brackets |
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