SIAM Journal on Control and Optimization
Control and Nonlinearity
| Hi-index | 0.03 |
We consider a smooth bracket-generating control-affine system in $ {\mathbb{R}^d} $ and show that any orientation-preserving diffeomorphism of $ {\mathbb{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.