Skip to main content

Bang-Bang optimal controls

Part IV. Bang-bang Characterization Theorems

  • 280 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 479)

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.99
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. S. D. Fisher and J. W. Jerome, “Perfect spline solutions to L extremal problems’, J. Approximation Theory, 12 (1974), 78–90.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. G. Glaeser, “Prolongement extrèmal de fonctions differentiables’, Publ. Sect. Math. Faculte des Sciences Rennes, Rennes, France, 1967.

    Google Scholar 

  3. P. Hartman, Ordinary Differential Equations, Wiley, New York, 1964.

    MATH  Google Scholar 

  4. H. Hermes and J. P. LaSalle, Functional Analysis and Time Optimal Control, Academic Press, New York, 1969.

    MATH  Google Scholar 

  5. R. Louboutin, “Sur une bonne partition de l’unite”, in, Le Prolongateur de Whitney, Vol. II (G. Glaeser, ed.), Universite de Rennes, Rennes, France, 1967.

    Google Scholar 

  6. D. E. McClure, “Perfect spline solutions of L extremal problems by control methods”, J. Approximation Theory, to appear.

    Google Scholar 

  7. L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze and E. F. Mischenko, The Mathematical Theory of Optimal Processes, Interscience, New York, 1962.

    Google Scholar 

  8. I. J. Schoenberg, “The perfect B-splines and a time-optimal control problem”, Israel. J. Math., 10 (1971), 261–274.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. P. W. Smith, “Wr, p (IR)-splines”, Dissertation, Purdue University, Lafayette, Indiana, 1972.

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 1975 Springer-Verlag

About this chapter

Cite this chapter

Fisher, S.D., Jerome, J.W. (1975). Bang-Bang optimal controls. In: Minimum Norm Extremals in Function Spaces. Lecture Notes in Mathematics, vol 479. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097067

Download citation

  • DOI: https://doi.org/10.1007/BFb0097067

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07394-9

  • Online ISBN: 978-3-540-37599-9

  • eBook Packages: Springer Book Archive