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

โœ Scribed by H Jerbi

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
517 KB
Volume
17
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

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 polynomials of degree three, Nonlinear systems, Positive homogeneous feedbacks, Stabflizability.

-k (2aXl + px2)P(Xl,X2,Z) -k (2~/x2 -k pxl)Q (xl,x2, z), for (Xl,X2,z) ~ยฃ (0,0,0), 2V/2C~Xl 2 + 2pxlx2 + 27x~ + 2z 2 --2z ~(0, 0, 0) = 0,

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