Continuous dependence of trajectories with respect to the input

This paper outlines results on the characterization of the weakest possible concept of convergence of a sequence of input functions such that the trajectories depend continuously on the input for all control-affine systems dx/dt=f₀(x)+Σ_i=1^mu_if _i(x), x ∈ Ω with a right-hand side continuous with respect to the state variable x, and prove some results on the corresponding problem for more restricted classes of systems