Abstract
A differential pursuit game for a group of true and false targets, in which coherently acting targets maximize the minimal distance between the pursuer and true target, is studied.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
. Petrosyan, L. A. and Garnaev, A. Yu., Igry poiska (Search Games), St. Petersburg: S.-Peterburg. Gos. Univ., 1992.
. Abchuk, V. A. and Suzdal', V. G., Poisk ob"ektov (Search for Objects), Moscow: Sovetskoe Radio, 1977.
. Chernous'ko, F. L. and Melikyan, A. A., Igrovye zadachi upravleniya i poiska (Control and Search Game Problems), Moscow: Nauka, 1978.
. Kim, D. P., Metody poiska i presledovaniya podvizhnykh ob"ektov (Search and Pursuit Methods for Moving Objects), Moscow: Nauka, 1989.
. Petrosyan, L. A. and Zenkevich, N. A., Optimal'nyi poisk v usloviyakh kon ikta (Optimal Search under Con ict), Leningrad: Leningrad. Gos. Univ., 1987.
. Ermolov, A. N., Kryakovskii, B. S., and Maslov, E. P., A Di_erential Game with Mixed Strategies, Avtom. Telemekh. 1986, no. 10, pp. 32–45.
. Zheleznov, V. S., Kryakovskii, B. S., and Maslov, E. P., A Simple Differential Game with Choice of Instant in Mixed Strategies, Avtom. Telemekh, 1987, no. 8, pp. 46–55.
. Chkhartishvili, A. G. and Shikin, E. V., Dynamic Search for Objects: A Geometric Viewpoint, Fund. Prikl. Mat., 1995, vol. 1, no.4, pp. 827–862.
. Zheleznov, V.S., Ivanov, M.N., Kurskii, E.A., and Maslov, E.P., A Problem of Evasion in Space, Avtom. Telemekh., 1992, no. 8, pp. 56–62.
. Zenkevich, N. A. and Petrosyan, L. A., Dynamic Models of Search under Con ict, in Voprosy mekhaniki i protsessov upravleniya (Mechanics and Control Processes), Leningrad: Leningrad. Gos. Univ., 1984, issue 7.
. Ivanov, M. N. and Maslov, E. P., An Evasion Problem, Avtom. Telemekh., 1984, no. 8, pp. 56–62.
. Boyell, R. L., Counterweapon Aiming for Defense of a Moving Target, IEEE Trans. Aerospace Electron. Syst., 1980, vol. 22, pp. 402–408.
. Maslov, E.P. and Rubinovich, E.Ya., Di_erential Pursuit-Evasion Games with a Group Target, in Itogi Nauki i Tekhniki: Tekhnicheskaya Kibernetika, 1991, vol. 23.
. Shevchenko, I. I., Poocherednoe presledovanie pri ogranichennoi oblasti nablyudeniya (Sequential Pursuit under Bounded Observation Domain), Vladivostok: Dal'nevost. Gos. Univ., 2003.
. Shevchenko, I. I., Successive Pursuit with a Bounded Detection Domain, J. Opt. Theory Appl., 1997, vol. 95, no. 1.
. Isaaks, R., Di_erential Games. A Mathematical Theory with Applications to Warfare and Pursuit, Control, and Optimization, New York: Wiley, 1952. Translated under the title Di_erentsial'nye igry, Moscow: Mir, 1967.
. Savelov, A.A., Ploskie krivye (Plane Curves), Moscow: Fizmatgiz, 1960.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Abramyants, T.G., Ivanov, M.N., Maslov, E.P. et al. A Detection Evasion Problem. Automation and Remote Control 65, 1523–1530 (2004). https://doi.org/10.1023/B:AURC.0000044263.41366.3d
Issue Date:
DOI: https://doi.org/10.1023/B:AURC.0000044263.41366.3d