Global asymptotic stabilization of general nonlinear systems with stable free dynamics via passivity and bounded feedback
type: Item
instance of: scholarly article
title: Global asymptotic stabilization of general nonlinear systems with stable free dynamics via passivity and bounded feedback
zbMATH Open document ID: 0857.93077
DOI: 10.1016/0005-1098(96)00013-1
author: Wei Lin
published in: Automatica
publication date: 1996-11-25T00:00:00Z
review text: The Jurdjevic-Quinn method and its generalizations provide a useful tool for local and global asymptotic stabilization of nonlinear affine systems whose drift terms are Lyapunov stable. In this paper, the author considers non-affine systems of the general form \(\dot x=f(x,u)\) under the assumptions that the unforced system \(\dot x=f(x,0)\) is Lyapunov stable, and that a proper, smooth Lyapunov function \(V(x)\) such that \(L_{f(x,0)}V(x)\leq 0\), for all \(x\in\mathbb{R}^n\), is available. By exploiting the concepts of passivity, feedback equivalence and the technique of bounded state feedback, as well as some Lie algebraic conditions, the author obtains sufficient conditions for global asymptotic stability by state and dynamic output feedback. The expression of the stabilizing feedback law is explicit.
reviewed by: Andrea Bacciotti
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 930717
zbMATH Keywords: global stabilization
zbMATH Keywords: passivity
zbMATH Keywords: feedback equivalence
zbMATH Keywords: global asymptotic stability
zbMATH Keywords: dynamic output feedback
MaRDI profile type: Publication
full work available at URL: 0005-1098(96)00013-1
OpenAlex ID: W2052129195
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description: scientific article; zbMATH DE number 930717