S. M. Aseev, A. V. Kryazhimskii, “The Pontryagin Maximum Principle and Optimal Economic Growth Problems”, Proc. Steklov Inst. Math., 257 (2007), 1–255
A. V. Arutyunov, S. M. Aseev, “Investigation of the degeneracy phenomenon of the maximum principle for optimal control problems with state constraints”, SIAM J. Control Optim., 35:3 (1997), 930–952
S. M. Aseev, “A method of smooth approximation in the theory of necessary optimality conditions for differential inclusions”, Izv. Math., 61:2 (1997), 235–258
S. M. Aseev, “Kvazilineinye operatory i ikh primenenie v teorii mnogoznachnykh otobrazhenii”, Sovremennye problemy matematiki. Matematicheskii analiz, algebra, topologiya, Sbornik statei. Posvyaschaetsya akademiku Lvu Semenovichu Pontryaginu k ego semidesyatipyatiletiyu, Tr. MIAN SSSR, 167, Nauka, Moskva, 1985, 25–52; S. M. Aseev, “Quasilinear operators and their application in the theory of multivalued mappings”, Proc. Steklov Inst. Math., 167 (1986), 23–52
S. M. Aseev, “Priblizhenie polunepreryvnykh mnogoznachnykh otobrazhenii nepreryvnymi”, Izv. AN SSSR. Ser. matem., 46:3 (1982), 460–476; S. M. Aseev, “Approximation of semicontinuous multivalued mappings by continuous ones”, Math. USSR-Izv., 20:3 (1983), 435–448
S. M. Aseev, “Optimization of dynamics of a control system in the presence of risk factors”, Trudy Inst. Mat. i Mekh. UrO RAN, 23, no. 1, 2017, 27–42
2.
S. M. Aseev, V. M. Veliov, Another view of the maximum principle for infinite-horizon optimal control problems in economics, Research Report 2017-05, ORCOS, Vienna University of Technology, Vienna, Austria, 2017 , 42 pp. http://orcos.tuwien.ac.at/fileadmin/t/orcos/Research_Reports/2017-05.pdf
S. M. Aseev, “Suschestvovanie optimalnogo upravleniya v zadachakh na beskonechnom intervale vremeni s neogranichennym mnozhestvom ogranichenii na upravleniya”, Tr. IMM UrO RAN, 22, no. 2, no. 2, 2016, 18–27; S. M. Aseev, “Existence of an optimal control in infinite-horizon problems with unbounded set of control constraints”, Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 1–10
5.
S. Aseev, K. Besov, S. Kaniovski, The optimal use of exhaustible resources under nonconstant returns to scale, WIFO Working Paper, No. 525, Austrian Institute of Economic Research (WIFO), Vienna, 2016 , 48 pp. http://www.wifo.ac.at/wwa/pubid/59048
6.
S. M. Aseev, “The unified maximum principle for optimal economic growth problems”, VIII Moskovskaya mezhdunarodnaya konferentsiya po issledovaniyu operatsii (ORM2016). Trudy. (Moskva, 17–22 oktyabrya 2016 g.), v. 1, eds. A. A. Vasin, A. F. Izmailov, OOO “MAKS Press”, Moskva, 2016, 86–89
7.
S. Aseev, T. Manzoor, Optimal growth, renewable resources and sustainability, http://pure.iiasa.ac.at/14028, International Institute for Applied Systems Analysis (IIASA), Laxenburg, Austria, 2016 , 29 pp., WP-16-017
8.
Sergei M. Aseev, Alexander G. Chentsov, Alexey A. Davydov, Nikolai L. Grigorenko, Vyacheslav I. Maksimov, Elena A. Rovenskaya, Alexander M. Tarasiev, “In memory of Arkady Viktorovich Kryazhimskiy (1949-2014)”, Ural Math. J., 2:2 (2016), 3, 3–15 , 15 pp.
2015
9.
S. M. Aseev, “Adjoint variables and intertemporal prices in infinite-horizon optimal control problems”, Proc. Steklov Inst. Math., 290 (2015), 223–237 (cited: 1) (cited: 1) (cited: 1)
10.
S. M. Aseev, “On the Boundedness of Optimal Controls in Infinite-Horizon Problems”, Proc. Steklov Inst. Math., 291 (2015), 38–48
11.
S. M. Aseev, S. P. Samsonov, “O primenenii teorii optimalnogo upravleniya k zadacham optimizatsii ekonomicheskogo rosta”, Mezhdunarodnaya konferentsiya po matematicheskoi teorii upravleniya i mekhanike. Tezisy dokladov (Suzdal, 2–7iyulya 2015 g.), MIAN, Moskva, 2015, 25–26
12.
S. M. Aseev, V. M. Buchstaber, R. I. Grigorchuk, V. Z. Grines, B. M. Gurevich, A. A. Davydov, A. Yu. Zhirov, E. V. Zhuzhoma, M. I. Zelikin, A. B. Katok, A. V. Klimenko, V. V. Kozlov, V. P. Leksin, M. I. Monastyrskii, A. I. Neishtadt, S. P. Novikov, E. A. Sataev, Ya. G. Sinai, A. M. Stepin, “Dmitrii Viktorovich Anosov (obituary)”, Russian Math. Surveys, 70:2 (2015), 369–381
13.
Optimalnoe upravlenie, Sbornik statei. K 105-letiyu so dnya rozhdeniya akademika Lva Semenovicha Pontryagina, Tr. MIAN, 291, ed. S. M. Aseev, A. G. Sergeev, MAIK, M., 2015 , 311 pp.
2014
14.
S. M. Aseev, V. M. Veliov, “Needle variations in infinite-horizon optimal control”, Variational and Optimal Control Problems on Unbounded Domains, Contemporary Mathematics, 619, eds. G. Wolansky, A. J. Zaslavski, Amer. Math. Soc., Providence, RI, 2014, 1–17http://orcos.tuwien.ac.at/fileadmin/t/orcos/Research_Reports/2012-04_Ase-VV_rev.pdf (cited: 5)
15.
S. M. Aseev, V. M. Veliov, “Maximum principle for infinite-horizon optimal control problems under weak regularity assumptions”, Tr. IMM UrO RAN, 20, no. 3, 2014, 41–57http://orcos.tuwien.ac.at/fileadmin/t/orcos/Research_Reports/2014-06.pdf (cited: 4) (cited: 4) (cited: 4); Proc. Steklov Inst. Math. (Suppl.), 291, suppl. 1 (2015), 22–39 (cited: 1)
16.
S. M. Aseev, V. M. Veliov, “Maximum principle for infinite-horizon optimal control problems under weak regularity assumptions”, Dinamika sistem i protsessy upravleniya, Tezisy dokladov Mezhdunarodnoi konferentsii, posvyaschennoi 90-letiyu so dnya rozhdeniya akad. N.N. Krasovskogo (Ekaterinburg, Rossiya, 15–20 sentyabrya 2014 g.), IMM UrO RAN, UrFU, Ekaterinburg, 2014, 226–228http://conf.uran.ru/sdcp2014/_main_no_mail.pdf
17.
T. Manzoor, S. Aseev, E. Rovenskaya, A. Muhammad, “Optimal control for sustainable consumption of natural resources”, Proceedings of the 19th IFAC World Congress (Capetown, South Africa, 24–29 August 2014), IFAC Proceedings Volumes (IFAC-PapersOnline), 47, no. 3, eds. E. Boje, X. Xia, Elsevier, 2014, 10725–10730 (cited: 1)
2013
18.
S. Aseev, K. Besov, S. Kaniovski, “The problem of optimal endogenous growth with exhaustible resources revisited”, Green growth and sustainable development, Dyn. Model. Econom. Econ. Finance, 14, eds. J. Crespo Cuaresma, T. Palokangas, A. Tarasyev, Springer, Heidelberg, 2013, 3–30 (cited: 3)
19.
S. M. Aseev, V. M. Velov, “Printsip maksimuma Pontryagina pri oslablennykh usloviyakh na skhodimost integralnogo funktsionala”, Mezhdunarodnaya konferentsiya po matematicheskoi teorii upravleniya i mekhanike, Tezisy dokladov (Suzdal, 05–09 iyulya 2013 g.), MIAN, Moskva, 2013, 25–27
20.
S.M. Aseev, “O nekotorykh svoistvakh sopryazhennoi peremennoi v sootnosheniyakh printsipa maksimuma Pontryagina dlya zadach optimalnogo ekonomicheskogo rosta”, Tr. IMM UrO RAN, 19, no. 4, 2013, 15–24 (cited: 1) (cited: 2) (cited: 1); S. M. Aseev, “On some properties of the adjoint variable in the relations of the Pontryagin maximum principle for optimal economic growth problems”, Proc. Steklov Inst. Math. (Suppl.), 287, suppl. 1 (2014), 11–21 (cited: 2) (cited: 1) (cited: 2)
21.
A. A. Agrachëv, D. V. Anosov, S. M. Aseev, V. M. Buchstaber, A. M. Vershik, Ya. B. Vorobets, V. A. Kaimanovich, B. S. Kashin, I. G. Lysënok, A. Yu. Ol'shanskii, V. N. Remeslennikov, Ya. G. Sinai, S. K. Smirnov, A. M. Stepin, I. A. Taimanov, E. V. Shchepin, “Rostislav Ivanovich Grigorchuk (on his sixtieth birthday)”, Russian Math. Surveys, 68:5 (2013), 967–971
2012
22.
S. M. Aseev, K. O. Besov, A. V. Kryazhimskiy, “Infinite-horizon optimal control problems in economics”, Russian Math. Surveys, 67:2 (2012), 195–253 (cited: 16) (cited: 10) (cited: 10) (cited: 13)
23.
S. M. Aseev, V. M. Veliov, “Necessary optimality conditions for improper infinite-horizon control problems”, Operations Research Proceedings 2011, Selected Papers of the International Conference on Operations Research (OR 2011) (August 30–September 2, 2011, Zurich, Switzerland), Operations Research Proceedings, eds. Diethard Klatte, Hans-Jakob Luthi, Karl Schmedders, Springer, Berlin–Heidelberg, 2012, 21–26 (cited: 1)
24.
S. M. Aseev, V. M. Velov, “Printsip maksimuma Pontryagina dlya «obgonyayuschego» optimalnogo upravleniya”, Differentsialnye uravneniya i optimalnoe upravlenie, Tez. dokl. konf., posv. 90-letiyu so dnya rozhdeniya E. F. Mischenko (Moskva, 16–17 aprelya 2012 g.), MIAN, Moskva, 2012, 17–19http://mishchenko90.mi.ras.ru/abstr_book_double.pdf
25.
S. M. Aseev, V. M. Veliov, “Maximum principle for infinite-horizon optimal control problems with dominating discount”, DCDIS: Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications & Algorithms, 19:1–2 (2012), 43–63http://orcos.tuwien.ac.at/fileadmin/t/orcos/Research_Reports/2011-06.pdf (cited: 27)
26.
D. V. Anosov, S. M. Aseev, R. V. Gamkrelidze, S. P. Konovalov, M. S. Nikol'skii, N. Kh. Rozov, “Evgenii Frolovich Mishchenko (on the 90th anniversary of his birth)”, Russian Math. Surveys, 67:2 (2012), 385–402
27.
Differentsialnye uravneniya i dinamicheskie sistemy, Sbornik statei, Tr. MIAN, 278, ed. S. M. Aseev, A. G. Sergeev, MAIK, M., 2012 , 287 pp.
2011
28.
Sergey Aseev, Konstantin Besov, Simon-Erik Ollus, Tapio Palokangas, “Optimal growth in a two-sector economy facing an expected random shock”, Tr. IMM UrO RAN, 17, no. 2, 2011, 271–299 (cited: 2) (cited: 2); S. Aseev, K. Besov, S.-E. Ollus, T. Palokangas, “Optimal growth in a two-sector economy facing an expected random shock”, Proc. Steklov Inst. Math., 276, Suppl. 1 (2012), S4–S34 (cited: 2)
2010
29.
S. Aseev, K. Besov, S. Kaniovski, Optimal endogenous growth with exhaustible resources, Interim Report IR-10-011, IIASA, Laxenburg (Austria), 2010 , 33 pp.
30.
S. Aseev, K. Besov, S.-E. Ollus, T. Palokangas, “Optimal Economic Growth with a Random Environmental Shock”, Dynamic Systems, Economic Growth, and the Environment, Dynamic Modeling and Econometrics in Economics and Finance, 12, Springer, Berlin, 2010, 109–137 (cited: 3)
31.
Yu. S. Osipov, V. V. Kozlov, L. D. Faddeev, D. V. Anosov, V. S. Vladimirov, R. V. Gamkrelidze, A. A. Gonchar, N. N. Krasovskii, A. V. Kryazhimskii, A. B. Kurzhanskii, S. P. Novikov, S. M. Aseev, A. B. Zhizhchenko, D. V. Treschev, A. A. Agrachev, E. A. Volkov, N. L. Grigorenko, A. A. Davydov, M. I. Zelikin, A. Yu. Kolesov, A. A. Mal'tsev, M. S. Nikol'skii, N. Kh. Rozov, A. G. Sergeev, K. O. Besov, S. P. Konovalov, “In memory of Evgenii Frolovich Mishchenko”, Proc. Steklov Inst. Math., 271 (2010), 1–2
2009
32.
S. M. Aseev, Infinite-horizon optimal control with applications in growth theory, MAKS Press, Moscow, 2009 , 148 pp. pdf
2008
33.
S. M. Aseev, A. V. Kryazhimskiy, “Shadow prices in infinite-horizon optimal control problems with dominating discounts”, Appl. Math. Comput., 204:2 (2008), 519–531 (cited: 2) (cited: 2) (cited: 3)
34.
S. M. Aseev, A. V. Kryazhimskii, “On a Class of Optimal Control Problems Arising in Mathematical Economics”, Proc. Steklov Inst. Math., 262 (2008), 10–25 (cited: 5) (cited: 7) (cited: 7) (cited: 7)
35.
Optimalnoe upravlenie, Sbornik statei. K 60-letiyu so dnya rozhdeniya professora Viktora Ivanovicha Blagodatskikh, Tr. MIAN, 262, ed. S. M. Aseev, E. F. Mischenko, MAIK, M., 2008 , 272 pp.
2007
36.
S. M. Aseev, A. V. Kryazhimskii, “The Pontryagin Maximum Principle and Optimal Economic Growth Problems”, Proc. Steklov Inst. Math., 257 (2007), 1–255 (cited: 42) (cited: 45)
2005
37.
Aseev Sergei, Hutschenreiter Gernot, Kryazhimskiy Arkady, Lysenko Andrey, “A dynamic model of optimal investment in research and development with international knowledge spillovers”, Math. Comput. Model. Dyn. Syst., 11:2 (2005), 125–133 (cited: 1) (cited: 2)
2004
38.
S. M. Aseev, A. I. Smirnov, “The Pontryagin maximum principle for the problem of optimally crossing a given domain”, Dokl. Math., 69:2 (2004), 243–245 (cited: 1)
39.
S. M. Aseev, A. V. Kryazhimskii, “The Pontryagin maximum principle for an optimal control problem with a functional specified by an improper integral”, Dokl. Math., 69:1 (2004), 89–91 (cited: 6) (cited: 4)
40.
S. M. Aseev, A. I. Smirnov, “Neobkhodimye usloviya optimalnosti pervogo poryadka dlya zadachi optimalnogo prokhozhdeniya cherez zadannuyu oblast”, Nelineinaya dinamika i upravlenie, 4, Cb. statei, Fizmatlit, M., 2004, 179–204; S. M. Aseev, A. I. Smirnov, “Necessary first-order conditions for optimal crossing of a given region”, Comput. Math. Model., 18:4 (2007), 397–419
41.
S. M. Aseev, A. V. Kryazhimskiy, “The Pontryagin maximum principle and transversality conditions for a class of optimal control problems with infinite time horizons”, SIAM J. Control Optim., 43:3 (2004), 1094–1119 (cited: 24) (cited: 39)
42.
S. M. Aseev, M. Katsumoto, A Dynamic Model of Stochastic Innovation Race: Leader-Follower Case, Interim Report IR-04-035, IIASA, Laxenburg (Austria), 2004 , 24 pp.
43.
S. M. Aseev, Problems of Dynamic Optimization under Risky Factors, Working Paper No. 42, Free University of Bolzano, Bolzano, Italy, 2004 , x pp.
2003
44.
S. M. Aseev, G. Khutchenreiter, A. V. Kryazhimskii, “Dinamicheskaya model optimalnogo investirovaniya v issledovaniya i razrabotki”, Sovrem. matem. i ee pril., 2003, no. 9, 3–43 (cited: 1); S. M. Aseev, G. Khutchenreĭter, A. V. Kryazhimskiĭ, “A dynamic model of optimal investment in research and development”, J. Math. Sci. (N. Y.), 126:6 (2005), 1495–1535
45.
S. M. Aseev, A. V. Kryazhimskii, The Pontryagin Maximum Principle for Infinite-Horizon Optimal Controls, IIASA Interim Report IR-03-013, IIAsa, Laxenburg (Austria), 2003 , 34 pp.
2001
46.
S. M. Aseev, A. V. Kryazhimskii, A. M. Tarasyev, “The Pontryagin Maximum Principle and Transversality Conditions for an Optimal Control Problem with Infinite Time Interval”, Proc. Steklov Inst. Math., 233 (2001), 64–80
47.
S. M. Aseev, “Extremal Problems for Differential Inclusions with State Constraints”, Proc. Steklov Inst. Math., 233 (2001), 1–63
48.
S. M. Aseev, A. V. Kryazhimskii, A. M. Tarasyev, “The Pontryagin maximum principle and transversality conditions for a class of optimal economic growth problems”, Preprints of the 5th IFAC Symposium on Nonlinear Control Systems (4-6 July 2001, St.-Petersburg, Russia), St.-Petersburg, 2001, 64–68
1999
49.
S. M. Aseev, “Methods of regularization in nonsmooth problems of dynamic optimization”, J. Math. Sci. (N. Y.), 94:3 (1999), 1366–1393 (cited: 4) (cited: 8)
50.
S. M. Aseev, “Zadacha optimalnogo upravleniya dlya differentsialnogo vklyucheniya s fazovym ogranicheniem. Gladkie approksimatsii i neobkhodimye usloviya optimalnosti”, Trudy mezhdunarodnoi konferentsii, posvyaschennoi 90-letiyu so dnya rozhdeniya L. S. Pontryagina (Moskva, 31 avgusta – 6 sentyabrya 1998 g.). Tom 3. Geometricheskaya teoriya upravleniya, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 64, VINITI, M., 1999, 57–81 (cited: 2) (cited: 1) ; S. M. Aseev, “An optimal control problem for a differential inclusion with a phase constraint. Smooth approximations and necessary optimality conditions”, J. Math. Sci. (New York), 103:6 (2001), 670–685
1998
51.
S. M. Aseev, “On the theory of necessary conditions for optimality for problems with phase constraints”, Proc. Steklov Inst. Math., 220 (1998), 31–40
1997
52.
A. V. Arutyunov, S. M. Aseev, “Investigation of the degeneracy phenomenon of the maximum principle for optimal control problems with state constraints”, SIAM J. Control Optim., 35:3 (1997), 930–952 (cited: 26) (cited: 46) (cited: 45) (cited: 50)
53.
S. M. Aseev, “A method of smooth approximation in the theory of necessary optimality conditions for differential inclusions”, Izv. Math., 61:2 (1997), 235–258 (cited: 5) (cited: 5)
1995
54.
A. V. Arutyunov, S. M. Aseev, “State constraints in optimal control. The degeneracy phenomenon”, Systems Control Lett., 26:4 (1995), 267–273 (cited: 11) (cited: 16) (cited: 15) (cited: 18)
1994
55.
A. V. Arutyunov, S. M. Aseev, “The maximum principle in optimal control problems with phase constraints. Nondegeneracy and stability”, Russian Acad. Sci. Dokl. Math., 49:1 (1994), 38–42 (cited: 3)
1993
56.
A. V. Arutyunov, S. M. Aseev, V. I. Blagodatskikh, “Neobkhodimye usloviya pervogo poryadka v zadache optimalnogo upravleniya differentsialnym vklyucheniem s fazovymi ogranicheniyami”, Matem. sb., 184:6 (1993), 3–32 (cited: 11) (cited: 4) ; A. V. Arutyunov, S. M. Aseev, V. I. Blagodatskikh, “First-order necessary conditions in the problem of optimal control of a differential inclusion with phase constraints”, Russian Acad. Sci. Sb. Math., 79:1 (1994), 117–139 (cited: 8)
1991
57.
S. M. Aseev, “Gladkie approksimatsii differentsialnykh vklyuchenii i zadacha bystrodeistviya”, Teoriya chisel, algebra, matematicheskii analiz i ikh prilozheniya, Sb. st. Posvyaschaetsya 100-letiyu so dnya rozhdeniya Ivana Matveevicha Vinogradova, Tr. MIAN, 200, Nauka, M., 1991, 27–34 (cited: 3) (cited: 1) ; S. M. Aseev, “Smooth approximations of differential inclusions and time optimal control problem”, Proc. Steklov Inst. Math., 200 (1993), 27–34
1988
58.
S. M. Aseev, “Poverkhnostnye funktsii mnozhestv i integrirovanie mnogoznachnykh otobrazhenii”, Optimalnoe upravlenie i differentsialnye igry, Tr. MIAN SSSR, 185, Nauka, Moskva, 1988, 54–59; S. M. Aseev, “Surface set-valued functions and the integration of multivalued mappings”, Proc. Steklov Inst. Math., 185 (1990), 59–64
1987
59.
S. M. Aseev, “Approximation of semicontinuous multivalued mappings”, Differential equations and applications, I, II (Ruse, 1985), Angel Kanchev Tech. Univ., Ruse, 1987, 19–22
1985
60.
S. M. Aseev, “Kvazilineinye operatory i ikh primenenie v teorii mnogoznachnykh otobrazhenii”, Sovremennye problemy matematiki. Matematicheskii analiz, algebra, topologiya, Sbornik statei. Posvyaschaetsya akademiku Lvu Semenovichu Pontryaginu k ego semidesyatipyatiletiyu, Tr. MIAN SSSR, 167, Nauka, Moskva, 1985, 25–52 (cited: 3) ; S. M. Aseev, “Quasilinear operators and their application in the theory of multivalued mappings”, Proc. Steklov Inst. Math., 167 (1986), 23–52
1982
61.
S. M. Aseev, “Priblizhenie polunepreryvnykh mnogoznachnykh otobrazhenii nepreryvnymi”, Izv. AN SSSR. Ser. matem., 46:3 (1982), 460–476 (cited: 3) (cited: 2) ; S. M. Aseev, “Approximation of semicontinuous multivalued mappings by continuous ones”, Math. USSR-Izv., 20:3 (1983), 435–448
Optimal control, Collected papers. In commemoration of the 105th anniversary of Academician Lev Semenovich Pontryagin, Tr. Mat. Inst. Steklova, 291, ed. S. M. Aseev, A. G. Sergeev, 2015, 311 с. http://mi.mathnet.ru/book1601
Differential equations and dynamical systems, Collected papers, Tr. Mat. Inst. Steklova, 278, ed. S. M. Aseev, A. G. Sergeev, 2012, 287 с. http://mi.mathnet.ru/book1464
Optimal control, Collected papers. Dedicated to professor Viktor Ivanovich Blagodatskikh on the occation of his 60th birthday, Tr. Mat. Inst. Steklova, 262, ed. S. M. Aseev, E. F. Mishchenko, 2008, 272 с. http://mi.mathnet.ru/book275
S. M. Aseev, A. V. Kryazhimskii, The Pontryagin maximum principle and optimal economic growth problems, Tr. Mat. Inst. Steklova, 257, ed. E. F. Mishchenko, 2007, 272 с. http://mi.mathnet.ru/book270
2017
Terms of Use