  The present work extends recent results by second author concerning
sampled-data feedback stabilization for affine in the control of nonlinear
systems with nonzero drift term, under the presence of a generalized control
Lyapunov function associated with appropriate Lie algebraic hypotheses
concerning the dynamics of the system. The main results of present work,
constitute a generalization of the well-known "Artstein-Sontag" theorem on
asymptotic stabilization by means of an almost smooth feedback controller. The
analysis is limited to the affine single-input nonlinear systems with nonzero
drift term, however, the results can easily be extended to the multi-input
case. An illustrative example of the derived results is included.
