INTERCEPTION TIME IN CLASSICAL PURSUIT METHODS

Abstract

The mathematical theory of conflict-managed processes under incomplete information, particularly in game problems of intercepting controlled targets, provides several classical methods for these problems. Among them, the resolving function method [1] provides a rigorous theoretical foundation for a number of interception laws widely applied in missile and space technology.

References

1. Chikrii, A.A. (1997) Conflict-controlled processes / A.A. Chikrii. Boston; London; Dordrecht: Kluwer Academ. Publ. 424 pp.
2. Locke A. (1955) Guidance. - D. Van Nostrand, Princeton – 729 p.
3. Yanushevsky, R. (2007) Modern missile guidance. Boca Raton, CRC Press. 240 p. https://doi.org/10.1201/9781420062281
4. Rahardian A.R.; Nazaruddin Y.Y.; Nadhira V.; Bandong S.( 2023) Implementation of Parallel Navigation and PID Controller for Drone Swarm Pursuit. IFAC-PapersOnLine, 56, 2513–2518. https://doi.org/10.1016/j.ifacol.2023.10.1300
5. Pashko S.V, Sinitsyn I.P. (2025) Optimal Pursuit Strategy Using Direction Toward the Target. Cybernetics and Systems Analysis, v. 61, issue 5, pp. 793-804. https://doi.org/10.34229/KCA2522-9664.25.5.9
6. Chikrii, A.O., Vyshensky, V.I. (2025). Pascal’s snail, Apollonius circle, and Cartesian oval in classical game problems of moving controlled objects interception. International Scientific Technical Journal Problems of Control and Informatics, 70(5), pp. 19–32. https://doi.org/10.34229/1028-0979-2025-5-2
7. Eaton, J.W., Bateman, D., Hauberg, S., Wehbring, R. (2025). GNU Octave version 10.3.0 manual: a high-level interactive language for numerical computations. URL https://www.gnu.org/software/octave/doc/v10.3.0/