Abstract
In the group pursuit problem for rigidly coordinated targets pursued by a group of inertial objects, we construct a control that guarantees evasion.
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Blagodatskikh, A.I, Evasion of Rigidly Coordinated Escaping Objects with Phase Constraints, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 2004, no. 6, pp. 143–149.
Blagodatskikh, A.I, Weak Evasion of a Group of Coordinated Evaders, J. Appl. Math. Mech., 2005, vol. 6, pp. 891–899.
Grigorenko, N.L., Matematicheskie metody upravleniya neskol’kimi dinamicheskimi protsessami (Mathematical Methods for Control over Several Dynamic Processes), Moscow: Mosk. Gos. Univ., 1990.
Krasovskii, N.N. and Subbotin, A.I., Pozitsionnye differentsial’nye igry (Positional Differential Games), Moscow: Nauka, 1974.
Petrosyan, L.A., Differentsial’nye igry presledovaniya (Differential Pursuit Games), Leningrad: Leningr. Gos. Univ., 1977.
Satimov, N.Yu. and Rikhsiev, B.B, Quasilinear Differential Evasion Games, Differ. Uravn., 1978, vol. 14, no. 6, pp. 1047–1052.
Satimov, N.Yu. and Rikhsiev, B.B., Metody resheniya zadachi ukloneniya ot vstrechi v matematicheskoi teorii upravleniya (Methods of Solution of Evasion Problems in Mathematical Control Theory), Tashkent: Fan, 2000.
Chikrii, A.A., Konfliktno upravlyaemye protsessy (Conflict Controlled Processes), Kiev: Naukova Dumka, 1992.
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Original Russian Text © A.I. Blagodatskikh, 2015, published in Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2015, No. 1, pp. 3–14.
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Blagodatskikh, A.I. Evasion of rigidly coordinated targets under phase constraints. Autom Remote Control 78, 1151–1158 (2017). https://doi.org/10.1134/S0005117917060157
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DOI: https://doi.org/10.1134/S0005117917060157