Stabilization of invariant sets for nonlinear non-affine systems
type: Item
instance of: scholarly article
title: Stabilization of invariant sets for nonlinear non-affine systems
zbMATH Open document ID: 0966.93090
DOI: 10.1016/S0005-1098(00)00077-7
author: Anton S. Shiriaev
author: Alexander Fradkov
published in: Automatica
publication date: 2001-07-30T00:00:00Z
review text: The paper deals with a nonlinear non-affine system. The problem of global and local stabilization of invariant sets is examined. New state feedback stabilizing controllers and sufficient conditions for asymptotic stability of a goal set with a specified region of attraction are proposed. The proofs of the obtained results are based on a detailed analysis of the \(\omega\)-limit sets of the closed-loop system with a speed-gradient controller for the affinized controlled system. Two illustrating examples are given.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 1574267
zbMATH Keywords: nonlinear control
zbMATH Keywords: oscillatory system
zbMATH Keywords: non-affine
zbMATH Keywords: speed-gradient method
zbMATH Keywords: stabilization to sets
zbMATH Keywords: invariant set
MaRDI profile type: Publication
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full work available at URL: s0005-1098(00)00077-7
OpenAlex ID: W2143825630
Wikidata QID: Q127125124
description: scientific article; zbMATH DE number 1574267