☆ 4.5 Article

New results on sampled-data feedback stabilization for autonomous nonlinear systems

SYSTEMS & CONTROL LETTERS (2012)

Journal

SYSTEMS & CONTROL LETTERS

Volume 61, Issue 10, Pages 1032-1040

Publisher

ELSEVIER

DOI: 10.1016/j.sysconle.2012.07.009

Keywords

Stabilization; Sampled-data feedback; Nonlinear systems

Categories

Automation & Control Systems Operations Research & Management Science

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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. (c) 2012 Elsevier B.V. All rights reserved.

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