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Subbotina Nina Nikolaevna
Statistics Math-Net.Ru
Total publications: 26
Scientific articles: 24
Presentations: 4
Number of views: This page: 2005 Abstract pages: 4636 Full texts: 1185 References: 683
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:
email
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
https://mathscinet.ams.org/mathscinet/MRAuthorID/190763
Publications in Math-Net.Ru
1.
Optimal result in a control problem with piecewise monotone dynamics Trudy Inst. Mat. i Mekh. UrO RAN , 23 :4 (2017), 265–280
2.
The method of characteristics in an identification problem Trudy Inst. Mat. i Mekh. UrO RAN , 22 :2 (2016), 255–266
3.
The construction of a continuous generalized solution for the Hamilton–Jacobi equations with state constraints Izv. IMI UdGU , 2015, no. 2(46), 193–201
4.
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
5.
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
6.
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
7.
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
8.
On constructions of the generalized solution of the Hamilton–Jacobi equation in bounded domains Izv. IMI UdGU , 2012, no. 1(39), 126–127
9.
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
10.
Method of characteristics for optimal control problems and conservation laws CMFD , 42 (2011), 204–210
11.
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
12.
The Method of Characteristics in Macroeconomic Modeling Contributions to Game Theory and Management , 3 (2010), 399–408
13.
Classical characteristics of the Bellman equation in constructions of grid optimal synthesis Tr. Mat. Inst. Steklova , 271 (2010), 259–277
14.
Estimating error of the optimal grid design in the problems of nonlinear optimal control of prescribed duration Avtomat. i Telemekh. , 2009, no. 9, 141–156
15.
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
16.
Optimal Synthesis in a Control Problem with Lipschitz Input Data Tr. Mat. Inst. Steklova , 262 (2008), 240–252
17.
On the structure of the solution of the Hamilton-Jacobi equation with piecewise linear input data Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki , 2008, no. 2, 144–147
18.
Defining the asymptotics for one class of singularly perturbed problems of vibrational mechanics Avtomat. i Telemekh. , 2007, no. 11, 150–163
19.
The method of generalized characteristics in an optimal control problem with Lipschitz inputs Izv. IMI UdGU , 2006, no. 3(37), 141–142
20.
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
21.
Adjoint variables to optimal control problems Trudy Inst. Mat. i Mekh. UrO RAN , 10 :2 (2004), 131–141
22.
Singular approximations of minimax and viscosity solutions to Hamilton–Jacobi equations Trudy Inst. Mat. i Mekh. UrO RAN , 6 :1 (2000), 190–208
23.
Unified optimality conditions in control problems Trudy Inst. Mat. i Mekh. UrO RAN , 1 (1992), 147–159
24.
Universal optimal strategies in positional differential games Differ. Uravn. , 19 :11 (1983), 1890–1896
25.
Ivan Ivanovich Eremin Trudy Inst. Mat. i Mekh. UrO RAN , 20 :2 (2014), 5–12
26.
Actual problems of stability and control theory (APSCT'2009) Trudy Inst. Mat. i Mekh. UrO RAN , 16 :5 (2010), 3–7
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