Abstract
A differential game of a single pursuer against a group of true and false targets in the three-dimensional space is considered, in which the targets, coordinating their actions, solve the problem of evasion of the true target from the detection 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
L. A. Petrosyan and A. Yu. Garnaev, Search Games (St. Petersburg Gos. Univ., St.-Petersburg, 1992) [in Russian].
V. A. Abchuk and V. G. Suzdal’, Pursuit of Objects (Sovetskoe Radio, Moscow, 1977) [in Russian].
F. L. Chernous’ko and A. A. Melikyan, Game-Theoretic Control and Search Problems (Nauka, Moscow, 1978) [in Russian].
D. P. Kim, Methods of Search and Pursuit of Mobile Objects (Nauka, Moscow, 1989) [in Russian].
L. A. Petrosyan and N. A. Zenkevich, Optimal Search under Conflict Conditions (Leningr. Gos. Univ., Leningrad, 1987) [in Russian].
V. S. Zheleznov, B. S. Kryakovskii, and E. P. Maslov, “A Simplest Differential Game with the Choice of a Moment in Mixed Policies,” Avtom. Telemekh., No. 8, 46–55 (1987).
A. N. Ermolov, B. S. Kryakovskii, and E. P. Maslov, “On a Differential Game in Mixed Policies,” Avtom. Telemekh., No. 10, 32–45 (1986).
A. G. Chkhartishvili and E. V. Shikin, “Dynamic Search of Objects. A Geometrical Approach to the Problem,” Fundamental’Naya i Prikladnaya Matematika (1995).
V. S. Zheleznov, M. N. Ivanov, E. A. Kurskii, et al., “On a Problem of Evasion in the Three-dimensional Space,” Avtom. Telemekh., No. 8, 11–22 (1992).
N. A. Zenkevich and L. A. Petrosyan, “Dynamic Models of Search under Conflict Conditions,” in Control in Dynamic Systems. Problems of Mechanics and Control Processes (Leningr. Gos. Univ., Leningrad, 1984), No. 7 [in Russian].
M. N. Ivanov and E. P. Maslov, “On an Evasion Problem,” Avtom. Telemekh., No. 8, 56–62 (1984).
R. L. Boyell, “Counterweapon Aiming for Defense of a Moving Target,” IEEE Trans. Aerospace Electron. Syst 22, 402–408 (1980).
E. P. Maslov and E. Ya. Rubinovich, “Differential Games of Pursuit-Evasion with a Multiple Target,” Itogi Nauki Tekh.: Tekh. Kibern. 32, 33–59 (1991).
I. I. Shevchenko, “Successive Pursuit with a Bounded Detection Domain,” J. Opt. Theory Appl. 95(1), 25–48 (1997).
T. G. Abramyants, E. P. Maslov, and V. P. Yakhno, “On a Problem of Evasion from Detection,” Avtom. Telemekh., No. 10, 3–12 (2004).
T. G. Abramyants, E. P. Maslov, and V. P. Yakhno, “On a Game Multiple Target Evasion Problem in the Three-Dimensional Space,” Izv. Ross. Akad. Nauk, Teor. Sist. Upr., No. 5, 62–65 (2005) [Comp. Syst. Sci. 44 (5), 728–731 (2005)].
R. Isaacs, Differential Games (Wiley, New York, 1965; Mir, Moscow, 1967).
Author information
Authors and Affiliations
Additional information
Original Russian Text © T.G. Abramyants, E.P. Maslov, V.P. Yakhno, 2007, published in Izvestiya Akademii Nauk. Teoriya i Sistemy Upravleniya, 2007, No. 5, pp. 5–10.
Rights and permissions
About this article
Cite this article
Abramyants, T.G., Maslov, E.P. & Yakhno, V.P. Evasion from detection in the three-dimensional space. J. Comput. Syst. Sci. Int. 46, 675–680 (2007). https://doi.org/10.1134/S1064230707050012
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1064230707050012