Skip to main content
SpringerLink
Log in

A linear problem of pulse encounter at a given time under interference

  • Published:
Proceedings of the Steklov Institute of Mathematics Aims and scope Submit manuscript

Abstract

The problem of pulse encounter with a closed set at a given time is investigated. The system is influenced by an uncontrolled interference. The choice of the interference is subject to mixed constraints.

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. N. N. Krasovskii, Theory of Motion Control (Nauka, Moscow, 1968) [in Russian].

    Google Scholar 

  2. N. N. Krasovskii, Prikl. Mat. Mekh. 27(2), 244 (1963).

    MathSciNet  Google Scholar 

  3. N. N. Krasovskii, Yu. M. Repin, and V. E. Tret’yakov, Izv. Akad. Nauk SSSR, Ser. Tekhn. Kibernet. 4, 3 (1965).

    Google Scholar 

  4. N. N. Krasovskii and V. E. Tret’yakov, Differents. Uravneniya 2(5), 587 (1966).

    Google Scholar 

  5. G. K. Pozharitskii, Prikl. Mat. Mekh. 39(4), 579 (1975).

    MathSciNet  Google Scholar 

  6. N. N. Subbotina and A. I. Subbotin, Prikl. Mat. Mekh. 39(3), 397 (1975).

    MathSciNet  Google Scholar 

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

    MATH  Google Scholar 

  8. V. I. Ukhobotov, Prikl. Mat. Mekh. 52(3), 355 (1988).

    MathSciNet  Google Scholar 

  9. V. I. Ukhobotov, Guaranteed Stable Bridge in the Linear Game of Pulse Encounter under Restriction on the Energy (Chelyab. Gos. Univ., 1987), Available from VINITI, No. 3254-V87 [in Russian].

  10. A. F. Filippov, Vestn. Mosk. Gos. Univ., Ser. Mat. Mekh. 2, 25 (1959).

    Google Scholar 

  11. H. Hermes, Advances Math. 4(2), 149 (1970).

    Article  MathSciNet  Google Scholar 

  12. V. I. Ukhobotov, Izv. Ross. Akad. Nauk, Ser. Tekhn. Kibernet. 3, 192 (1994).

    Google Scholar 

  13. V. I. Ukhobotov, The Method of One-Dimensional Projection in Linear Differential Games with Integral Constraints (Chelyab. Gos. Univ., Chelyabinsk, 2005) [in Russian].

    Google Scholar 

  14. A. N. Kolmogorov and S. V. Fomin, Elements of the Theory of Functions and Functional Analysis (Nauka, Moscow, 1972; Dover, New York, 1999).

    MATH  Google Scholar 

  15. B. N. Pshenichnyi and M. I. Sagaidak, Kibernetika 2, 54 (1970).

    Google Scholar 

  16. B. N. Pshenichnyi, Convex Analysis and Extremal Problems (Nauka, Moscow, 1980) [in Russian].

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Chelyabinsk State University, ul. Br. Kashirinykh 129, Chelyabinsk, 454001, Russia

    V. I. Ukhobotov & O. V. Zaitseva

Authors
  1. V. I. Ukhobotov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. O. V. Zaitseva
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. I. Ukhobotov.

Additional information

Original Russian Text © V.I. Ukhobotov, O.V. Zaitseva, 2010, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Vol. 16, No. 1.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ukhobotov, V.I., Zaitseva, O.V. A linear problem of pulse encounter at a given time under interference. Proc. Steklov Inst. Math. 272 (Suppl 1), 215–228 (2011). https://doi.org/10.1134/S0081543811020167

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0081543811020167

Keywords

Search

Navigation