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Realizations of Volterra series

  • Optimal Control: Ordinary And Delay Differential Equations
  • Conference paper
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Optimization Techniques

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 22))

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References

  1. BROCKETT, R.W.: Volterra series and geometric control theory, Automatica 12, (1976), 167–177.

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  2. CROUCH, P.A.: Dynamical realizations of finite Volterra series, Control Theory Centre Report No 72.

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  3. d'ALESSANDRO, P., A. ISIDORI and A. RUBERTI: Realization and structure theory of bilinear dynamical systems, SIAM J. Control, 12 (1974).

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  4. GILBERT, E.G.: Functional expansion for the response of nonlinear differential systems, I.E.E.E. Trans. Auto. Control AC-22 (1977), 909–921.

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  5. JAKUBCZYK, B.: Existence and uniquess of realizations of nonlinear systems, to appear in SIAM J.Control and Opt.

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  6. —: Existence and uniquencess of nonlinear realizations, Proc. Conf. “Analyse des Systems”, Bordeaux 1978, Asterisque (to appear).

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  7. KALMAN, R.E., P.L.FALB and M.A.ARBIB: Topics in Mathematical System Theory, New York 1969.

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  8. LESIAK, C., A. J.KRENER: The existence and uniquess of Volterra series for nonlinear systems, to appear.

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  9. SUSSMANN, H.J.: Existence and uniquess of minimal realizations of nonlinear systems, Mathematical Systems Theory 10 (1977), 263–284.

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Authors and Affiliations

  1. Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland

    Bronisław Jakubczyk & Barbara Kaśkosz

Authors
  1. Bronisław Jakubczyk
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  2. Barbara Kaśkosz
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K. Iracki K. Malanowski S. Walukiewicz

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© 1980 Springer-Verlag

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Jakubczyk, B., Kaśkosz, B. (1980). Realizations of Volterra series. In: Iracki, K., Malanowski, K., Walukiewicz, S. (eds) Optimization Techniques. Lecture Notes in Control and Information Sciences, vol 22. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0036406

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  • DOI: https://doi.org/10.1007/BFb0036406

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10080-5

  • Online ISBN: 978-3-540-38248-5

  • eBook Packages: Springer Book Archive

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