Skip to main content
SpringerLink
Log in

Exact controllability of linear systems in infinite dimensional spaces

  • Conference paper
  • First Online:
Book cover Partial Differential Equations and Related Topics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 446))

This research was partially supported by the National Science Foundation through contract No. GP-27973.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.95
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. BUTKOVSKII, A. G. and POLTAVSKII, L. N., The optimal control of a distributed oscillating system (Russian), Automatics and Remote Control (1965).

    Google Scholar 

  2. DUNFORD, N. and SCHWARTZ, J. T., Linear Operators, Part I, Interscience Publishers, New York, 1957.

    MATH  Google Scholar 

  3. FATTORINI, H. O., Control in finite time of differential equations in Banach space, Communications on Pure and Applied Mathematics XIX (1966), 17–34.

    MathSciNet  MATH  Google Scholar 

  4. FATTORINI, H. O., On Jordan operators and rigidity of linear control systems, Revista de la Unión Matemática Argentina XXIII (1966), 67–75.

    MathSciNet  MATH  Google Scholar 

  5. FATTORINI, H. O. and RUSSELL, D. L., Exact controllability theorems for linear parabolic equations in one space dimension, Archive for Rational Mechanics and Analysis 43 (1971), 272–292.

    Article  MathSciNet  MATH  Google Scholar 

  6. FUHRMANN, P. A., On weak and strong reachability and controllability of infinite-dimensional systems, J. Optimization Theory and Applications 2 (1972), 77–89.

    Article  MathSciNet  MATH  Google Scholar 

  7. HILLE, E. and PHILLIPS, R. S., Functional Analysis and Semi-groups, American Math. Soc. Colloquium Publications, 31, Providence, R. I. 1957.

    Google Scholar 

  8. HOFFMAN, K. Banach Spaces of Analytic Functions, Prentice-Hall, Englewood Cliffs, N. J., 1962.

    MATH  Google Scholar 

  9. KUPERMAN, L. M. and REPIN, Ju. M., On controllability in infinite-dimensional spaces, Doklady Akademii Nauk SSSR 200 (1971), 767–769 (Russian), English translation.

    MathSciNet  MATH  Google Scholar 

  10. RUSSELL, D. L., Nonharmonic Fourier series in the theory of distributed parameter systems, J. Math. Analysis and Applications 18 (1967), 542–560.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of California, 90024, Los Angeles, California

    H. O. Fattorini

  2. Department of Mathematics, University of Buenos Aires, Buenos Aires, Argentina

    H. O. Fattorini

Authors
  1. H. O. Fattorini
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Jerome A. Goldstein

Rights and permissions

Reprints and permissions

Copyright information

© 1975 Springer-Verlag

About this paper

Cite this paper

Fattorini, H.O. (1975). Exact controllability of linear systems in infinite dimensional spaces. In: Goldstein, J.A. (eds) Partial Differential Equations and Related Topics. Lecture Notes in Mathematics, vol 446. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0070602

Download citation

  • DOI: https://doi.org/10.1007/BFb0070602

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07148-8

  • Online ISBN: 978-3-540-37440-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation