Sufficient Lie Algebraic Conditions for Sampled-Data Feedback   Stabilizability of Affine in the Control Nonlinear Systems
  For general nonlinear autonomous systems, a Lyapunov characterization for the possibility of semi-global asymptotic stabilizability by means of a time-varying sampled-data feedback is established. We exploit this result in order to derive a Lie algebraic sufficient condition for sampled-data feedback semi-global stabilizability of affine in the control nonlinear systems with non-zero drift terms. The corresponding proposition constitutes an extension of the "Artstein-Sontag" theorem on feedback stabilization. 
John Tsinias, Dionysis Theodosis
math.OC