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A manifold-like characterization of asymptotic stabilizability of homogeneous systems

โœ Scribed by Hamadi Jerbi

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
118 KB
Volume
45
Category
Article
ISSN
0167-6911

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โœฆ Synopsis

In this paper, we present a version of Artstein's theorem for homogeneous systems and we drive su cient Manifold-like conditions for stabilization of single-input homogeneous systems by means of a homogeneous feedback law.

๐Ÿ“œ SIMILAR VOLUMES

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We give some tools for the construction of the homogeneous feedback witch stabilizes a generic class of single input, two dimensional, homogeneous systems.

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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. (~) 2004 Elsevier Ltd. All rights reserved. Keywords--Homogeneous polynomia