2 datasets found

Consider a sub-Riemannian geometry $(U,D,g)$ where $U$ is a neighborhood at $0$ in $\R^n,$ $D$ is a rank-2 smooth $(C^\infty $ or $C^\omega )$ distribution and $g$ is...

Let $T>0$ fixed. We consider the optimal control problem for analytic affine systems~: $\ds{\dot{x}=f_0(x)+\sum_{i=1}^m u_if_i(x)}$, with a cost of the form~:...