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On The Stabilizability of Homogeneous Systems Of Odd Degree
Published online by Cambridge University Press: 15 September 2003
Abstract
We construct explicitly an homogeneous feedback for a class of single input, two dimensional and homogeneous systems.
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- Research Article
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- © EDP Sciences, SMAI, 2003
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).
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