Free Access
Volume 5, 2000
Page(s) 293 - 311
Published online 15 August 2002
  1. D. Aeyels, Stabilization of a class of nonlinear systems by smooth feedback control. Systems Control Lett. 5 (1985) 289-294. [NASA ADS] [CrossRef] [EDP Sciences] [MathSciNet] [PubMed]
  2. Z. Artstein, Stabilization with relaxed control. Nonlinear Anal. TMA 7 (1983) 1163-1173. [CrossRef] [MathSciNet]
  3. A. Bacciotti, Local stabilizability of nonlinear control systems. World Scientific, Singapore, River Edge, London, Ser. Adv. Math. Appl. Sci. 8 (1992).
  4. R.W. Brockett, Asymptotic stability and feedback stabilization, in Differential Geometric Control Theory, edited by R.W. Brockett, R.S. Millman and H.J. Sussmann. Basel-Boston, Birkäuser (1983) 181-191.
  5. R.T. Bupp, D.S. Bernstein and V.T. Coppola, A benchmark problem for nonlinear control design. Internat J. Robust Nonlinear Control 8 (1998) 307-310. [CrossRef] [MathSciNet]
  6. height 2pt depth -1.6pt width 23pt, Experimental implementation of integrator back-stepping and passive nonlinear controllers on the RTAC testbed. Internat J. Robust Nonlinear Control 8 (1998) 435-457. [CrossRef] [MathSciNet]
  7. J.-M. Coron, L. Praly and A.R. Teel, Feedback stabilization of nonlinear system: Sufficient conditions and lyapunov and input-output techniques, in Trends in Control, a European Perspective, edited by A. Isidori. Springer-Verlag (1995) 283-348.
  8. L. Faubourg, La déformation de fonctions de Lyapunov, Rapport de DEA d'automatique et informatique industrielle. INRIA-Université de Lille 1 (1997).
  9. L. Faubourg and J.-B. Pomet, Strict control Lyapunov functions for homogeneous Jurdjevic-Quinn type systems, in Nonlinear Control Systems Design Symposium (NOLCOS'98), edited by H. Huijberts, H. Nijmeijer, A. van der Schaft and J. Scherpen. IFAC (1998) 823-829.
  10. L. Faubourg and J.-B. Pomet, Design of control Lyapunov functions for ``Jurdjevic-Quinn'' systems, in Stability and Stabilization of Nonlinear Systems, edited by D. Aeyels et al. Springer-Verlag, Lecture Notes in Contr. & Inform. Sci. (1999) 137-150.
  11. J.-P. Gauthier, Structure des Systèmes non-linéaires. Éditions du CNRS, Paris (1984).
  12. W. Hahn, Stability of Motion. Springer-Verlag, Berlin, New-York, Grundlehren Math. Wiss. 138 (1967).
  13. V. Jurdjevic and J.P. Quinn, Controllability and stability. J. Differential Equations 28 (1978) 381-389. [CrossRef] [MathSciNet]
  14. M. Kawski, Homogeneous stabilizing feedback laws. Control Theory and Adv. Technol. 6 (1990), 497-516.
  15. H.K. Khalil, Nonlinear Systems. MacMillan, New York, Toronto, Singapore (1992).
  16. J. Kurzweil, On the inversion of Ljapunov's second theorem on stability of motion. AMS Trans., Ser. II 24 (1956) 19-77.
  17. J.-P. LaSalle, Stability theory for ordinary differential equations. J. Differential Equations 4 (1968) 57-65. [CrossRef] [MathSciNet]
  18. W. Liu, Y. Chitour and E. Sontag, Remarks on finite gain stabilizability of linear systems subject to input saturation, in 32 Formula IEEE Conf. on Decision and Control. San Antonio, USA (1993) 1808-1813.
  19. F. Mazenc, Stabilisation de trajectoires, ajout d'intégration, commandes saturées, Thèse de doctorat. École des Mines de Paris (1989).
  20. P. Morin, Robust stabilization of the angular velocity of a rigid body with two actuators. European J. Control 2 (1996) 51-56.
  21. R. Outbib and G. Sallet, Stabilizability of the angular velocity of a rigid body revisited. Systems Control Lett. 18 (1992) 93-98. [CrossRef] [MathSciNet]
  22. G. Sallet, Historique des techniques de Jurdjevic-Quinn (private communication).
  23. R. Sépulchre, M. Jankovic and P.V. Kokotovic, Constructive Nonlinear Control. Springer-Verlag, Comm. Control Engrg. Ser. (1997).
  24. E.D. Sontag, Feedback stabilization of nonlinear systems, in Robust control of linear systems and nonlinear control, Vol. 2 of proceedings of MTNS'89, edited by M.A. Kaashoek, J.H. van Schuppen and A. Ran. Basel-Boston, Birkhäuser (1990) 61-81.
  25. M. Spivak, A Comprehensive Introduction to Differential Geometry, Vol. 1. Publish or Perish, Houston, second Ed. (1979).
  26. J. Tsinias, Remarks on feedback stabilizability of homogeneous systems. Control Theory and Adv. Technol. 6 (1990) 533-542.
  27. J. Zhao and I. Kanellakopoulos, Flexible back-stepping design for tracking and disturbance attenuation. Internat J. Robust Nonlinear Control 8 (1998) 331-348. [CrossRef] [MathSciNet]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.