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The Formal Laplace Transform for Smooth Linear Systems

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Mathematical Systems Theory

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 131))

Abstract

A class of time invariant linear systems is introduced. For systems in this class a formal Laplace transform is defined and invertibility properties are studied using this transform. The results are related to known results in literature.

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References

  1. Kaiman, R.E. and Hautus, M.L.J., Realization for continuous-time linear dynamical systems: Rigorous theory in the style of Schwartz, Ordinary differential equations, 1971, NRL-MRC Conference; Acad. Press, New York, 1972.

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  6. Sain, M.K. and Massey, J.L., Invertibility of linear time-invariant dynamical systems, IEEE Trans. Aut. Cont., AC-14, 1969, pp. 141–149.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Technological University Eindhoven, The Netherlands

    M. L. J. Hautus

Authors
  1. M. L. J. Hautus
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Editor information

Editors and Affiliations

  1. Department of Electrical Engineering, University of Padua, 6/A Via Gradenigo, 35100, Padova, Italy

    Giovanni Marchesini

  2. Department of Electrical Engineering and Computer Science and Electronic Systems Laboratory, Massachusetts Institute of Technology, Cambridge, Massachusetts, 02139, USA

    Sanjoy Kumar Mitter

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© 1976 Springer-Verlag Berlin · Heidelberg

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Hautus, M.L.J. (1976). The Formal Laplace Transform for Smooth Linear Systems. In: Marchesini, G., Mitter, S.K. (eds) Mathematical Systems Theory. Lecture Notes in Economics and Mathematical Systems, vol 131. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48895-5_3

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  • DOI: https://doi.org/10.1007/978-3-642-48895-5_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07798-5

  • Online ISBN: 978-3-642-48895-5

  • eBook Packages: Springer Book Archive

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