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Analysis of Nonlinear Discrete-time Control Systems based on Lie-Groups

  1. Johann Holl1,2,*,
  2. Kurt Schlacher1,2

Article first published online: 24 NOV 2004

DOI: 10.1002/pamm.200410047

Issue

PAMM

PAMM

Volume 4, Issue 1, pages 131–132, December 2004

Additional Information

How to Cite

Holl, J. and Schlacher, K. (2004), Analysis of Nonlinear Discrete-time Control Systems based on Lie-Groups. Proc. Appl. Math. Mech., 4: 131–132. doi: 10.1002/pamm.200410047

Author Information

  1. 1

    Institute of Automatic Control and Control Systems Technology, Johannes Kepler University Linz, Altenbergerstr. 69, A-4040 Linz, Austria

  2. 2

    Christian Doppler Laboratory – Automatic Control of Mechatronic Systems in Steel Industries, Johannes Kepler University Linz, Altenbergerstr. 69, A-4040 Linz, Austria

*Phone: +43 732 2468 9737, Fax: +43 732 2468 9734

Publication History

  1. Issue published online: 24 NOV 2004
  2. Article first published online: 24 NOV 2004

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References

  • [1]
    W. M. Boothby, An Introduction to Differentiable Manifolds and Riemannian Geometry, second ed. (Academic Press Inc., 1986).
  • [2]
    A. Isidori, Nonlinear Control Systems, third ed. (Springer Verlag, 1995).
  • [3]
    H. Nijmeijer and A. J. van der Schaft, Nonlinear Dynamical Control Systems (Springer Verlag, 1991).
  • [4]
    P. J. Olver, Application of Lie Groups to Differential Equations (Springer Verlag, 1993).
  • [5]
    S. Sastry, Nonlinear Systems Analysis, Stability and Control (Springer Verlag, 1999).
  • [6]
    D. Saunders, The Geometry of Jet Bundles (Cambridge University Press, Cambridge, 1989).
  • [7]
    K. Schlacher and K. Zehetleitner, Computer Algebra Algorithms for Control Related Tests of Implicit Dynamic Systems, in: Proceedings in Applied Mathematics and Mechanics (PAMM), Padua (2003), Vol. 3, Issue 1, pp. 140–143.
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