Skip to main content

Construction of formal and analytic realizations of nonlinear systems

  • Conference paper
  • First Online:
Feedback Control of Linear and Nonlinear Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 39))

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. EILENBERG, “Automata, Languages and Machines”, Vol.A, Academic Press, New York 1974.

    Google Scholar 

  2. M. FLIESS, Sur la realization des systèmes dynamique bilinéaires, C.R.Acad.Sec.Paris, t.277 (1973) ser.A, pp.923–926.

    Google Scholar 

  3. M.FLIESS, Un outil algébrique: les series formelles non commutatives, in “Mathematical Systems Theory, eds. Marchesini, Mitter, Springer 1975, pp.122–148.

    Google Scholar 

  4. M. FLIESS, Realizations of nonlinear systems and abstract transitive Lie algebras, Bull.Am.Math.Soc.Vol.2 No 3(1980), pp.444–446.

    Google Scholar 

  5. M. FLIESS, Fonctionelles causales non linéaires et indéterminées non commutatives, Bull.Soc.Math.Franc.Vol.109 (1981), pp.3–40.

    Google Scholar 

  6. B.JAKUBCZYK, Existence and uniqueness of nonlinear realizations, Proc.Conf. “Analyse des Systèmes”, Bordeaux 1978, Asterisque 75–76 (1980), pp. 141–147.

    Google Scholar 

  7. B.JAKUBCZYK, Existence and uniqueness of realizations of nonlinear systems, SIAM J.Control and Optimiz. Vol.18 (1980), pp.

    Google Scholar 

  8. B. JAKUBCZYK, B. KASKOSZ, Realizability of Volterra series with constant kernels, Nonlinear Analysis, Theory, Methods and Appl., Vol.5 (1980), pp.167–183.

    Google Scholar 

  9. B.JAKUBCZYK, Realizations of nonlinear systems via formal power series in noncommuting variables, in preparation.

    Google Scholar 

  10. R. KALMAN, P. FALB, M. ARBIB, “Topics in Mathematical System Theory”, Mc Graw-Hill, New York 1969.

    Google Scholar 

  11. A. SALOMAA, M. SOITTOLA, “Automata-Theoretic Aspects of Formal Power Series”, Springer Verlag, New York 1978.

    Google Scholar 

  12. H.SUSSMANN, Minimal realizations of nonlinear systems, in “Geometric Methods”, Proc.Conf.London 1973, ed. Mayne.

    Google Scholar 

  13. H. SUSSMANN, Existence and uniqueness of minimal realizations of nonlinear systems, Math.Syst.Theory, Vol.10 (1976/77), pp.263–284.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

D. Hinrichsen A. Isidori

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Jakubczyk, B. (1982). Construction of formal and analytic realizations of nonlinear systems. In: Hinrichsen, D., Isidori, A. (eds) Feedback Control of Linear and Nonlinear Systems. Lecture Notes in Control and Information Sciences, vol 39. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006825

Download citation

  • DOI: https://doi.org/10.1007/BFb0006825

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11749-0

  • Online ISBN: 978-3-540-39479-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics