Skip to main content
Log in

A nonlinear game problem on reorientating an asymmetric solid by means of relay-controlled bounded moments

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

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

Access this article

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

Instant access to the full article PDF.

References

  1. V. I. Vorotnikov, Prikl. Mat. Mekh. 58(3), 82 (1994).

    MATH  MathSciNet  Google Scholar 

  2. V. I. Vorotnikov, Dokl. Akad. Nauk 343, 630 (1995) [Phys. Dokl. 40, 146 (1995)].

    MATH  MathSciNet  Google Scholar 

  3. V. I. Vorotnikov, Partial Stability and Control (Birkhauser, Boston, 1998).

    Google Scholar 

  4. V. I. Vorotnikov, Dokl. Akad. Nauk 373, 194 (2000) [Dokl. Phys. 45, 345 (2000)].

    MathSciNet  Google Scholar 

  5. V. I. Vorotnikov and V. V. Rumyantsev, Stability and Control over a Part of Coordinates of Phase Vector for Dynamic Systems: Theory, Methods, and Application (Nauchnyi Mir, Moscow, 2001).

    Google Scholar 

  6. N. N. Krasovskii, Game Problems for Counter-Motions (Nauka, Moscow, 1970).

    Google Scholar 

  7. M. Athans and P. L. Falb, Optimal Control (McGraw-Hill, New York, 1966).

    Google Scholar 

  8. L. S. Pontryagin, V. G. Boltyanskil, R. V. Gamkrelidze, and E. F. Mishchenko, Mathematical Theory of Optimal Processes (Nauka, Moscow, 1983; Gordon and Breach, New York, 1986).

    Google Scholar 

  9. F. L. Chernous’ko, Izv. Akad. Nauk, Tekh. Kibern., No. 1, 209 (1993).

  10. V. I. Vorotnikov, Stability of Dynamic Systems with Respect to a Part of Variables (Nauka, Moscow, 1991).

    Google Scholar 

  11. V. V. Rumyantsev and A. S. Oziraner, Stability and Stabilization of Motion with Respect to a Part of Variables (Nauka, Moscow, 1987).

    Google Scholar 

  12. A. L. Fradkov, I. V. Miroshnik, and V. O. Nikiforov, Nonlinear and Adaptive Control of Complex Systems (Kluwer, Dordrecht, 1999).

    Google Scholar 

  13. A. Miele, T. Wang, and W. W. Melvin, J. Optim. Theory Appl. 49(1), 1 (1986).

    Article  Google Scholar 

  14. G. Leitmann and S. Pandey, J. Optim. Theory Appl. 70(1), 25 (1991).

    Article  MathSciNet  Google Scholar 

  15. N. D. Botkin, M. A. Zarkh, V. M. Kein, et al., Izv. Akad. Nauk, Tekh. Kibern., No. 1, 68 (1993).

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Doklady Akademii Nauk, Vol. 381, No. 4, 2001, pp. 487–491.

Original Russian Text Copyright © 2001 by Vorotnikov.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vorotnikov, V.I. A nonlinear game problem on reorientating an asymmetric solid by means of relay-controlled bounded moments. Dokl. Phys. 46, 876–880 (2001). https://doi.org/10.1134/1.1433534

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1433534

Keywords

Navigation