Abstract
This article describes a geometric model when a group of pursuers pursues a single goal. Movement occurs on a plane, but if necessary, this model can be projected onto an explicitly defined surface. The speed of movement of all participants, both pursuers and targets, is constantly modulated. The goals and strategies of each of the pursuers, despite the difference in trajectories, share one criterion. Their goal is to approach the point of space associated with the object being pursued in a given direction, observing the restrictions on the curvature of the trajectory. The goal and strategy of the target is determined by the behavior of one of the pursuers. #COMESYSO1120
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References
Isaacs, R.: Differential Games. Mir, Moscow (1967)
Pontryagin, L.S.: Linear differential game of evasion. Tr. MIAN SSSR 112, 30–63 (1971)
Krasovsky, N.N., Subbotin, A.I.: Positional Differential Games. Nauka, Moscow (1974)
Zhelnin, Y.: Linearized pursuit and evasion problem on the plane. Sci. Notes TSAGI 3(8), 88–98 (1977)
Burdakov, S.V., Sizov, P.A.: Algorithms for motion control by a mobile robot in the pursuit problem. Sci. Tech. Bull. Saint Petersburg State Polytech. Univ. Comput. Sci. Telecommun. Manag. 6(210), 49–58 (2014)
Simakova, E.N.: On a differential game of pursuit. Autom. Telemech. 2, 5–14 (1967)
Algorithm for following predicted paths in the pursuit problem. http://dubanov.exponenta.ru. Accessed 07 May 2020
Video, group pursuit of a single target. https://www.youtube.com/watch?v=aC4PuXTgVS0&feature=youtu.be. Accessed 07 May 2020
Group pursuit with different strategies for a single goal. http://dubanov.exponenta.ru. Accessed 07 May 2020
Vagin, D.A., Petrov, N.N.: The task of chasing tightly coordinated escapees. Izvestiya RAS Theory Control Syst. 5, 75–79 (2001)
Bannikov, A.S.: Some non-stationary problems of group pursuit. Proc. Inst. Math. Comput. Sci. UdSU 1(41), 3–46 (2013)
Bannikov, A.S.: Non-Stationary task of group pursuit. In: Proceedings of the Lobachevsky Mathematical center, vol. 34, pp. 26–28. Publishing house of the Kazan mathematical society, Kazan (2006)
Izmestev, I.V., Ukhobotov, V.I.: The problem of chasing small-maneuverable objects with a terminal set in the form of a ring. In: Proceedings of the International Conference “Geometric Methods in Control Theory and Mathematical Physics: Differential Equations, Integrability, Qualitative Theory”, vol. 148, pp. 25–31. VINITI RAS, Moscow (2018)
Konstantinov, R.V.: On a quasi-linear differential game with simple dynamics in the presence of a phase constraint. Math. Notes 69(4), 581–590 (2001)
Pankratova, Y.B.: A Solution of a cooperative differential game of group pursuit. Discrete Anal. Oper. Res. 17(2), 57–78 (2010)
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Dubanov, A.A. (2020). Model of Group Pursuit of a Single Target Based on Following Previously Predicted Trajectories. In: Silhavy, R., Silhavy, P., Prokopova, Z. (eds) Software Engineering Perspectives in Intelligent Systems. CoMeSySo 2020. Advances in Intelligent Systems and Computing, vol 1295. Springer, Cham. https://doi.org/10.1007/978-3-030-63319-6_4
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DOI: https://doi.org/10.1007/978-3-030-63319-6_4
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