Skip to main content
SpringerLink
Log in

Dynamical Systems, Controllability, and Observability: A Post-Modern Point of View

  • Chapter
Mathematical System Theory

Abstract

I consider it a privilege to contribute the opening article to this Festschrift on the occasion of the 60-th birthday of Rudolf Kalman.

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

Access this chapter

Log in via an institution
eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R.E. Kalman, On the General Theory of Control Systems, Procedings of the First International Congress of the IFAC, Moscow 1960, Butterworths, London, pp. 481–492, 1960

    Google Scholar 

  2. R.E. Kalman, Mathematical Description of Linear Dynamical Systems, SIAM Journal on Control, Vol 1, pp 152–192, 1963

    MathSciNet  MATH  Google Scholar 

  3. R.E. Kalman, Lectures on Controllability and Observability, Centro Internazionale Matematico Estrio Bologna, Italy, 1968

    Google Scholar 

  4. R.E. Kalman, P.L. Falb, and M.A. Arbib, Topics in Mathematical Systems Theory, McGraw-Hill, 1969

    Google Scholar 

  5. R.E. Kalman, Y.C. Ho, and K. Narendra, Controllability of Linear Dynamical Systems, Contributions to Differential Equations, Vol 1, No 2, pp 189–213, 1963

    MathSciNet  Google Scholar 

  6. J.W. Nieuwenhuis, More About Continuity of Dynamical Sytems, Systems & Control Letters, Vol 14, No 1, pp 25–30, 1990

    Article  MathSciNet  MATH  Google Scholar 

  7. J.W. Nieuwenhuis and J.C. Willems, Continuity of Dynamical System: A System Theoretic Approach, Mathematics of Control, Signals, and Systems, Vol 1, No 2, pp 147–165, 1988

    Article  MathSciNet  MATH  Google Scholar 

  8. J.C. Willems, From Time Series to Linear System, Part I. Finite Dimensional Linear Time Invariant Systems, Part II. Exact Modelling, Part III. Approximate Modelling, Automatica, Vol 22, No 5, pp 561–580, 1986; Vol 22, No 6, pp 675–694, 1986; Vol 23, No 1, pp 87–115, 1987

    MathSciNet  MATH  Google Scholar 

  9. J.C. Willems, Models for Dynamics, Dynamics Reported, Vol 2, pp 171–269, 1989

    Article  MathSciNet  Google Scholar 

  10. J.C. Willems, Paradigms and Puzzles in the Theory of Dynamical Systems, IEEE Transactions on Automatic Control, Vol. AC-36, No. 3, pp 259–294, March 1991

    Article  MathSciNet  Google Scholar 

  11. J.C. Willems and J.W. Nieuwenhuis, Continuity of Latent Variable Models, IEEE Transactions on Automatic Control, Vol. AC-36, No. 6, June 1991.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematics Institute, University of Groningen, P.O. Box 800, NL-9700 AV, Groningen, The Netherlands

    J. C. Willems

Authors
  1. J. C. Willems
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Electrical and Computer Engineering, Rice University, 77251, Houston, Texas, USA

    Athanasios C. Antoulas

  2. Mathematical System Theory, E.T.H. Zürich, CH-8092, Zürich, Switzerland

    Athanasios C. Antoulas

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Willems, J.C. (1991). Dynamical Systems, Controllability, and Observability: A Post-Modern Point of View. In: Antoulas, A.C. (eds) Mathematical System Theory. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-08546-2_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-08546-2_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-08548-6

  • Online ISBN: 978-3-662-08546-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation