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A SECOND-ORDER GRONOULL CONSERVATION PROBLEM FOR BOUNDARY CONTROLS

Authors

  • Gayniddinov Shaykhislam

    Lecturer at the Department of Intellectual Sciences and Information Technologies at the Namangan State Pedagogical Institute
    Author

  • Topildiyev Sirojiddin

    Lecturer at the Department of Intellectual Sciences and Information Technologies at the Namangan State Pedagogical Institute
    Author

Keywords:

Differential game, geometric boundedness, parallel pursuit strategy, chaser, escaper, acceleration, Granoull bounded.

Abstract

This paper investigates the problem of holding for second-order differential games with control Granoull boundedness. In this case, a parallel pursuit strategy is constructed for the pursuer and with its help, sufficient conditions for the capture problem are given.

References

Isaacs R. Differential games. John Wiley and Sons, New York, 1965

Nahin P.J. Chases and Escapes: The Mathematics of Pursuit and Evasion. Princeton University Press, Princeton, 2012

Azamov A.A., Samatov B.T. The П-Strategy: Analogies and Applications. The Fourth International Conference Game Theory and Management, St. Petersburg, Russia: 2010, p. 33-47.

Samatov B.T. The Pursuit- Evasion Problem under Integral-Geometric constraints on Pursuer controls. Automation and Remote Control, Pleiades Publishing, Ltd. New York: 2013, 74(7), p. 1072-1081.

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Published

2026-03-10

Issue

Vol. 1 No. 12 (2025): Progress spectrum

Section

Articles