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Author ID: subbotina.nina-n Recent zbMATH articles by "Subbotina, Nina N."
Published as: Subbotina, N. N.; Subbotina, Nina N.
External Links: Wikidata · Math-Net.Ru
Documents Indexed: 60 Publications since 1972
1 Further Contribution
Reviewing Activity: 28 Reviews
Co-Authors: 17 Co-Authors with 41 Joint Publications
441 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 157 times in 93 Documents Cited by Year
The method of characteristics for Hamilton-Jacobi equations and applications to dynamical optimization. Zbl 1184.49032
Subbotina, N. N.
17
2006
Alternative for the encounter-evasion differential game with constraints on the momenta of the players’ controls. Zbl 0363.90136
Subbotina, N. N.; Subbotin, A. I.
17
1975
Universal optimal strategies in positional differential games. Zbl 0543.90104
Subbotina, N. N.
14
1983
Necessary and sufficient conditions for a piecewise smooth value of a differential game. Zbl 0431.90101
Subbotin, A. I.; Subbotina, N. N.
10
1978
The maximum principle and the superdifferential of the value function. Zbl 0684.49009
Subbotina, N. N.
8
1989
Properties of a differential game’s potential. Zbl 0517.90101
Subbotin, A. I.; Subbotina, N. N.
7
1982
Asymptotic analysis of singularly perturbed Hamilton-Jacobi equations. Zbl 1073.35514
Subbotina, N. N.
6
1999
On the structure of locally Lipschitz minimax solutions of the Hamilton-Jacobi-Bellman equation in terms of classical characteristics. Zbl 1304.35711
Subbotina, N. N.; Kolpakova, E. A.
5
2010
On the efficiency of optimal grid synthesis in optimal control problems with fixed terminal time. Zbl 1187.49029
Subbotina, N. N.; Tokmantsev, T. B.
5
2009
Asymptotic properties of minimax solutions of Isaacs-Bellman equations in differential games with fast and slow motions. Zbl 1040.91502
Subbotina, N. N.
5
1996
On the solution of inverse problems of dynamics of linearly controlled systems by the negative discrepancy method. Zbl 1336.65114
Subbotina, N. N.; Tokmantsev, T. B.; Krupennikov, E. A.
4
2015
The method of Cauchy characteristics and generalized solutions of the Hamilton-Jacobi-Bellman equation. Zbl 0793.35015
Subbotina, N. N.
4
1991
The method of characteristics in an identification problem. Zbl 1384.93035
Subbotina, N. N.; Krupennikov, E. A.
4
2017
The optimum result function in a control problem. Zbl 0528.49011
Subbotin, A. I.; Subbotina, N. N.
4
1982
Singular approximations of minimax and viscosity solutions to Hamilton-Jacobi equations. Zbl 1127.35309
Subbotina, N. N.
3
2000
A numerical method for the minimax solution of the Bellman equation in the Cauchy problem with additional restrictions. Zbl 1122.49026
Subbotina, N. N.; Tokmantsev, T. B.
3
2006
Classical characteristics of the Bellman equation in constructions of grid optimal synthesis. Zbl 1302.49049
Subbotina, N. N.; Tokmantsev, T. B.
3
2010
Asymptotics for singularly perturbed differential games. Zbl 1108.49302
Subbotina, Nina N.
3
2001
The generalized method of characteristic in an optimal control problem with Lipschitz data. Zbl 1192.49025
Subbotina, N. N.
2
2006
Calculus of variations in solutions of dynamic reconstruction problems. Zbl 1484.49064
Subbotina, Nina N.
2
2020
Hamiltonian systems for control reconstruction problems. Zbl 1452.65131
Subbotina, Nina N.; Krupennikov, Evgenii A.
2
2020
Andrei Izmailovich Subbotin (on the occasion of his 70th birthday). Zbl 1348.01028
Taras’ev, A. M.; Ushakov, V. N.; Chentsov, A. G.; Subbotina, N. N.
2
2016
Stochastic and deterministic control differential inequalities. Zbl 0605.90147
Subbotina, N. N.; Subbotin, A. I.; Tret’jakov, V. E.
2
1985
Necessary and sufficient conditions of optimality of controls and trajectories. Zbl 0646.49018
Subbotina, N. N.
2
1986
Unified optimality conditions in control problems. Zbl 0813.49023
Subbotina, N. N.
2
1992
Piecewise smooth solutions of first-order partial differential equations. Zbl 0834.35029
Subbotin, A. I.; Subbotina, N. N.
2
1993
Spielproblem der Steuerung bei unvollständiger Information. Zbl 0378.90104
Subbotina, N. N.; Subbotin, A. I.
2
1977
Sufficient optimality conditions for feedbacks to control problems. Zbl 1029.49033
Subbotina, Nina N.
2
2002
Optimal synthesis in a control problem with Lipschitz input data. Zbl 1160.49038
Subbotina, N. N.; Tokmantsev, T. B.
2
2008
Weak\(^\ast\) solution to a dynamic reconstruction problem. Zbl 1482.93266
Subbotina, N. N.; Krupennikov, E. A.
1
2021
Construction of a generalized solution to an equation that preserves the Bellman type in a given domain of the state space. Zbl 1297.35081
Subbotina, N. N.; Shagalova, L. G.
1
2012
On grid optimal feedbacks to control problems of prescribed duration on the plane. Zbl 1221.49063
Subbotina, Nina N.; Tokmantsev, Timofey B.
1
2011
Estimating error of the optimal grid design in the problems of nonlinear optimal control of prescribed duration. Zbl 1183.93052
Subbotina, N. N.; Tokmantsev, T. V.
1
2009
On applications of the Hamilton-Jacobi equations and optimal control theory to problems of chemotherapy of malignant tumors. Zbl 1422.49044
Subbotina, N. N.; Novoselova, N. G.
1
2019
Stochastic and deterministic control: Differential inequalities. Zbl 0593.49024
Subbotina, N. N.; Subbotin, A. I.; Tret’yakov, V. E.
1
1986
Some sufficient conditions of existence of universal strategies. Zbl 0618.90108
Subbotina, N. N.
1
1985
Necessary and sufficient conditions for the non-smooth value of a differential game. Zbl 0523.90104
Subbotina, N. N.; Subbotin, A. I.
1
1981
The construction of a continuous generalized solution for the Hamilton-Jacobi equations with state constraints. Zbl 1338.35108
Subbotina, N. N.; Shagalova, L. G.
1
2015
Nonsmooth and discontinuous solutions of first-order partial differential equations. Zbl 0852.49018
Subbotin, A. I.; Subbotina, N. N.
1
1994
Differential control systems. Collection of articles. (Дифференциал’ные системы управления. Сборник статей.) Zbl 0476.93003
1
1979
Defining the asymptotics for one class of singularly perturbed problems of vibrational mechanics. Zbl 1146.93029
Kolpakova, E. A.; Subbotina, N. N.
1
2007
On a game problem of conflicting control. Zbl 0254.90073
Subbotina, N. N.
1
1972
Weak\(^\ast\) solution to a dynamic reconstruction problem. Zbl 1482.93266
Subbotina, N. N.; Krupennikov, E. A.
1
2021
Calculus of variations in solutions of dynamic reconstruction problems. Zbl 1484.49064
Subbotina, Nina N.
2
2020
Hamiltonian systems for control reconstruction problems. Zbl 1452.65131
Subbotina, Nina N.; Krupennikov, Evgenii A.
2
2020
On applications of the Hamilton-Jacobi equations and optimal control theory to problems of chemotherapy of malignant tumors. Zbl 1422.49044
Subbotina, N. N.; Novoselova, N. G.
1
2019
The method of characteristics in an identification problem. Zbl 1384.93035
Subbotina, N. N.; Krupennikov, E. A.
4
2017
Andrei Izmailovich Subbotin (on the occasion of his 70th birthday). Zbl 1348.01028
Taras’ev, A. M.; Ushakov, V. N.; Chentsov, A. G.; Subbotina, N. N.
2
2016
On the solution of inverse problems of dynamics of linearly controlled systems by the negative discrepancy method. Zbl 1336.65114
Subbotina, N. N.; Tokmantsev, T. B.; Krupennikov, E. A.
4
2015
The construction of a continuous generalized solution for the Hamilton-Jacobi equations with state constraints. Zbl 1338.35108
Subbotina, N. N.; Shagalova, L. G.
1
2015
Construction of a generalized solution to an equation that preserves the Bellman type in a given domain of the state space. Zbl 1297.35081
Subbotina, N. N.; Shagalova, L. G.
1
2012
On grid optimal feedbacks to control problems of prescribed duration on the plane. Zbl 1221.49063
Subbotina, Nina N.; Tokmantsev, Timofey B.
1
2011
On the structure of locally Lipschitz minimax solutions of the Hamilton-Jacobi-Bellman equation in terms of classical characteristics. Zbl 1304.35711
Subbotina, N. N.; Kolpakova, E. A.
5
2010
Classical characteristics of the Bellman equation in constructions of grid optimal synthesis. Zbl 1302.49049
Subbotina, N. N.; Tokmantsev, T. B.
3
2010
On the efficiency of optimal grid synthesis in optimal control problems with fixed terminal time. Zbl 1187.49029
Subbotina, N. N.; Tokmantsev, T. B.
5
2009
Estimating error of the optimal grid design in the problems of nonlinear optimal control of prescribed duration. Zbl 1183.93052
Subbotina, N. N.; Tokmantsev, T. V.
1
2009
Optimal synthesis in a control problem with Lipschitz input data. Zbl 1160.49038
Subbotina, N. N.; Tokmantsev, T. B.
2
2008
Defining the asymptotics for one class of singularly perturbed problems of vibrational mechanics. Zbl 1146.93029
Kolpakova, E. A.; Subbotina, N. N.
1
2007
The method of characteristics for Hamilton-Jacobi equations and applications to dynamical optimization. Zbl 1184.49032
Subbotina, N. N.
17
2006
A numerical method for the minimax solution of the Bellman equation in the Cauchy problem with additional restrictions. Zbl 1122.49026
Subbotina, N. N.; Tokmantsev, T. B.
3
2006
The generalized method of characteristic in an optimal control problem with Lipschitz data. Zbl 1192.49025
Subbotina, N. N.
2
2006
Sufficient optimality conditions for feedbacks to control problems. Zbl 1029.49033
Subbotina, Nina N.
2
2002
Asymptotics for singularly perturbed differential games. Zbl 1108.49302
Subbotina, Nina N.
3
2001
Singular approximations of minimax and viscosity solutions to Hamilton-Jacobi equations. Zbl 1127.35309
Subbotina, N. N.
3
2000
Asymptotic analysis of singularly perturbed Hamilton-Jacobi equations. Zbl 1073.35514
Subbotina, N. N.
6
1999
Asymptotic properties of minimax solutions of Isaacs-Bellman equations in differential games with fast and slow motions. Zbl 1040.91502
Subbotina, N. N.
5
1996
Nonsmooth and discontinuous solutions of first-order partial differential equations. Zbl 0852.49018
Subbotin, A. I.; Subbotina, N. N.
1
1994
Piecewise smooth solutions of first-order partial differential equations. Zbl 0834.35029
Subbotin, A. I.; Subbotina, N. N.
2
1993
Unified optimality conditions in control problems. Zbl 0813.49023
Subbotina, N. N.
2
1992
The method of Cauchy characteristics and generalized solutions of the Hamilton-Jacobi-Bellman equation. Zbl 0793.35015
Subbotina, N. N.
4
1991
The maximum principle and the superdifferential of the value function. Zbl 0684.49009
Subbotina, N. N.
8
1989
Necessary and sufficient conditions of optimality of controls and trajectories. Zbl 0646.49018
Subbotina, N. N.
2
1986
Stochastic and deterministic control: Differential inequalities. Zbl 0593.49024
Subbotina, N. N.; Subbotin, A. I.; Tret’yakov, V. E.
1
1986
Stochastic and deterministic control differential inequalities. Zbl 0605.90147
Subbotina, N. N.; Subbotin, A. I.; Tret’jakov, V. E.
2
1985
Some sufficient conditions of existence of universal strategies. Zbl 0618.90108
Subbotina, N. N.
1
1985
Universal optimal strategies in positional differential games. Zbl 0543.90104
Subbotina, N. N.
14
1983
Properties of a differential game’s potential. Zbl 0517.90101
Subbotin, A. I.; Subbotina, N. N.
7
1982
The optimum result function in a control problem. Zbl 0528.49011
Subbotin, A. I.; Subbotina, N. N.
4
1982
Necessary and sufficient conditions for the non-smooth value of a differential game. Zbl 0523.90104
Subbotina, N. N.; Subbotin, A. I.
1
1981
Differential control systems. Collection of articles. (Дифференциал’ные системы управления. Сборник статей.) Zbl 0476.93003
1
1979
Necessary and sufficient conditions for a piecewise smooth value of a differential game. Zbl 0431.90101
Subbotin, A. I.; Subbotina, N. N.
10
1978
Spielproblem der Steuerung bei unvollständiger Information. Zbl 0378.90104
Subbotina, N. N.; Subbotin, A. I.
2
1977
Alternative for the encounter-evasion differential game with constraints on the momenta of the players’ controls. Zbl 0363.90136
Subbotina, N. N.; Subbotin, A. I.
17
1975
On a game problem of conflicting control. Zbl 0254.90073
Subbotina, N. N.
1
1972
all top 5

Cited by 93 Authors

20 Subbotina, Nina N.
6 Krupennikov, Evgenii Aleksandrovitch
6 Subbotin, Andreĭ Izmaĭlovich
6 Tokmantsev, Timofeĭ Borisovich
6 Ukhobotov, Viktor Ivanovich
6 Ushakov, Vladimir Nikolaevich
5 Huseyin, Anar
5 Huseyin, Nesir
5 Izmest’ev, Igor’ Vyacheslavovich
5 Taras’ev, Aleksandr Mikhaĭlovich
4 Guseinov, Khalik G.
4 Lukoyanov, Nikolaĭ Yur’evich
4 Patsko, Valerii S.
3 Frankowska, Hélène
3 Kolpakova, Ekaterina A.
3 Stern, Ronald Jay
2 Cannarsa, Piermarco
2 Chikriĭ, Arkadiĭ Alekseevich
2 Clarke, Francis H.
2 Danilin, Alekseĭ Rufimovich
2 Dzhafarov, V. Ya.
2 Garnysheva, G. G.
2 Krasovskiĭ, Nikolaĭ Nikolaevich
2 Scarinci, Teresa
2 Uspenskiĭ, Aleksandr Aleksandrovich
1 Adiatulina, R. A.
1 Alias, Idham Arif
1 Arbuzov, Boris A.
1 Baĭdosov, Vyacheslav Aleksandrovich
1 Bardi, Martino
1 Batishchev, V. A.
1 Bayraktar, Erhan
1 Botkin, Nikolai D.
1 Bru, Jean-Bernard
1 Buchheim, Christoph
1 Chentsov, Aleksandr Georgievich
1 Chikrii, Greta Ts.
1 Chow, Yat Tin
1 Cosso, Andrea
1 Darbon, Jerome
1 Dmitriev, M. G.
1 Dower, Peter M.
1 E, Weinan
1 Egorov, Ivan Egorovich
1 Ershov, Aleksandr Anatol’evich
1 Filippova, Tat’yana Fëdorovna
1 Gamkrelidze, Revaz Valerianovich
1 Goldys, Beniamin
1 Gomoyunov, Mikhail Igorevich
1 Grigorenko, Nikolaĭ Leont’evich
1 Han, Jiequn
1 Kein, V. M.
1 Keller, Christian
1 Khlopin, Dmitriĭ Valer’evich
1 Khoroshun, A. S.
1 Kornev, Dmitriĭ Vasil’evich
1 Korobitsyna, N. S.
1 Krasovskiĭ, Nikolaĭ Andreevich
1 Kublanov, V. S.
1 Kuhlmann, Renke
1 Kumkov, Sergeĭ Ivanovich
1 Kurina, Galina A.
1 Ledyaev, Yuri Semenovich
1 Li, Qianxiao
1 Lipin, Anton Evgen’evich
1 Maksimov, Vyacheslav Ivanovich
1 Malygina, Ekaterina Sergeevna
1 Martynyuk, Anatoliĭ Andriĭovych
1 Mazzola, Marco
1 Nobakhtian, Soghra
1 Novoselov, S. A.
1 Osher, Stanley Joel
1 Papakov, G. V.
1 Ri, Kuk Hwan
1 Rifford, Ludovic
1 Rodin, Aleksei S.
1 Rumyantsev, A. E.
1 Russo, Francesco
1 Rutkas, Anatoliĭ Georgievich
1 Shagalova, Lyubov’ Gennad’evna
1 Sonu, Kuk Hyon
1 Soravia, Pierpaolo
1 Ushakov, Andreĭ Vladimirovich
1 Vakhrushev, V. A.
1 Vlasenko, Larisa Andreevna
1 Wolenski, Peter R.
1 Wu, Xiaochi
1 Yegorov, I. Ye.
1 Yegorov, Ivan V.
1 Yin, Wotao
1 Zagrebnov, Valentin A.
1 Zaitsev, Ivan V.
1 Zhou, Zhou
all top 5

Cited in 37 Serials

22 Proceedings of the Steklov Institute of Mathematics
17 Journal of Applied Mathematics and Mechanics
6 Journal of Mathematical Sciences (New York)
4 Prikladnaya Matematika i Mekhanika
3 Automation and Remote Control
2 SIAM Journal on Control and Optimization
2 Moscow University Computational Mathematics and Cybernetics
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Mathematical Modelling and Analysis
2 Minimax Theory and its Applications
1 Journal of Computational Physics
1 Mathematical Notes
1 Physics Reports
1 Theoretical and Mathematical Physics
1 Applied Mathematics and Optimization
1 Journal of Functional Analysis
1 Journal of Optimization Theory and Applications
1 Transactions of the American Mathematical Society
1 Optimal Control Applications & Methods
1 Mathematical and Computer Modelling
1 Journal of Scientific Computing
1 Computational Optimization and Applications
1 NoDEA. Nonlinear Differential Equations and Applications
1 Bernoulli
1 Sbornik: Mathematics
1 Journal of Inequalities and Applications
1 Journal of Dynamical and Control Systems
1 Lobachevskii Journal of Mathematics
1 Differential Equations
1 Matematicheskaya Teoriya Igr i eë Prilozheniya
1 Dynamic Games and Applications
1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
1 Nonlinear Analysis. Theory, Methods & Applications
1 Research in the Mathematical Sciences
1 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal
1 Ural Mathematical Journal
1 Matematicheskie Voprosy Kriptografii

Citations by Year

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