New Results on Sampled-Data Feedback Stabilization for Autonomous Nonlinear Systems

J. Tsinias

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arXiv · 1207.0907

New Results on Sampled-Data Feedback Stabilization for Autonomous Nonlinear Systems

J. Tsinias

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Abstract

Sufficient conditions are established for sampled-data feedback global asymptotic stabilization for nonlinear autonomous systems. One of our main results is an extension of the well known Artstein-Sontag theorem on feedback stabilization concerning affine in the control systems. A second aim of the present work is to provide sufficient conditions for sampled-data feedback asymptotic stabilization for two interconnected nonlinear systems. Lie algebraic sufficient conditions are derived for the case of affine in the control interconnected systems without drift terms.

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J. Tsinias. 2012-07-04. New Results on Sampled-Data Feedback Stabilization for Autonomous Nonlinear Systems. https://arxiv.org/abs/1207.0907

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