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Linearization of discrete and discretized nonlinear systems

  • I-Differential Geometric System Theory Feedback Synthesis
  • Conference paper
  • First Online:
New Trends in Nonlinear Control Theory

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 122))

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References

  1. J.W. Grizzle, "Feedback linearization of discrete-time systems," in Lecture Notes in Control and Information Sciences, Vol. 83, Springer-Verlag, 1986, 273–281.

    Google Scholar 

  2. J.W. Grizzle and P.V. Kokotovic, "Feedback linearization of sampled-data systems," preprint, April 20, 1987.

    Google Scholar 

  3. B. Jakubczyk, "Feedback linearization of discrete-time systems," Syst. & Contr. Lett., Vol. 9, 1987, 411–416.

    Google Scholar 

  4. B. Jakubczyk and E.D. Sontag, "The effect of sampling on feedback linearization," preprint, May 15, 1987.

    Google Scholar 

  5. H.G. Lee, A. Arapostathis and S.I. Marcus, "On the linearization of discrete time systems," Int'l. J. Contr., 45, 1987, 1803–1822.

    Google Scholar 

  6. H.G. Lee and S.I. Marcus, "Approximate and local linearization of nonlinear discrete-time systems," Int'l. J. Contr., 44, 1986, 1103–1124.

    Google Scholar 

  7. H.J. Sussmann, "Lie brackets, real analyticity, and geometric control," in Differential Geometric Control Theory, R.W. Brockett, et.al. (ed.), Boston: Birkhauser, 1983, 1–116.

    Google Scholar 

  8. T.J. Tarn, A.K. Bejczy, A. Isidori and Y. Chen, "Nonlinear feedback in robot arm control," Proc. 23rd Conf. on Decision and Control, Las Vegas, NV, Dec. 1984, 736–751.

    Google Scholar 

  9. V.S. Varadarajan, Lie Groups, Lie Algebras and Their Representations, Englewood Cliffs, NJ: Prentice-Hall, 1974.

    Google Scholar 

  10. H. G. Lee, A. Arapostathis and S. I. Marcus, "Remarks on Discretization and Linear Equivalence of Continuous Time Nonlinear Systems," Proc. 26th IEEE Conference on Decision and Control, Los Angeles, CA, December 9–11, 1987.

    Google Scholar 

  11. E. D. Sontag, "Orbit Theorems and Sampling," in Algebraic and Geometric Methods in Nonlinear Control Theory, M. Fliess and M. Hazewinkel (Eds.), Reidel, Dordrecht, 1986, pp. 441–486.

    Google Scholar 

  12. B. Jakubczyk and E. D. Sontag, "Controllability of Nonlinear Discrete Time Systems: A Lie-Algebraic Approach," submitted for publication.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Electrical and Computer Engineering, Louisiana State University, 70803-5901, Baton Rouge, Louisiana

    Hong-Gi Lee

  2. Department of Electrical and Computer Engineering, University of Texas at Austin, 78712-1084, Austin, Texas

    Aristotle Arapostathis & Steven I. Marcus

Authors
  1. Hong-Gi Lee
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  2. Aristotle Arapostathis
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  3. Steven I. Marcus
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Editor information

J. Descusse Michel Fliess A. Isidori D. Leborgne

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© 1989 Springer-Verlag

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Lee, HG., Arapostathis, A., Marcus, S.I. (1989). Linearization of discrete and discretized nonlinear systems. In: Descusse, J., Fliess, M., Isidori, A., Leborgne, D. (eds) New Trends in Nonlinear Control Theory. Lecture Notes in Control and Information Sciences, vol 122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0043020

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  • DOI: https://doi.org/10.1007/BFb0043020

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51075-8

  • Online ISBN: 978-3-540-46143-2

  • eBook Packages: Springer Book Archive

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