On The Stabilizability of Homogeneous Systems Of Odd Degree

Hamadi Jerbi

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 9, page 343-352
  • ISSN: 1292-8119

Abstract

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

How to cite

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Jerbi, Hamadi. "On The Stabilizability of Homogeneous Systems Of Odd Degree." ESAIM: Control, Optimisation and Calculus of Variations 9 (2010): 343-352. <http://eudml.org/doc/90699>.

@article{Jerbi2010,
abstract = { We construct explicitly an homogeneous feedback for a class of single input, two dimensional and homogeneous systems. },
author = {Jerbi, Hamadi},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Asymptotic stabilization; nonlinear systems; homogeneous systems; stabilizability.; asymptotic stabilization; homogeneous systems; stabilizability},
language = {eng},
month = {3},
pages = {343-352},
publisher = {EDP Sciences},
title = {On The Stabilizability of Homogeneous Systems Of Odd Degree},
url = {http://eudml.org/doc/90699},
volume = {9},
year = {2010},
}

TY - JOUR
AU - Jerbi, Hamadi
TI - On The Stabilizability of Homogeneous Systems Of Odd Degree
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 9
SP - 343
EP - 352
AB - We construct explicitly an homogeneous feedback for a class of single input, two dimensional and homogeneous systems.
LA - eng
KW - Asymptotic stabilization; nonlinear systems; homogeneous systems; stabilizability.; asymptotic stabilization; homogeneous systems; stabilizability
UR - http://eudml.org/doc/90699
ER -

References

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  1. D. Ayels, Stabilization of a class of nonlinear systems by a smooth feedback. System Control Lett. 5 (1985) 181-191.  
  2. R.W. Brockett, Differentiel Geometric Control Theory, Chapter Asymptotic stability and feedback stabilization. Brockett, Milmann, Sussman (1983) 181-191.  
  3. J. Carr, Applications of Center Manifold Theory. Springer Verlag, New York (1981).  Zbl0464.58001
  4. R. Chabour, G. Sallet and J.C. Vivalda, Stabilization of nonlinear two dimentional system: A bilinear approach. Math. Control Signals Systems (1996) 224-246.  Zbl0797.93038
  5. J.M. Coron, A Necessary Condition for Feedback Stabilization. System Control Lett.14 (1990) 227-232.  Zbl0699.93075
  6. W. Hahn, Stability of Motion. Springer Verlag (1967).  Zbl0189.38503
  7. 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.  
  8. M.A. Krosnosel'skii and P.P. Zabreiko Geometric Methods of Nonlinear Analysis. Springer Verlag, New York (1984).  
  9. J.L. Massera, Contribution to stability theory. Ann. Math.64 (1956) 182-206.  Zbl0070.31003

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