Skip to main content
SpringerLink
Log in
Book cover

Nonlinear control in the year 2000 volume 2 pp 143–148Cite as

Differentiable lyapunov function and center manifold theory

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 259))

Abstract

Continuously differentiable Lyapunov functions for nonlinear systems for which the asymptotic stability can be proved via the center manifold theory are constructed. They are of particular interest when some parameters of the systems are not exactly known.

This is a preview of subscription content, log in via an institution.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D. Aeyels (1985) Stabilization of a class of nonlinear systems by a smooth feedback control. Systems & Control Letters, vol. 5, pp. 289–294,.

    Article  MATH  MathSciNet  Google Scholar 

  2. J. Carr (1981) Application of Centre Manifol Theory. Springer Verlag.

    Google Scholar 

  3. H. Khalil (1996) Nonlinear Systems. 2nd ed. Prentice Hall.

    Google Scholar 

  4. F. Mazenc (1998) Cascade of Unstable Nonlinear Systems, Local and Global Stabilization. Systems & Control Letters, vol. 35, pp 317–323.

    Article  MATH  MathSciNet  Google Scholar 

  5. A. Teel, R. Murray, G. Walsh (1992) Nonholonomic Control Systems: From Steering to Stabilization with Sinusoids. Proc. of the 31st Conference on Decision and Control. Tucson, Arizona.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. INRIA Lorraine, Project Conge ISGMP Bât A, Ile du Saulcy, 57 045, Metz Cedex 01, France

    Frédéric Mazenc

Authors
  1. Frédéric Mazenc
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Alberto Isidori Françoise Lamnabhi-Lagarrigue Witold Respondek

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag London Limited

About this paper

Cite this paper

Mazenc, F. (2001). Differentiable lyapunov function and center manifold theory. In: Isidori, A., Lamnabhi-Lagarrigue, F., Respondek, W. (eds) Nonlinear control in the year 2000 volume 2. Lecture Notes in Control and Information Sciences, vol 259. Springer, London. https://doi.org/10.1007/BFb0110298

Download citation

  • DOI: https://doi.org/10.1007/BFb0110298

  • Published:

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-364-5

  • Online ISBN: 978-1-84628-569-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation