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Duality for linear time invariant finite dimensional systems

  • Linear Systems
  • Conference paper
  • First Online:
Analysis and Optimization of Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 111))

Abstract

This note is an elaboration and expansion of results in [1] where we introduced the notion of dual linear system. We briefly compare our notion with that of Fuhrmann as introduced in [2].

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References

  1. NIEUWENHUIS, J.W., WILLEMS, J.C.; Deterministic Arma Models, in Analysis and Optimization of Systems (eds. A Bensoussan and J.L. Lions). Lecture Notes in Control and Information Sciences, Vol. 83, pp. 429–439, 1986, Springer Verlag.

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  2. FUHRMANN, P.A.; Duality in Polynomial Models with some Applications to Geometric Control Theory, IEEE Trans. Automatic Control, AC-26, pp. 284–295, 1981.

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  3. WILLEMS, J.C.; From Time Series of Linear System. Part. I: Finite Dimensional Linear Time-Invariant Systems. Part. II: Exact Modelling. Part. III: Approximate Modelling. Automatica, 22, pp. 561–580, 1986; 22, pp. 675–694, 1986; 23, pp. 87–115, 1987.

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  4. WILLEMS, J.C.; Models for Dynamics, to appear in Dynamics Reported.

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Author information

Authors and Affiliations

  1. Systems and Control Group Econometrics Institute, Mathematics Institute, University of Groningen, P.O. Box 800, 9700 AV, Groningen, The Netherlands

    J. W. Nieuwenhuis & J. C. Willems

Authors
  1. J. W. Nieuwenhuis
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  2. J. C. Willems
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Editor information

A. Bensoussan J. L. Lions

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© 1988 Springer-Verlag

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Nieuwenhuis, J.W., Willems, J.C. (1988). Duality for linear time invariant finite dimensional systems. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0042197

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  • DOI: https://doi.org/10.1007/BFb0042197

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19237-4

  • Online ISBN: 978-3-540-39161-6

  • eBook Packages: Springer Book Archive

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