Asymptotic stabilizability of three-dimensional homogeneous polynomial systems of degree three

H Jerbi

doi:10.1016/S0893-9659(04)90075-4

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Asymptotic stabilizability of three-dimensional homogeneous polynomial systems of degree three

Journal article

Open access

Peer reviewed

Asymptotic stabilizability of three-dimensional homogeneous polynomial systems of degree three

H Jerbi

Applied mathematics letters, Vol.17(3), pp.357-366

01/03/2004

DOI: https://doi.org/10.1016/S0893-9659(04)90075-4

Abstract

Homogeneous polynomials of degree three

Nonlinear systems

Positive homogeneous feedbacks

Stabilizability

In this paper, we deal with the problem of global stabilizability at the origin of a homogeneous vector field of degree three. We give a sufficient condition which turns out to be also necessary in a large class of systems.

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Title: Asymptotic stabilizability of three-dimensional homogeneous polynomial systems of degree three
Creators - without role: H Jerbi - University of Sfax
Publication Details: Applied mathematics letters, Vol.17(3), pp.357-366
Publisher: Elsevier Ltd
Identifiers: 9932153408331
Academic Unit: University Ha'il
Language: English
Resource Type: Journal article