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Modeling, Approximation, and Complexity of Linear Systems

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Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 287))

Abstract

The purpose of this paper is to give an extended summary of the material developed by Willems (forthcoming, a,b,c). In this sequence of papers we have outlined a theory that studies, in a broad context, the connection between various representations of dynamical systems and procedures for obtaining mathematical models on the basis of observed data.

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References

  • Willems, J.C. (forthcoming a), From time series to linear system. Part I: Finite dimensional linear systems, submitted for publication.

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  • Willems, J.C. (forthcoming b), From time series to linear system. Part II: Exact modeling, submitted for publication.

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  • Willems, J.C. (forthcoming c), From time series to linear system. Part III: Approximate modeling, in preparation.

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© 1987 Springer-Verlag Berlin Heidelberg

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Willems, J.C. (1987). Modeling, Approximation, and Complexity of Linear Systems. In: Kurzhanski, A.B., Sigmund, K. (eds) Dynamical Systems. Lecture Notes in Economics and Mathematical Systems, vol 287. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-00748-8_10

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  • DOI: https://doi.org/10.1007/978-3-662-00748-8_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17698-5

  • Online ISBN: 978-3-662-00748-8

  • eBook Packages: Springer Book Archive

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