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Subbotina Nina Nikolaevna

Statistics Math-Net.Ru
Total publications: 25
Scientific articles: 23
Cited articles: 15
Citations in Math-Net.Ru: 49
Presentations: 3

Number of views:
This page:1418
Abstract pages:3448
Full texts:962
References:465
Corresponding member of RAS
Professor
Doctor of physico-mathematical sciences (1976)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 02.08.1946
E-mail:
Keywords: Hamilton–Jacobi equations; minimax and/or viscosity solutions; positional differential games; differential inclusions; invariance and/or viability theory.
   
Main publications:
  • 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.

http://www.mathnet.ru/eng/person17603
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:subbotina.nina-n
http://www.ams.org/mathscinet/search/author.html?return=viewitems&mrauthid=190763

Publications in Math-Net.Ru
1. The method of characteristics in an identification problem
N. N. Subbotina, E. A. Krupennikov
Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016),  255–266
2. The construction of a continuous generalized solution for the Hamilton–Jacobi equations with state constraints
N. N. Subbotina, L. G. Shagalova
Izv. IMI UdGU, 2015, no. 2(46),  193–201
3. On the continuous extension of a generalized solution of the Hamilton-Jacobi equation by characteristics that form a central field of extremals
N. N. Subbotina, L. G. Shagalova
Trudy Inst. Mat. i Mekh. UrO RAN, 21:2 (2015),  220–235
4. On the solution of inverse problems of dynamics of linearly controlled systems by the negative discrepancy method
N. N. Subbotina, T. B. Tokmantsev, E. A. Krupennikov
Tr. Mat. Inst. Steklova, 291 (2015),  266–275
5. Construction of a continuous minimax/viscosity solution of the Hamilton–Jacobi–Bellman equation with nonextendable characteristics
N. N. Subbotina, L. G. Shagalova
Trudy Inst. Mat. i Mekh. UrO RAN, 20:4 (2014),  247–257
6. A study of the stability of solutions to inverse problems of dynamics of control systems under perturbations of initial data
N. N. Subbotina, T. B. Tokmantsev
Trudy Inst. Mat. i Mekh. UrO RAN, 20:3 (2014),  218–233
7. On constructions of the generalized solution of the Hamilton–Jacobi equation in bounded domains
N. N. Subbotina, L. G. Shagalova
Izv. IMI UdGU, 2012, no. 1(39),  126–127
8. Construction of a generalized solution to an equation that preserves the Bellman type in a given domain of the state space
N. N. Subbotina, L. G. Shagalova
Tr. Mat. Inst. Steklova, 277 (2012),  243–256
9. Method of characteristics for optimal control problems and conservation laws
N. N. Subbotina, E. A. Kolpakova
CMFD, 42 (2011),  204–210
10. On a solution to the Cauchy problem for the Hamilton–Jacobi equation with state constraints
N. N. Subbotina, L. G. Shagalova
Trudy Inst. Mat. i Mekh. UrO RAN, 17:2 (2011),  191–208
11. The Method of Characteristics in Macroeconomic Modeling
Nina N. Subbotina, Timofei B. Tokmantsev
Contributions to Game Theory and Management, 3 (2010),  399–408
12. Classical characteristics of the Bellman equation in constructions of grid optimal synthesis
N. N. Subbotina, T. B. Tokmantsev
Tr. Mat. Inst. Steklova, 271 (2010),  259–277
13. Estimating error of the optimal grid design in the problems of nonlinear optimal control of prescribed duration
N. N. Subbotina, T. B. Tokmantsev
Avtomat. i Telemekh., 2009, no. 9,  141–156
14. On the structure of locally Lipschitz minimax solutions of the Hamilton–Jacobi–Bellman equation in terms of classical characteristics
N. N. Subbotina, E. A. Kolpakova
Trudy Inst. Mat. i Mekh. UrO RAN, 15:3 (2009),  202–218
15. Optimal Synthesis in a Control Problem with Lipschitz Input Data
N. N. Subbotina, T. B. Tokmantsev
Tr. Mat. Inst. Steklova, 262 (2008),  240–252
16. On the structure of the solution of the Hamilton-Jacobi equation with piecewise linear input data
N. N. Subbotina, L. G. Shagalova
Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 2,  144–147
17. Defining the asymptotics for one class of singularly perturbed problems of vibrational mechanics
E. A. Kolpakova, N. N. Subbotina
Avtomat. i Telemekh., 2007, no. 11,  150–163
18. The method of generalized characteristics in an optimal control problem with Lipschitz inputs
N. N. Subbotina, T. B. Tokmantsev
Izv. IMI UdGU, 2006, no. 3(37),  141–142
19. A numerical method for the minimax solution of the Bellman equation in the Cauchy problem with additional restrictions
N. N. Subbotina, T. B. Tokmantsev
Trudy Inst. Mat. i Mekh. UrO RAN, 12:1 (2006),  208–215
20. Adjoint variables to optimal control problems
N. N. Subbotina
Trudy Inst. Mat. i Mekh. UrO RAN, 10:2 (2004),  131–141
21. Singular approximations of minimax and viscosity solutions to Hamilton–Jacobi equations
N. N. Subbotina
Trudy Inst. Mat. i Mekh. UrO RAN, 6:1 (2000),  190–208
22. Unified optimality conditions in control problems
N. N. Subbotina
Trudy Inst. Mat. i Mekh. UrO RAN, 1 (1992),  147–159
23. Universal optimal strategies in positional differential games
N. N. Subbotina
Differ. Uravn., 19:11 (1983),  1890–1896

24. Ivan Ivanovich Eremin
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
Trudy Inst. Mat. i Mekh. UrO RAN, 20:2 (2014),  5–12
25. Actual problems of stability and control theory (APSCT'2009)
N. N. Subbotina, A. I. Korotkii
Trudy Inst. Mat. i Mekh. UrO RAN, 16:5 (2010),  3–7

Presentations in Math-Net.Ru
1. Hamiltonian systems in solutions of boundary problems with state constraints for Hamilton–Jacobi–Bellman equations
N. N. Subbotina
International Conference "Mathematical Theory of Optimal Control" dedicated to the 90th birthday of Academician R. V. Gamkrelidze
June 1, 2017 11:50   
2. 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   
3. 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   

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