Andrey Izmailovich Subbotin

Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 2, pp. 5-20

Bibliographie

[1] “Ob upravlenii dvizheniem kvazilineinoi sistemy”, Differents. uravneniya, 3:7 (1967), 1113–1118 | Zbl

[2] “K zadache ob igrovoi vstreche dvizhenii”, Prikl. matematika i mekhanika, 31:5 (1967), 834–840 | Zbl

[3] “Regulyarizatsiya odnoi zadachi o vstreche dvizhenii”, Differents. uravneniya, 4:5 (1968), 779–784 | Zbl

[4] “Optimalnoe uklonenie v differentsialnoi igre”, Differents. uravneniya, 4:12 (1968), 2159–2165 (with N.N. Krasovskim)

[5] “Zadacha o sblizhenii upravlyaemykh ob'ektov”, Prikl. matematika i mekhanika, 32:4 (1968), 575–586 (with N.N. Krasovskim) | MR

[6] Zadachi o vstreche i uklonenii v differentsialnykh igrakh, dis. na soisk. uchen. stepeni kand. fiz.-mat. nauk, Ural. gos. un-t im. A.M. Gorkogo, Sverdlovsk, 1969, 100 pp.

[7] Zadachi o vstreche i uklonenii v differentsialnykh igrakh, avtoref. dis. na soisk. uchen. stepeni kand. fiz.-mat. nauk, Ural. gos. un-t im. A.M. Gorkogo, Sverdlovsk, 1969, 11 pp.

[8] “Smeshannoe upravlenie v differentsialnoi igre”, Dokl. AN SSSR, 188:4 (1969), 745–747 (with N.N. Krasovskim) | MR

[9] “Ob optimalnykh strategiyakh v lineinoi differentsialnoi igre”, Prikl. matematika i mekhanika, 33:4 (1969), 698–704 (with N.N. Krasovskim)

[10] “Regulyarizatsiya odnoi zadachi presledovaniya”, Tr. Vtoroi resp. konf. matematikov Belorussii, Belorus. gos. un-t, Minsk, 1969, 219–221 (with V.E. Tretyakovym)

[11] “O strukture differentsialnykh igr”, Dokl. AN SSSR, 190:3 (1970), 523–526 (with N.N. Krasovskim) | MR

[12] “Differents. igry s ogranicheniyami na fazovye sostoyaniya”, Dokl. AN SSSR, 193:2 (1970), 294–297 | Zbl

[13] “Differentsialnaya igra navedeniya”, Differents. uravneniya, 6:4 (1970), 579–591 (with N.N. Krasovskim) | MR

[14] “O nepreryvnykh strategiyakh ukloneniya v igrovykh zadachakh o vstreche dvizhenii”, Prikl. matematika i mekhanika, 34:5 (1970), 796–803 (with N.N. Barabanovoi)

[15] “Alternativa dlya igrovoi zadachi sblizheniya”, Prikl. matematika i mekhanika, 34:6 (1970), 1005–1022 (with N.N. Krasovskim)

[16] “Ekstremalnye strategii v differentsialnykh igrakh”, Dokl. AN SSSR, 196:2 (1971), 278–281 (with N.N. Krasovskim) | MR

[17] “O strukture igrovykh zadach dinamiki”, Prikl. matematika i mekhanika, 35:1 (1971), 110–122 (with N.N. Krasovskim)

[18] “O klassakh strategii v differentsialnykh igrakh ukloneniya ot vstrechi”, Prikl. matematika i mekhanika, 35:3 (1971), 385–392 (with N.N. Barabanovoi)

[19] “Regulyarnyi sluchai v lineinoi differentsialnoi igre”, Izv. AN SSSR. Tekhnicheskaya kibernetika, 6 (1971), 8–12 (with V.D. Batukhtinym)

[20] “Minimaksnaya differentsialnaya igra”, Dokl. AN SSSR, 206:2 (1972), 277–280 (with N.N. Krasovskim, V.N. Ushakovym) | MR

[21] “Ekstremalnye strategii v differentsialnykh igrakh s polnoi pamyatyu”, Dokl. AN SSSR, 206:3 (1972), 552–555 | Zbl

[22] “Ob usloviyakh zaversheniya igry presledovaniya”, Izv. AN SSSR. Tekhnicheskaya kibernetika, 1 (1972), 3–8 (with V.D. Batukhtinym)

[23] “Pozitsionnoe i programmnoe pogloschenie v differentsialnykh igrakh”, Prikl. matematika i mekhanika, 36:4 (1972), 740–743 | Zbl

[24] “O sedlovoi tochke pozitsionnoi differentsialnoi igry”, Tr. MIAN, 128 (1972), 22–33 (with N.N. Krasovskim)

[25] Ekstremalnye strategii v differentsialnykh igrakh, dis. na soisk. uchen. stepeni d-ra fiz.-mat. nauk, Ural. gos. un-t im. A.M. Gorkogo, Sverdlovsk, 1973, 174 pp.

[26] Ekstremalnye strategii v differentsialnykh igrakh, avtoref. dis. na soisk. uchen. stepeni d-ra fiz.-mat. nauk, Ural. gos. un-t im. A.M. Gorkogo, Sverdlovsk, 1973, 26 pp.

[27] “Approksimatsiya v differentsialnykh igrakh”, Prikl. matematika i mekhanika, 37:2 (1973), 197–204 (with N.N. Krasovskim)

[28] “Differents. igry s polnoi pamyatyu”, Ekstrem. strategii v pozits. differents. igrakh, v. 8, IMM UNTs AN SSSR, Sverdlovsk, 1974, 211–223

[29] “Control under indeterminacy and conflict conditions”, Intern. Congr. Maths (Vancouver, Canada, Aug 1974): proceedings, v. 2, Montreal, 1975, 361–366 | MR

[30] Pozitsionnye differentsialnye igry, Nauka, M., 1974 (with N.N. Krasovskim), 456 pp. | MR

[31] “Differents. igry v smeshannykh strategiyakh”, Probl. analit. mekhaniki i teorii ustoichivosti i upr., Nauka, M., 1975, 11–18 (with N.N. Krasovskim)

[32] “Upravlenie v usloviyakh konflikta i neopredelennosti”, Intern. Congr. Maths (Vancouver, Canada, Aug 1974): proceedings, 2, Montreal, 1975, 361–366 | Zbl

[33] “Stokhasticheskie strategii v differentsialnykh igrakh”, Dokl. AN SSSR, 220:5 (1975), 1023–1026 (with N.N. Krasovskim, V.F. Rossokhiinym) | MR

[34] “Alternativa dlya differentsialnoi igry sblizheniya-ukloneniya pri integralnykh ogranicheniyakh na upravleniya igrokov”, Prikl. matematika i mekhanika, 39:3 (1975), 387–396 (with V.N. Ushakovym) | MR

[35] “Alternativa dlya differentsialnoi igry sblizheniya-ukloneniya pri ogranicheniyakh na impulsy upravlenii igrokov”, Prikl. matematika i mekhanika, 39:3 (1975), 397–406 (with N.N. Subbotinoi) | MR

[36] “Dinamicheskaya igra sblizheniya-ukloneniya”, Dokl. AN SSSR, 234:2 (1977), 323–326 | MR | Zbl

[37] “Igrovaya zadacha upravleniya pri nepolnoi informatsii”, Izv. AN SSSR. Tekhnicheskaya kibernetika, 5 (1977), 14–23 (with N.N. Subbotinoi)

[38] “Neobkhodimye i dostatochnye usloviya dlya kusochno-gladkoi tseny differentsialnoi igry”, Dokl. AN SSSR, 243:4 (1978), 862–865 (with N.N. Subbotinoi) | MR

[39] “Obobschennye potentsialy v differentsialnoi igre s fiksirovannym momentom okonchaniya”, Prikl. matematika i mekhanika, 42:2 (1978), 195–201 (with M. Baibazarovym)

[40] “Igrovaya zadacha presledovaniya v usloviyakh nepolnoi fazovoi informatsii o presleduemoi sisteme”, Differents. sistemy upr., sb. st., no. 26, IMM UNTs AN SSSR, Sverdlovsk, 1979, 21–33 (with A.A. Krekninym)

[41] “Igrovye zadachi o vstreche s tselevymi mnozhestvami”, Prikl. matematika i mekhanika, 43:2 (1979), 204–208 (with M.S. Gabrielyanom) | MR

[42] “Obobschenie osnovnogo uravneniya teorii differentsialnykh igr”, Dokl. AN SSSR, 254:2 (1980), 293–297 | MR | Zbl

[43] Optimizatsiya garantii v zadachakh upravleniya, Nauka, M., 1981 (with A.G. Chentsovym), 288 pp. | MR

[44] “Neobkhodimye i dostatochnye usloviya dlya negladkoi tseny differentsialnoi igry”, Zadachi dinamicheskogo upr., IMM UNTs AN SSSR, Sverdlovsk, 1981, 73–81 (with N.N. Subbotinoi)

[45] “Programmnyi maksimin i tsena pozitsionnoi differentsialnoi igry”, Dokl. AN SSSR, 257:6 (1981), 1305–1309 (with V.Ya. Dzhafarovym) | MR

[46] “Nekotorye zadachi ustoichivosti i stabilizatsii v differentsialnykh igrakh”, Ustoichivost dvizheniya. Analit. mekhanika. Upr. dvizheniem, Nauka, M., 1981, 238–251 (with V.M. Reshetovym, V.N. Ushakovym)

[47] “On the isochronous and stroboscopic capture in differential games”, J. Optim. Theory Appl., 37:1 (1982), 115–119 | DOI | MR | Zbl

[48] O kharakteristicheskikh svoistvakh funktsii tseny lineinoi differentsialnoi igry, Dep. v VINITI No4320–8282, Kirov, 1982 (with V.F. Rossokhinym), 30 pp.

[49] “Funktsiya optimalnogo rezultata v zadache upravleniya”, Dokl. AN SSSR, 266:2 (1982), 294–299 (with N.N. Subbotinoi) | MR

[50] “Svoistva potentsiala differentsialnoi igry”, Prikl. matematika i mekhanika, 46:2 (1982), 204–211 (with N.N. Subbotinoi) | MR

[51] “Svoistva differentsiruemosti funktsii tseny differentsialnoi igry s integralno-terminalnoi platoi”, Problemy upravleniya i teorii informatsii, 12:3 (1983), 153–166 (with N.N. Subbotinoi) | MR

[52] “K voprosu obosnovaniya metoda dinamicheskogo programmirovaniya v zadache optimalnogo upravleniya”, Izv. AN SSSR. Tekhnicheskaya kibernetika, 2 (1983), 24–32 (with N.N. Subbotinoi)

[53] “Generalization of the main equation of differential game theory”, J. Optim. Theory Appl, 43:1 (1984), 103–133 | DOI | MR | Zbl

[54] “Ob odnom opredelenii tseny differentsialnoi igry”, Differents. uravneniya, 20:9 (1984), 1489–1495 (with M. Baibazarovym) | MR

[55] Neravenstva dlya sopryazhennykh proizvodnykh funktsii tseny differentsialnoi igry, Dep. v VINITI No6345-84, Sverdlovsk, 1984 (with A.M. Tarasevym), 23 pp.

[56] “Derivatives for multivalued mappings with applications to game-theoretical problems of control”, Problems Control Inform. Theory, 14:3 (1985), 155–167 (with Kh.G. Guseinovym, V.N. Ushakovym) | MR

[57] “Sopryazhennye proizvodnye funktsii tseny differentsialnoi igry”, Dokl. AN SSSR, 283:3 (1985), 559–564 (with A.M. Tarasevym) | MR

[58] “Stochastic and deterministic control. Differential inequalities”, Problems Control Inform. Theory, 14:6 (1985), 405–419 (with N.N. Subbotinoi, V.E. Tretyakovym) | MR

[59] Proizvodnye stabilnykh mostov v differentsialnoi igre sblizheniya, Dep. v VINITI No840-85, Sverdlovsk, 1985 (with Kh.G. Guseinovym, V.N. Ushakovym), 62 pp.

[60] “Proizvodnye po napravleniyam funktsii optimalnogo rezultata”, Problemy analit. mekhaniki i upr. dvizheniem, Nauka, M., 1985, 131–136 (with N.N. Subbotinoi)

[61] “Usloviya optimalnosti garantirovannogo rezultata v igrovykh zadachakh upravleniya”, Tr. MIAN, 167 (1985), 261–274 | Zbl

[62] “Stochastic and deterministic control. Differential inequalities”, Stochastic Optimization, Lect. Notes in Control and Inform. Sci., 81, Springer-Verlag, Berlin etc., 1986, 728–737 (with N.N. Subbotinoi, V.E. Tretyakovym) | DOI | MR

[63] “Stability properties of the value function of a differential game and viscosity solutions of Hamilton-Jacobi equations”, Problems Control Inform. Theory, 15:6 (1986), 451–463 (with A.M. Tarasevym) | MR

[64] Ob odnoi igrovoi zadache sblizheniya dlya dvukh slabo upravlyaemykh ob'ektov, Dep. v VINITI No8976–V86, Sverdlovsk, 1986 (with I. Rozyevym, A.M. Tarasevym), 25 pp.

[65] “K voprosu obosnovaniya metoda dinamicheskogo programmirovaniya v teorii differentsialnykh igr”, Differents. uravneniya i primeneniya, tr. 3 konf. (Russe), no. 1, Russe, 1987, 409–412 (with A.M. Tarasevym, V.N. Ushakovym)

[66] “Vychislenie tseny differentsialnoi igry sblizheniya prostykh dvizhenii na ogranichennom promezhutke vremeni”, Upr. s garant. rezultatom, IMM UNTs AN CCCR, Sverdlovsk, 1987, 71–76

[67] Game-theoretical control problems, Springer-Verlag, New York etc., 1988 (with N.N. Krasovskim), 517 pp. | MR

[68] “Polunepreryvnye resheniya uravnenii Gamiltona - Yakobi”, Prikl. matematika i mekhanika, 52:2 (1988), 179–185 (with I. Rozyevym) | MR

[69] “Approksimatsiya garantirovannogo rezultata v igrovykh zadachakh upravleniya”, Pozitsionnoe upr. s garant. rezultatom, IMM UrO AN SSSR, Sverdlovsk, 1988, 92–100

[70] “Kusochno-lineinaya funktsiya tseny differentsialnoi igry s prostymi dvizheniyami”, Tr. MIAN, 185 (1988), 242–251 | Zbl

[71] Minimaksnye resheniya uravnenii vida $\partial\varphi/\partial t +H(t,x,\varphi, D_x\varphi)= 0$, Dep. v VINITI No7651–B89, Sverdlovsk, 1989 (with R.A. Adiatullinoi), 32 pp.

[72] Kusochno-lineinye funktsii, ispolzuemye dlya postroeniya reshenii uravneniya Gamiltona - Yakobi, Dep. v VINITI No5627–B90, Sverdlovsk, 1990 (with L.G. Shagalovoi), 66 pp.

[73] “Existence and uniqueness results for Hamilton-Jacobi equations”, Nonlinear Analysis, 16:7-8 (1991), 683–699 | DOI | MR | Zbl

[74] Minimaksnye neravenstva i uravneniya Gamiltona - Yakobi, Nauka, M., 1991, 216 pp. | MR

[75] “Positional differential games: Theory, Applications, Related Topics”, Intern. Conf. on Game Theory (Florence, June 1991), Abstr. Firenze, 1991, 15 (with A.F. Kleimenovym)

[76] “Ob odnom svoistve subdifferentsiala”, Mat. sb., 182:9 (1991), 1315–1330 | Zbl

[77] “O razryvnykh resheniyakh uravneniya Gamiltona - Yakobi”, Differents. uravneniya, 28:4 (1992), 727–729 (with I. Rozyevym) | MR

[78] “Nepreryvnye i razryvnye resheniya kraevykh zadach dlya uravnenii s chastnymi proizvodnymi pervogo poryadka”, Dokl. RAN, 323:1 (1992), 30–34 | Zbl

[79] “Kusochno-lineinye funktsii, opredelyaemye strukturnymi matritsami”, Probl. upr. s garant. rezultatom, IMM UrO RAN, Ekaterinburg, 1992, 73–87 (with L.G. Shagalovoi)

[80] “Monotonnye otnositelno predporyadka traektorii differentsialnykh vklyuchenii”, Tr. In-ta matematiki i mekhaniki UrO RAN, 1 (1992), 138–146

[81] “Minimaksnye resheniya uravnenii vida $\partial\varphi/\partial t +H(t,x,\varphi, D_x\varphi)= 0$”, Differents. uravneniya, 28:5 (1992), 799–806 (with R.A. Adiatullinoi) | MR

[82] “Kusochno-lineinoe reshenie zadachi Koshi dlya uravneniya Gamiltona - Yakobi”, Dokl. RAN, 325:5 (1992), 932–936 (with L.G. Shagalovoi)

[83] “Discontinuous solutions of a Dirichlet-type boundary value problem for the first-order partial differential equation”, Russian J. Numer. Anal. Math. Modelling, 8:2 (1993), 145–164 | MR | Zbl

[84] “A theory of generalized solutions to first-order PDEs with an emphasis on differential games”, Adv. in Nonlinear Dynamics and Control: A Report from Russia, Progress in Systems Control Theory, 17, Birkhauser, Boston etc., 1993, 189–229 | MR

[85] Generalized characteristics of first-order partial differential equations, NoCRM–1848, Rapp. Montreal Univ., Montreal, 1993, 43 pp.

[86] “Kusochno-gladkie resheniya uravnenii s chastnymi proizvodnymi pervogo poryadka”, Dokl. RAN, 333:6 (1993), 705–707 (with N.N. Subbotinoi)

[87] “Obobschennye kharakteristiki uravnenii Gamiltona - Yakobi”, Izv. RAN. Tekhnicheskaya kibernetika, 1 (1993), 190–197 (with A.M. Tarasevym, V.N. Ushakovym)

[88] “Strategiya minimaksnogo pritselivaniya v napravlenii kvazigradienta”, Prikl. matematika i mekhanika, 58:4 (1994), 5–11 (with G.G. Garnyshevoi) | MR

[89] Universal feedback via proximal aiming in problems of control and differential games, NoCRM–2386, Rapp. Montreal Univ., Montreal, 1994 (with F.Kh. Klarkom, Yu.S. Ledyaevym), 22 pp.

[90] “Negladkie i razryvnye resheniya uravnenii s chastnymi proizvodnymi pervogo poryadka”, Izv. RAN. Tekhnicheskaya kibernetika, 3 (1994), 163–172 (with N.N. Subbotinoi)

[91] Generalized solutions of first-order PDEs. The dynamical optimization perspective, Systems Control: Foundations Appl., Birkhauser, Boston, 1995, 312 pp. | MR

[92] “Suboptimalnye universalnye strategii v igrovoi zadache bystrodeistviya”, Prikl. matematika i mekhanika, 59:5 (1995), 707–713 (with G.G. Garnyshevoi) | MR

[93] “Generalized solutions of partial differential equations of the first order. The invariance of graphs relative to differential inclusions”, J. Math. Sci., 78:5 (1996), 594–611 | DOI | MR | Zbl

[94] “Minimaksnye resheniya uravnenii s chastnymi proizvodnymi pervogo poryadka”, Uspekhi mat. nauk, 51:2 (1996), 105–138 | DOI | MR | Zbl

[95] “M-resheniya uravnenii s chastnymi proizvodnymi pervogo poryadka i ikh primenenie v differentsialnoi igre presledovaniya”, Vek Radio, cb. nauch. tr., Izd-vo UrO RAN, Ekaterinburg, 1996, 202–218

[96] “Iteratsionnaya protsedura postroeniya minimaksnykh i vyazkostnykh reshenii uravnenii Gamiltona–Yakobi”, Dokl. RAN, 348:6 (1996), 736–739 (with A.G. Chentsovym) | MR

[97] “Asymptotic controllability and feedback stabilization”, Proc. Conf. on Inform. Sci. and Systems, Princeton, 1996, 1232–1237 (with F.Kh. Klarkom, Yu.S. Ledyaevym, E.D. Sontagom)

[98] “The synthesis of universal feedback pursuit strategies in differential games”, SIAM J. Control Optim, 35:2 (1997), 552–561 (with F.Kh. Klarkom, Yu.S. Ledyaevym) | DOI | MR

[99] “Asymptotic controllability implies feedback stabilization”, IEEE Trans. Automat. Control, 42:10 (1997), 1394–1407 (with F.Kh. Klarkom, Yu.S. Ledyaevym, E.D. Sontagom) | DOI | MR

[100] “Mnogoznachnye resheniya differentsialnykh uravnenii s chastnymi proizvodnymi pervogo poryadka”, Mat. cb., 189:6 (1998), 33–58 (with A.S. Lakhtinym)

[101] “Minimaksnye i vyazkostnye resheniya razryvnykh uravnenii s chastnymi proizvodnymi pervogo poryadka”, Dokl. RAN, 359:4 (1998), 452–455 (with A.S. Lakhtinym) | MR

[102] Obobschennye resheniya razryvnykh uravnenii s chastnymi proizvodnymi pervogo poryadka, Dep. v VINITI No267-B98, no. 267, Ekaterinburg, 1998 (with A.S. Lakhtinym), 18 pp.

[103] “Constructive theory of positional differential games and generalized solutions to Hamilton-Jacobi equations”, Stochastic and Differential Games: Theory and Numer. Methods, Annals of the International Society of Dynamic Games, 4, Birkhauser, Boston etc., 1999, 3–67 | MR

[104] “Iteratsionnaya protsedura postroeniya minimaksnykh i vyazkostnykh reshenii uravnenii Gamiltona–Yakobi i ee obobscheniya”, Tr. MIAN, 224 (1999), 311–334 (with A.G. Chentsovym)

[105] “Minimaksnye resheniya uravnenii Gamiltona - Yakobi”, Itogi nauki i tekhniki. Ser. Sovrem. matematika i ee pril. Temat. obzory., 64, VINITI, M., 1999, 222–231 | Zbl

[106] Obobschennye resheniya uravnenii v chastnykh proizvodnykh pervogo poryadka. Perspektivy dinamicheskoi optimizatsii, Per. s angl. N.N. Subbotinoi, In-t kompyuternykh issledovanii, M.; Izhevsk, 2003, 336 pp.

[107] “Oblasti superdostizhimosti”, Izv. Ural. gos. un-ta, 2005, no. 34, 14–31