Skip to main content

Almost Optimal Controls for Wideband Noise Driven Systems

  • Conference paper

Part of the book series: The IMA Volumes in Mathematics and Its Applications ((IMA,volume 10))

Abstract

The work reported here is based on the joint paper [1] of the author and W. Runggaldier.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. H.J. Kushner, W. Runggaldier, “Nearly optimal state feedback controls for stochastic systems with wideband noise disturbances,” to appear SIAM J. on Control and Optimization, also LCDS Rept 85–23, 1985, Brown University.

    Google Scholar 

  2. H.J. Kushner, W. Runggaldier, “Filtering and control for wide bandwidth noise driven systems’, LCDS Rept. 86–8, 1986, Brown University, IEEE Trans. Automatic Control, AC-32, 1987, p. 123–133.

    Article  MathSciNet  Google Scholar 

  3. H.J. Kushner, Approximations and Weak Convergence Methods for Random Process, with Applications to Stochastic Systems Theory, MIT Press, Cambridge, Mass. 1984.

    Google Scholar 

  4. H.J. Kushner, Hai Huang, “Approximate and limit results for non-linear filters with wideband observation noise”, STOCHASTICS, Feb. 1986.

    Google Scholar 

  5. W.H. Fleming “Generalized solutions in optimal stochastic control”, Proc. URI. Conf. on Control, 1982, p 147–165. Univ. of Rhode Island, R.I.

    Book  Google Scholar 

  6. W.H. Fleming, M. Nisio, On stochastic relaxed controls for partially observed diffusions’, Nagoya Math. J., 93, 1984, 71–108.

    MathSciNet  MATH  Google Scholar 

  7. T.G. Kurtz “Semigroups of conditioned shifts and approximations of Markov process”, Ann Prob., 4, 1975, 618–642.

    Article  MathSciNet  Google Scholar 

  8. H.J. Kushner, “Optimality conditions for the average cost per unit time problem with a diffusion model”, SIAM J. on Control & Optimization“, 16, 1978, 330–346.

    Article  MathSciNet  MATH  Google Scholar 

  9. M. Cox, I. Karatzas, “Stationary Control of Brownian motion in several dimensions”, Adv. Appl. Prob., 17, 1985, 531–561.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag New York Inc.

About this paper

Cite this paper

Kushner, H.J. (1988). Almost Optimal Controls for Wideband Noise Driven Systems. In: Fleming, W., Lions, PL. (eds) Stochastic Differential Systems, Stochastic Control Theory and Applications. The IMA Volumes in Mathematics and Its Applications, vol 10. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8762-6_17

Download citation

  • DOI: https://doi.org/10.1007/978-1-4613-8762-6_17

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8764-0

  • Online ISBN: 978-1-4613-8762-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics