A new stability test for nonlinear nonautonomous systems

Michael I. Gil

doi:10.1016/j.automatica.2004.07.007

A new stability test for nonlinear nonautonomous systems

Michael I. Gil

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We consider a class of nonlinear nonautonomous systems, whose linear parts are slowly varying matrices. Stability conditions and estimates for the region of attraction of the zero solution are derived. These conditions are formulated in terms of the determinants of the variable matrices.

Original language	English
Pages (from-to)	2161-2165
Number of pages	5
Journal	Automatica
Volume	40
Issue number	12
DOIs	https://doi.org/10.1016/j.automatica.2004.07.007
State	Published - 1 Dec 2004

Keywords

Nonlinear nonautonomous continuous systems
Region of attraction
Stability

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

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10.1016/j.automatica.2004.07.007

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title = "A new stability test for nonlinear nonautonomous systems",

abstract = "We consider a class of nonlinear nonautonomous systems, whose linear parts are slowly varying matrices. Stability conditions and estimates for the region of attraction of the zero solution are derived. These conditions are formulated in terms of the determinants of the variable matrices.",

keywords = "Nonlinear nonautonomous continuous systems, Region of attraction, Stability",

author = "Gil, {Michael I.}",

note = "Funding Information: This paper was not presented at any IFAC meeting. This paper was recommended for publication in revised form by Associate Editor Henk Nijmeijer under the direction of Editor H.K. Khalil. This research was supported by the Kamea Fund of the Israel. ",

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PY - 2004/12/1

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N2 - We consider a class of nonlinear nonautonomous systems, whose linear parts are slowly varying matrices. Stability conditions and estimates for the region of attraction of the zero solution are derived. These conditions are formulated in terms of the determinants of the variable matrices.

AB - We consider a class of nonlinear nonautonomous systems, whose linear parts are slowly varying matrices. Stability conditions and estimates for the region of attraction of the zero solution are derived. These conditions are formulated in terms of the determinants of the variable matrices.

KW - Nonlinear nonautonomous continuous systems

KW - Region of attraction

KW - Stability

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JO - Automatica

JF - Automatica

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A new stability test for nonlinear nonautonomous systems

Abstract

Keywords

ASJC Scopus subject areas

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