Group Pursuit Problem in a Differential Game with Fractional Derivatives, State Constraints, and Simple Matrix
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Krasovskii, N.N. and Subbotin, A.I., Pozitsionnye differentsial'nye igry (Positional Differential Games), Moscow: Fizmatlit, 1974.
Rikhsiev, B.B., Differentsial'nye igry s prostymi dvizheniyami (Differential Games with Simple Motions), Tashkent: FAN, 1989.
Chikrii, A.A., Konfliktno upravlyaemye protsessy (Conflict-Controlled Processes), Kiev: Naukova Dumka, 1992.
Grigorenko, N.L., Matematicheskie metody upravleniya neskol'kimi dinamicheskimi protsessami (Mathematical Methods for Controlling Several Dynamic Processes), Moscow: Moscow State Univ., 1990.
Blagodatskikh, A.I. and Petrov, N.N., Konfliktnoe vzaimodeistvie grupp upravlyaemykh ob"ektov (Conflict Interaction of Groups of Plants), Izhevsk: Udmurt State Univ., 2009.
Eidel'man, S.D. and Chikrii, A.A., Dynamic game problems of approach for fractional-order equations, Ukr. Math. J., 2000, vol. 52, no. 11, pp. 1787–1806.
Chikrii, A.A. and Matichin, I.I., Game problems for linear systems of fractional order, Tr. Inst. Mat. Mekh. Ural Branch Russ. Acad. Sci., 2009, vol. 15, no. 3, pp. 262–278.
Chikrii, A.A. and Matichin, I.I., On conflict-controlled linear processes with fractional derivatives, Tr. Inst. Mat. Mekh. Ural Branch Russ. Acad. Sci., 2011, vol. 17, no. 2, pp. 256–270.
Petrov, N.N., One problem of group pursuit with fractional derivatives and state constraints, Vestn. Udmurt Univ. Mat. Mekh. Komp. Nauki, 2017, vol. 27, no. 1, pp. 54–59.
Bannikov, A.S., Evasion from a group of pursuers in the group pursuit problem with fractional derivatives and state constraints, Vestn. Udmurt Univ. Mat. Mekh. Komp. Nauki, 2017, vol. 27, no. 3, pp. 309–314.
Petrov, N.N., Multiple capture in one group pursuit problem with fractional derivatives, Tr. Inst. Mat. Mekh. Ural Branch Russ. Acad. Sci., 2018, vol. 24, no. 1, pp. 156–164.
Petrov, N.N., To a nonstationary group pursuit problem with phase constraints, Autom. Remote Control, 2014, vol. 75, no. 8, pp. 1525–1531.
Blagodatskikh, A.I. and Petrov, N.N., Group pursuit with state constraints in Pontryagin's almost periodic example, Differ. Equations, 2015, vol. 51, no. 3, pp. 391–398.
Petrov, N.N. and Solov'eva, N.A., Multiple capture in L.S. Pontryagin's recurrent example with state constraints, Tr. Inst. Mat. Mekh. Ural Branch Russ. Acad. Sci., 2015, vol. 21, no. 2, pp. 178–186.
Caputo, M., Linear model of dissipation whose q is almost frequency independent-II, Geophys. R. Astr. Soc., 1967, no. 13, pp. 529–539.
Popov, A.Yu. and Sedletskii, A.M., Distribution of roots of Mittag-Leffler functions, J. Math. Sci., 2013, vol. 190, no. 2, pp. 209–409.
Chikrii, A.A. and Matichin, I.I., On an analog of the Cauchy formula for linear systems of arbitrary fractional order, Dop. Nats. Akad. Nauk Ukr., 2007, no. 1, pp. 50–55.
Dzhrbashyan, M.M., Integral'nye preobrazovaniya i predstavleniya funktsii v kompleksnoi oblasti (Integral Transforms and Representations of Functions in Complex Domain), Moscow: Nauka, 1966.
Parthasarathy, T. and Raghavan, T.E., Some Topics in Two-Person Games, New York: Elsevier, 1971. Translated under the title Nekotorye voprosy teorii igr dvukh lits, Moscow: Mir, 1974.
Petrov, N.N., On the controllability of autonomous systems, Differ. Uravn., 1968, vol. 4, no. 4, pp. 606–617.