We consider a smooth bracket-generating control-affine system in R d and show that any orientation-preserving diffeomorphism of R d can be approximated, in a very strong sense, by a diffeomorphism included in the flow generated by a time-varying feedback control which is polynomial with respect to the state variables and trigonometric-polynomial with respect to the time variable.
Dynamics control by a time-varying feedback / Agrachev, A.; Caponigro, M.. - In: JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS. - ISSN 1079-2724. - 16:2(2010), pp. 149-162. [10.1007/s10883-010-9087-7]
Dynamics control by a time-varying feedback
Agrachev, A.;Caponigro, M.
2010-01-01
Abstract
We consider a smooth bracket-generating control-affine system in R d and show that any orientation-preserving diffeomorphism of R d can be approximated, in a very strong sense, by a diffeomorphism included in the flow generated by a time-varying feedback control which is polynomial with respect to the state variables and trigonometric-polynomial with respect to the time variable.File in questo prodotto:
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