Skip to main content
Log in

Method of programmed iterations in pulse correction problems

  • Published:
Cybernetics Aims and scope

Abstract

Pulse correction problems are considered and a solution method based on programmed iterations is proposed. The structure of the solvability set of the pursuit problem with a fixed termination time is established subject to geometrical and mixed constraints on the set of control pulses.

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.

Similar content being viewed by others

Literature Cited

  1. N. N. Krasovskii, Game-Theoretical Problems of the Meeting of Motions [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  2. N. N. Krasovskii and A. I. Subbotin, Positional Differential Games [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  3. N. N. Krasovskii, Dynamic System Control: The Problem of Minimum Guaranteed Result [in Russian], Nauka, Moscow (1985).

    Google Scholar 

  4. L. S. Pontryagin, “Linear differential pursuit games,” Mat. Sb.,112, No. 3, 307–330 (1980).

    Google Scholar 

  5. E. F. Mishchenko, “On some game-theoretical pursuit and evasion games,” Avtomat. Telemekh., No 9, 24–30 (1972).

    Google Scholar 

  6. B. N. Pshenichnyi, “Structure of differential games,” Dokl. Akad. Nauk SSSR,184, No. 2, 285–287 (1969).

    Google Scholar 

  7. A. I. Subbotin and A. G. Chentsov, Optimization of Guaranteed Result in Control Problems [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  8. A. G. Chentsov, “On the pursuit game,” Dokl Akad. Nauk SSSR,226, No. 1, 73–76 (1976).

    Google Scholar 

  9. A. G. Chentsov and A. M. Lanshchikova, “On One Modification of the Methods of Programmed Iterations in, a System with Pulse Control [in Russian], UPI im. S. M. Kirova, Sverdlovsk (1986). Unpublished manuscript, VINITI 24.03.87 No. 2067-V.

    Google Scholar 

  10. A. G. Chentsov and A. M. Lanshchikova, Successive Corrections in a System with Pulse Disturbances [in Russian], UPI im. S. M. Kirova, Sverdlovsk (1987). Unpublished manuscript, VINITI 24.03.87 No. 2069-V.

    Google Scholar 

  11. J. Warga, Optimal Control of Differential and Functional Equations. Academic Press, New York (1972).

    Google Scholar 

  12. J. Dieudonne, Foundations of Modern Analysis, Academic Press, New York (1960).

    Google Scholar 

  13. L. S. Pontryagin, Ordinary Differential Equations [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  14. E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill, New York (1955).

    Google Scholar 

  15. J. Neveu, Mathematical Foundations of the Calculus of Probability, Holden Day, London (1965).

    Google Scholar 

  16. V. P. Dyatlov and A. G. Chentsov, Method of Monotone Iterations on the Space of Sets and Its Application to Control Problems on an Infinite Time Interval [in Russian], Inst. Mat. Mekh. UNTs Akad. Nauk SSSR, Sverdlovsk (1985). Unpublished manuscript, VINITI 05.05.85 No. 2931-85.

    Google Scholar 

Download references

Authors

Additional information

Translated from Kibernetika, No. 3, pp. 78–82, May–June., 1989.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chentsov, A.G., Lanshchikova, A.M. Method of programmed iterations in pulse correction problems. Cybern Syst Anal 25, 379–385 (1989). https://doi.org/10.1007/BF01069995

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01069995

Keywords

Navigation