Skip to main content
SpringerLink
Log in
Book cover

Category Theory Applied to Computation and Control pp 180–185Cite as

Control of linear continuous-time systems defined over rings of distributions

  • Submitted Abstract
  • Conference paper
  • First Online:

  • 2027 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 25))

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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. E. Kalman, "Algebraic Structure of Linear Dynamical Systems. I. The Module of Σ," Proc. Natl. Acad. Sci. (USA), Vol. 54, pp. 1503–1508, 1965.

    Article  MathSciNet  Google Scholar 

  2. R. E. Kalman and M. Hautus, "Realization of Continuous-Time Linear Dynamical Systems," in Proc. Conf. on Ordinary Diff. Equ., (Ed. L. Weiss), NRL Math. Research Center, pp. 151–164, June, 1971.

    Google Scholar 

  3. E. W. Kamen, "A Distributional-Module Theoretic Representation of Linear Continuous-Time Systems," Ph.D. Thesis, Stanford Univ., May, 1971.

    Google Scholar 

  4. ___________, "Representation of Linear Continuous-Time Systems by Spaces of Distributions," IRIA Report INF 7213/72016, France, June, 1972.

    Google Scholar 

  5. ___________, "Topological Module Structure of Linear Continuous-Time Systems," submitted to SIAM J. Control.

    Google Scholar 

  6. B. F. Wyman, "Linear Systems over Rings of Operators," this volume.

    Google Scholar 

  7. E. W. Kamen, "On an Algebraic Theory of Systems Defined by Convolution Operators," to appear in Math. Systems Thy.

    Google Scholar 

  8. ___________, "Algebraic Results on Time-Varying Systems," in preparation.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Electrical Engineering, Georgia Institute of Technology, 30332, Atlanta, Georgia, USA

    Edward W. Kamen

Authors
  1. Edward W. Kamen
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Ernest Gene Manes

Rights and permissions

Reprints and permissions

Copyright information

© 1975 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kamen, E.W. (1975). Control of linear continuous-time systems defined over rings of distributions. In: Manes, E.G. (eds) Category Theory Applied to Computation and Control. Lecture Notes in Computer Science, vol 25. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-07142-3_79

Download citation

  • DOI: https://doi.org/10.1007/3-540-07142-3_79

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07142-6

  • Online ISBN: 978-3-540-37426-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation