Subbotina N. N., Subbotin A. I., Tret'jakov V. E. Stochastic and deterministic // Control. Differential Inequalities. Lect. Notes Control and Inform. Sciences, V. 81: Stochastic Optimization, Arkin V. I., Shiryaev A. N., Wets R. Eds., Berlin–New York: Springer-Verlag, 1986, 728–736.
Subbotina N. N. Singular Approximations of Minimax and Viscosity Solutions to Hamilton–Jacobi Equations // Proc. Steklov Institute of Math. Suppl. 1., 2000, Proc. Institute Math. Mech., Ural Branch, Russian Acad. Sci., Control in Dynamic Systems, MAIK "Nauka/Interperiodica" Publishing, S210–S227.
Nina N. Subbotina, “On control reconstructions to management problems”, Contributions to Game Theory and Management, 13 (2020), 402–414
2.
N. G. Novoselova, N. N. Subbotina, “Construction of the viability set in a problem of chemotherapy of a malignant tumor growing according to the Gompertz law”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:1 (2020), 173–181
2019
3.
N. N. Subbotina, N. G. Novoselova, “On Applications of the Hamilton–Jacobi Equations and Optimal Control Theory to Problems of Chemotherapy of Malignant Tumors”, Tr. Mat. Inst. Steklova, 304 (2019), 273–284; Proc. Steklov Inst. Math., 304 (2019), 257–267
2017
4.
N. N. Subbotina, N. G. Novoselova, “Optimal result in a control problem with piecewise monotone dynamics”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:4 (2017), 265–280
2016
5.
N. N. Subbotina, E. A. Krupennikov, “The method of characteristics in an identification problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016), 255–266; Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 205–216
2015
6.
N. N. Subbotina, L. G. Shagalova, “The construction of a continuous generalized solution for the Hamilton–Jacobi equations with state constraints”, Izv. IMI UdGU, 2015, 2(46), 193–201
7.
N. N. Subbotina, L. G. Shagalova, “On the continuous extension of a generalized solution of the Hamilton-Jacobi equation by characteristics that form a central field of extremals”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:2 (2015), 220–235; Proc. Steklov Inst. Math. (Suppl.), 293, suppl. 1 (2016), 183–198
8.
N. N. Subbotina, T. B. Tokmantsev, E. A. Krupennikov, “On the solution of inverse problems of dynamics of linearly controlled systems by the negative discrepancy method”, Tr. Mat. Inst. Steklova, 291 (2015), 266–275; Proc. Steklov Inst. Math., 291 (2015), 253–262
2014
9.
N. N. Subbotina, L. G. Shagalova, “Construction of a continuous minimax/viscosity solution of the Hamilton–Jacobi–Bellman equation with nonextendable characteristics”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:4 (2014), 247–257
10.
N. N. Subbotina, T. B. Tokmantsev, “A study of the stability of solutions to inverse problems of dynamics of control systems under perturbations of initial data”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:3 (2014), 218–233; Proc. Steklov Inst. Math. (Suppl.), 291, suppl. 1 (2015), 173–189
2012
11.
N. N. Subbotina, L. G. Shagalova, “On constructions of the generalized solution of the Hamilton–Jacobi equation in bounded domains”, Izv. IMI UdGU, 2012, 1(39), 126–127
12.
N. N. Subbotina, L. G. Shagalova, “Construction of a generalized solution to an equation that preserves the Bellman type in a given domain of the state space”, Tr. Mat. Inst. Steklova, 277 (2012), 243–256; Proc. Steklov Inst. Math., 277 (2012), 234–247
2011
13.
N. N. Subbotina, E. A. Kolpakova, “Method of characteristics for optimal control problems and conservation laws”, CMFD, 42 (2011), 204–210; Journal of Mathematical Sciences, 199:5 (2014), 588–595
14.
N. N. Subbotina, L. G. Shagalova, “On a solution to the Cauchy problem for the Hamilton–Jacobi equation with state constraints”, Trudy Inst. Mat. i Mekh. UrO RAN, 17:2 (2011), 191–208
2010
15.
Nina N. Subbotina, Timofei B. Tokmantsev, “The Method of Characteristics in Macroeconomic Modeling”, Contributions to Game Theory and Management, 3 (2010), 399–408
16.
N. N. Subbotina, T. B. Tokmantsev, “Classical characteristics of the Bellman equation in constructions of grid optimal synthesis”, Tr. Mat. Inst. Steklova, 271 (2010), 259–277; Proc. Steklov Inst. Math., 271 (2010), 246–264
2009
17.
N. N. Subbotina, T. B. Tokmantsev, “Estimating error of the optimal grid design in the problems of nonlinear optimal control of prescribed duration”, Avtomat. i Telemekh., 2009, 9, 141–156; Autom. Remote Control, 70:9 (2009), 1565–1578
18.
N. N. Subbotina, E. A. Kolpakova, “On the structure of locally Lipschitz minimax solutions of the Hamilton–Jacobi–Bellman equation in terms of classical characteristics”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:3 (2009), 202–218; Proc. Steklov Inst. Math. (Suppl.), 268, suppl. 1 (2010), S222–S239
2008
19.
N. N. Subbotina, T. B. Tokmantsev, “Optimal Synthesis in a Control Problem with Lipschitz Input Data”, Tr. Mat. Inst. Steklova, 262 (2008), 240–252; Proc. Steklov Inst. Math., 262 (2008), 231–243
20.
N. N. Subbotina, L. G. Shagalova, “On the structure of the solution of the Hamilton-Jacobi equation with piecewise linear input data”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, 2, 144–147
2007
21.
E. A. Kolpakova, N. N. Subbotina, “Defining the asymptotics for one class of singularly perturbed problems of vibrational mechanics”, Avtomat. i Telemekh., 2007, 11, 150–163; Autom. Remote Control, 68:11 (2007), 2029–2041
2006
22.
N. N. Subbotina, T. B. Tokmantsev, “The method of generalized characteristics in an optimal control problem with Lipschitz inputs”, Izv. IMI UdGU, 2006, 3(37), 141–142
23.
N. N. Subbotina, T. B. Tokmantsev, “A numerical method for the minimax solution of the Bellman equation in the Cauchy problem with additional restrictions”, Trudy Inst. Mat. i Mekh. UrO RAN, 12:1 (2006), 208–215; Proc. Steklov Inst. Math. (Suppl.), 253, suppl. 1 (2006), S221–S228
2004
24.
N. N. Subbotina, “Adjoint variables to optimal control problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 10:2 (2004), 131–141; Proc. Steklov Inst. Math. (Suppl.), 2004no. , suppl. 2, S142–S153
2000
25.
N. N. Subbotina, “Singular approximations of minimax and viscosity solutions to Hamilton–Jacobi equations”, Trudy Inst. Mat. i Mekh. UrO RAN, 6:1 (2000), 190–208; Proc. Steklov Inst. Math. (Suppl.), 2000no. , suppl. 1, S210–S227
1993
26.
A. I. Subbotin, N. N. Subbotina, “Piecewise-smooth solutions of first-order partial differential
equations”, Dokl. Akad. Nauk, 333:6 (1993), 705–707; Dokl. Math., 48:3 (1994), 650–654
1992
27.
N. N. Subbotina, “Unified optimality conditions in control problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 1 (1992), 147–159
1991
28.
N. N. Subbotina, “The method of Cauchy characteristics and generalized solutions of the Hamilton–Jacobi–Bellman equation”, Dokl. Akad. Nauk SSSR, 320:3 (1991), 556–561; Dokl. Math., 44:2 (1992), 501–506
1983
29.
N. N. Subbotina, “Universal optimal strategies in positional differential games”, Differ. Uravn., 19:11 (1983), 1890–1896
1982
30.
A. I. Subbotin, N. N. Subbotina, “The optimum result function in a control problem”, Dokl. Akad. Nauk SSSR, 266:2 (1982), 294–299
1978
31.
A. I. Subbotin, N. N. Subbotina, “Necessary and sufficient conditions for a piecewise smooth value of a differential game”, Dokl. Akad. Nauk SSSR, 243:4 (1978), 862–865
2014
32.
V. I. Berdyshev, V. V. Vasin, S. V. Matveev, A. A. Makhnev, Yu. N. Subbotin, N. N. Subbotina, V. N. Ushakov, M. Yu. Khachai, A. G. Chentsov, “Ivan Ivanovich Eremin”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:2 (2014), 5–12; Proc. Steklov Inst. Math. (Suppl.), 289, suppl. 1 (2015), 1–8
2010
33.
N. N. Subbotina, A. I. Korotkii, “Actual problems of stability and control theory (APSCT'2009)”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:5 (2010), 3–7
Presentations in Math-Net.Ru
1.
Adjoint variables in dynamic reconstruction problems N. N. Subbotina, T. B. Tokmantsev International conference "Systems Analysis: Modeling and Control" in memory of Academician A. V. Kryazhimskiy June 1, 2018 14:30
The method of characteristics to identification problems N. N. Subbotina International conference "Dynamical Systems: Inverse Problems, Stability and Control Processes" dedicated to the 80th birthday of Yu. S. Osipov September 22, 2016 17:20
4.
Optimal synthesis in dynamic problems N. N. Subbotina Conference "Optimal Control and Applications" dedicated to the 105th anniversary of Lev Semenovich Pontryagin September 24, 2013 13:10