Sufficient Lie Algebraic Conditions for Sampled-Data Feedback Stabilizability of Affine in the Control Nonlinear Systems
Optimization and Control
2015-09-10 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1407.8380,
title = {Sufficient Lie Algebraic Conditions for Sampled-Data Feedback Stabilizability of Affine in the Control Nonlinear Systems},
author = {John Tsinias and Dionysis Theodosis},
journal= {arXiv preprint arXiv:1407.8380},
year = {2015}
}
Comments
This is the latest revision of the previously submitted article. Many parts of the paper have been rewritten or modified, more details and accurate discussions have been inserted and overall presentation has been improved