Evasion Differential Game of Infinitely Many Evaders from Infinitely Many Pursuers in Hilbert Space

Alexander S, Bishop R, Christ R (2009) Capture pursuit games on unbounded domain. Lënseignement Mathëmatique 55(1/2):103–125

Azimov AY (1974) Linear evasion differential game with integral constraints on controls. USSR Comput Math Math Phys 14(6):56–65. doi: 10.1016/0041-5553(74)90169-4

Belousov AA (2010) Method of resolving functions for differential games with integral constraints. Theory Optim Solut 9:10–16 (in Russian)

Blagodatskikh AI, Petrov NN (2009) Conflict interaction of groups of controlled objects. Udmurt State University, Izhevsk (in Russian)

Borowko P, Rzymovski W, Stachura A (1988) Evasion from many pursuers in the simple case. J Math Anal Appl 135(1):75–80

Chernous’ko FL, Zak VL (1985) On differential games of evasion from many pursuers. J Optim Theory Appl 46(4):461–470

Chikrii AA (1975) Evasion problem in non stationary differential games. J Appl Math Mech 39(5):751–758

Chikrii AA, Belousov AA (2010) On linear differential games with integral constraints. Proc Steklov Inst Math 269(Issue 1 Supplement):69–80

Chodun W (1988) Avoidance of many pursuers in differential games described by differential inclusions. J Math Anal Appl 135:581–590

Gamkrelidze RV, Kharatashvili GL (1974) A differential game of evasion with nonlinear control. SIAM J Control 12(2):332–349

Grigorenko NL (1990) Mathematical methods of control for several dynamic processes. Izdat Gos Univ, Moscow (in Russian)

Gusyatnikov PB (1978) A differential game of evasion. Kibernerika 4:72–77 (in Russian)

Ibragimov GI, Azamov A, Khakestari M (2011) Solution of a linear pursuit–evasion game with integral constraints. Anziam J 52(E):E59–E75

Ibragimov G, Salimi M, Amini M (2012) Evasion from many pursuers in simple motion differential game with integral constraints. Eur J Oper Res 218(2):505–511

Ibragimov GI (2013) The optimal pursuit problem reduced to an infinite system of differential equations. J Appl Math Mech 77:470–476. doi: 10.1016/j.jappmathmech.2013.12.002

Ibragimov GI, Allahabi F, Kuchkarov A (2014) A pursuit problem in an infinite system of second-order differential equations. Ukr Math J 65(8):1203–1216

Ibragimov GI, Mat Hasim R (2010) An evasion differential game in Hilbert space. Int Game Theory Rev 12(3):239–251

Ibragimov G, Salleh Y (2012) Simple motion evasion differential game of many pursuers and one evader with integral constraints on control functions of players. J Appl Math. doi: 10.1155/2012/748096 . Article ID 748096

Ibragimov G, Satimov N (2012) A multiplayer pursuit differential game on a closed convex set with integral constraints. Abstr Appl Anal. doi: 10.1155/2012/460171 . Article ID 460171

Ivanov RP (1980) Simple pursuit–evasion on a compactum. Sov Math Dokl 22, 579–583 (translation from Dokl Akad Nauk SSSR 254(6):1318–1321 (1980))

Krasovskii NN, Subbotin AI (1974) Positional differential games. Nauka, Moscow (in Russian)

Kuchkarov AS, Ibragimov GI, Khakestari M (2013) On a linear differential game of optimal approach of many pursuers with one evader. J Dyn Control Syst 19(1):1–15. doi: 10.1007/s10883-013-9161-z

Mesencev AV (1974) Sufficient escape conditions for linear games with integral constraints. Doklady Akademii Nauk SSSR 218(5):1021–1023 (in Russian)

Mishchenko EF, Nikol’skii MS, Satimov N (1980) The problem of avoiding encounter in $$n$$ n -person differential games. Proc Steklov Inst Math 143:111–136 (translation from Tr Mat Inst Steklova 143:105–128 (1977))

Nikol’skii MS (1975) A quasilinear evasion problem. Sov Math Dokl 16:379–383 (translation from. Dokl Akad Nauk SSSR 221(2):539–542 (1975))

Nikol’skii MS (1969) The direct method in linear differential games with integral constraints. Controll Syst IM, IK, SO AN SSSR 2:49–59 (in Russian)

Petrosjan LA (1966) Pursuit games with many participants. Izv Akad Nauk Arm SSR 1(5):331–340 (in Russian)

Petrov NN (1997) Simple pursuit of rigidly linked evaders. Autom Remote Control 58(12):1914–1919

Pontryagin LS, Mishchenko YF (1969) The problem of avoiding a controlled object by another object. Dokl Akad Nauk SSSR 189(4):721–723 (in Russian)

Pontryagin LS, Mishchenko EF (1971) The problem of evading the encounter in linear differential games. Differ Uravn 7:436–445 (in Russian)

Pshenichii BN (1976) Simple pursuit by several objects. Cybern Syst Anal 12(3):484–485. doi: 10.1007/BF01070036

Pshenichnii BN, Chikrii AA, Rappoport JS (1981) An efficient method of solving differential games with many pursuers. Dokl Akad Nauk SSSR 256:530–535 (in Russian)

Sakharov DV (2010) About one differential game of pursuit with many persons. Bull Udmurt Univ Math Mech Comput Sci 1:81–88 (in Russian)

Salimi M, Ibragimov GI, Siegmund S, Sharifi S (2015) On a fixed duration pursuit differential game with geometric and integral constraints. Dyn Games Appl. doi: 10.1007/s13235-015-0161-3

Samatov BT (2013) Problems of group pursuit with integral constraints on controls of the players. I. Cybern Syst Anal 49(5):756–767

Satimov NY, Rikhsiev BB, Khamdamov AA (1983) On a pursuit problem for $$n$$ n person linear differential and discrete games with integral constraints. Math USSR Sb 46(4):459–471. doi: 10.1070/SM1983v046n04ABEH002946

Satimov NY, Rikhsiev BB (2000) Methods of solving of evasion problems in mathematical control theory. Fan, Uzbekistan (in Russian)

Shiyuan J, Zhihua Q (2010) Pursuit–evasion games with multi-pursuer vs. one fast evader. In: Proceedings of the 8-th world congress on intelligent control and automation, pp 3184–3189

Stipanovic DM, Melikyan AA, Hovakimyan N (2009) Some sufficient conditions for multi-player pursuit-evasion games with continuous and discrete observations. In: Bernhard P, Gaitsgory V, Pourtallier O (eds) Annals of the international society of dynamics games, Advances in dynamic games and applications, vol 10. Springer, Berlin, pp 133–145

Subbotin AI, Ushakov VN (1975) Alternative for an encounter–evasion differential game with integral constraints on the players’ controls. J Appl Math Mech 39(3):387–396

Ushakov VN (1972) Extremal strategies in differential games with integral constraints. PMM 36(1):15–23

Vagin DA, Petrov NN (2001) Simple pursuit of rigidly connected evaders. Izv Ross Akad Nauk TSU 5:75–79 (in Russian)