Skip to main content
SpringerLink
Log in

A time-optimal setting of a dynamic object on an ellipsoid surface in multidimensional space

  • Mechanics
  • Published:
Doklady Physics Aims and scope Submit manuscript

Abstract

The technique of searching for optimal control, which makes it possible to transfer a dynamic object from an arbitrary point of the phase space onto the surface of an arbitrary multidimensional ellipsoid in the shortest time, is developed.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, The Mathematical Theory of Optimal Processes(Interscience Publishers John Wiley & Sons, Inc. New York–London, 1962).

    Google Scholar 

  2. V. F. Zhuravlev, Fundamentals of Theoretical Mechanics (Izdatel’stvo Fiziko-matematicheskoi literatury, Moscow, 2001) [in Russian].

    Google Scholar 

  3. F. L. Chernous’ko, State Estimation for Dynamic Systems (CRC Press, Boca Raton, Florida, 1994).

    MATH  Google Scholar 

  4. J. T. Betts, Practical Methods for Optimal Control Using Nonlinear Programming (PA SIAM, Philadelphia, 2001).

    MATH  Google Scholar 

  5. D. S. Naidu, Optimal Control Systems (CRC Press, Boca Raton, Florida, 2003).

    Google Scholar 

  6. L. D. Akulenko and A. M. Shmatkov, J. Comp. Syst. Sci. Int. 46 (1), 19 (2007).

    Article  Google Scholar 

  7. L. D. Akulenko, J. Comp. Syst. Sci. Int. 60 (5), 717 (1996).

    MathSciNet  Google Scholar 

  8. L. D. Akulenko and A. M. Shmatkov, Dokl. Math. 64 (1), 137 (2001).

    Google Scholar 

  9. L. D. Akulenko, J. Appl. Math. Mech. 78, 48 (2014).

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 117526, Russia

    L. D. Akulenko & A. M. Shmatkov

Authors
  1. L. D. Akulenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. M. Shmatkov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to L. D. Akulenko.

Additional information

Original Russian Text © L.D. Akulenko, A.M. Shmatkov, 2017, published in Doklady Akademii Nauk, 2017, Vol. 477, No. 1, pp. 35–38.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Akulenko, L.D., Shmatkov, A.M. A time-optimal setting of a dynamic object on an ellipsoid surface in multidimensional space. Dokl. Phys. 62, 503–506 (2017). https://doi.org/10.1134/S1028335817110015

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1028335817110015

Search

Navigation