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On The Stabilizability of Homogeneous Systems Of Odd Degree

Published online by Cambridge University Press:  15 September 2003

Hamadi Jerbi
Hamadi Jerbi*
Affiliation:
Department of Mathematics, Sfax University, Faculty of Sciences, Tunisia; hjerbi@voila.fr.
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Abstract

We construct explicitly an homogeneous feedback for a class of single input, two dimensional and homogeneous systems.

Keywords

Asymptotic stabilizationnonlinear systemshomogeneous systemsstabilizability.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 9 , January 2003 , pp. 343 - 352
Copyright
© EDP Sciences, SMAI, 2003

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References

D. Ayels, Stabilization of a class of nonlinear systems by a smooth feedback. System Control Lett. 5 (1985) 181-191.
R.W. Brockett, Differentiel Geometric Control Theory, Chapter Asymptotic stability and feedback stabilization. Brockett, Milmann, Sussman (1983) 181-191.
J. Carr, Applications of Center Manifold Theory. Springer Verlag, New York (1981).
R. Chabour, G. Sallet and J.C. Vivalda, Stabilization of nonlinear two dimentional system: A bilinear approach. Math. Control Signals Systems (1996) 224-246.
Coron, J.M., Necessary Condition, A for Feedback Stabilization. System Control Lett. 14 (1990) 227-232. CrossRef
W. Hahn, Stability of Motion. Springer Verlag (1967).
H. Hermes, Homogeneous Coordinates and Continuous Asymptotically Stabilizing Control laws, Differential Equations, Stability and Control, edited by S. Elaydi. Marcel Dekker Inc., Lecture Notes in Appl. Math. 10 (1991) 249-260.
M.A. Krosnosel'skii and P.P. Zabreiko Geometric Methods of Nonlinear Analysis. Springer Verlag, New York (1984).
Massera, J.L., Contribution to stability theory. Ann. Math. 64 (1956) 182-206. CrossRef