Abstract
Consideration was given to the differential game of one pursuer against a group of one true and one false target in the three-dimensional space where the concordant targets solve the problem of evasion of the true target from being detected by the pursuer.
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 of Objects), Moscow: Sovetskoe Radio, 1977.
Chernous’ko, F.L. and Melikyan, A.A., Igrovye zadachi upravleniya i poiska (Game Problems of Control and Search), Moscow: Nauka, 1978.
Kim, D.P., Metody poiska i presledovaniya podvizhnykh ob”ektov (Methods of Search and Pursuit of Moving Objects), Moscow: Nauka, 1989.
Petrosyan, L.A. and Zenkevich, N.A., Optimal’nyi poisk v usloviyakh konflikta (Optimal Search in Conflict Environment), Leningrad: Leningr. Gos. Univ., 1987.
Chkhartishvili, A.G. and Shikin, E.V., Dynamic Search of Objects. A Geometrical View of the Problem, Fund. Prikl. Mat., 1995, vol. 1, no. 4, pp. 827–862.
Ivanov, M.N. and Maslov, E.P., On One Problem of Evasion, Avtom. Telemekh., 1984, no. 8, pp. 56–62.
Maslov, E.P. and Rubinovich, E.Ya., Differential Games of Pursuit-Evasion with Multiple Target, Itogi Nauki Tekhn., Ser. Tekhn. Kibern., 1991, vol. 32, pp. 33–59.
Shevchenko, I.I., Successive Pursuit with a Bounded Detection Domain, J. Opt. Theory Appl., 1997, vol. 95, no. 1, pp. 25–48.
Abramyants, T.G., Maslov, E.P., and Yakhno, V.P., On One Problem of Detection Evasion, Avtom. Telemekh., 2004, no. 10, pp. 3–12.
Isaaks, R., Differential Games. A Mathematical Theory with Applications to Warfare and Pursuit, Control, and Optimization, New York: Wiley, 1952. Translated under the title Differentsial’nye igry, Moscow: Mir, 1967.
Zheleznov, V.S., Ivanov, M.N., Kurskii, E.A., and Maslov, E.P., One One Problem of Evasion in Space, Avtom. Telemekh., 1992, no. 8, pp. 11–22.
Abramyants, T.G., Maslov, E.P., and Yakhno, V.P., On One Game Problem of Evasion of Multiple Target in the Three-dimensional Space, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 2005, no. 5, pp. 62–65.
Abramyants, T.G., Maslov, E.P., and Yakhno, V.P., Evasion of Detection in the Three-dimensional Space, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 2007, no. 5, pp. 6–10.
Muskhelishvili, N.I., Kurs analiticheskoi geometrii (A Course in Analytical Geometry), Moscow: Gostekhizdat, 1947.
Savelov, A.A., Ploskie krivye (Planar Curves), Moscow: Fizmatgiz, 1960.
Author information
Authors and Affiliations
Additional information
Original Russian Text © T.G. Abramyants, E.P. Maslov, V.P. Yakhno, 2008, published in Avtomatika i Telemekhanika, 2008, No. 5, pp. 3–14.
Rights and permissions
About this article
Cite this article
Abramyants, T.G., Maslov, E.P. & Yakhno, V.P. Evasion of multiple target in three-dimensional space. Autom Remote Control 69, 737–747 (2008). https://doi.org/10.1134/S0005117908050019
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0005117908050019