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 chance of semi-world asymptotic stabilizability by means of a time-varying sampled-knowledge feedback is established. We tend to exploit this end in order to derive a Lie algebraic sufficient condition for sampled-data feedback semi-international stabilizability of affine within the management nonlinear systems with non-zero drift terms. The corresponding proposition constitutes an extension of the “Artstein-Sontag” theorem on feedback stabilization.

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