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Danilin, Alekseĭ Rufimovich

Author ID: danilin.aleksei-rufimovich Recent zbMATH articles by "Danilin, Alekseĭ Rufimovich"
Published as: Danilin, A. R.; Danilin, Alekseĭ Rufimovich

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 126 times in 71 Documents Cited by Year
Asymptotic methods in analysis. (Асимптотические методы в анализе.) Zbl 1211.34003
Il’in, A. M.; Danilin, A. R.
31
2009
On the structure of the solution of a perturbed time-optimal control problem. Zbl 0967.49001
Danilin, A. R.; Il’in, A. M.
12
1998
Time-optimal control of a small mass point without environmental resistance. Zbl 1276.49003
Danilin, A. R.; Kovrizhnykh, O. O.
11
2013
Asymptotic behaviour of bounded controls for a singular elliptic problem in a domain with a small cavity. Zbl 0934.49017
Danilin, A. R.
9
1998
Approximation of a singularly perturbed elliptic problem of optimal control. Zbl 0983.49018
Danilin, A. R.
7
2000
Asymptotics of a solution to an optimal boundary control problem. Zbl 1251.49003
Danilin, A. R.; Zorin, A. P.
6
2010
Asymptotics of the optimal cost functional in a linear optimal control problem. Zbl 1190.49039
Danilin, A. R.; Parysheva, Yu. V.
5
2009
Asymptotics of the optimal value of the performance functional for a rapidly stabilizing indirect control in the regular case. Zbl 1131.49020
Danilin, A. R.
4
2006
Asymptotics of controls for a singular elliptic problem. Zbl 1080.49502
Danilin, A. R.
3
1999
Asymptotics of the solution in a problem of optimal boundary control of a flow through a part of the boundary. Zbl 1343.49006
Danilin, A. R.
3
2016
Asymptotic expansion of solution to singularly perturbed optimal control problem with convex integral quality functional with terminal part depending on slow and fast variables. Zbl 1463.49051
Danilin, Alekseĭ Rufimovich; Shaburov, Aleksandr Aleksandrovich
3
2019
Asymptotic representation of a solution to a singular perturbation linear time-optimal problem. Zbl 1286.49004
Danilin, A. R.; Kovrizhnykh, O. O.
3
2013
The asymptotical behavior of the solution to the time-optimal problem for a linear system under perturbation of initial data. Zbl 0911.93042
Danilin, A. R.; Il’in, A. M.
2
1996
Asymptotic expansion of solutions to optimal boundary control problems. Zbl 1229.49030
Danilin, A. R.; Zorin, A. P.
2
2011
The asymptotics of the optimal value of the performance functional in a linear optimal control problem in the regular case. Zbl 1236.49079
Danilin, A. R.; Parysheva, Yu. V.
2
2007
Asymptotics of the optimal time in a singular perturbed linear time-optimal problem. Zbl 1251.49002
Danilin, A. R.; Kovrizhnykh, O. O.
2
2010
Asymptotic behaviour of solutions of a singular elliptic system in a rectangle. Zbl 1071.35045
Danilin, A. R.
2
2003
On the asymptotics of the solution of a system of linear equations with two small parameters. Zbl 1170.34039
Danilin, A. R.; Kovrizhnykh, O. O.
2
2008
Asymptotic estimates for a solution of a singular perturbation optimal control problem on a closed interval under geometric constraints. Zbl 1302.49002
Danilin, A. R.; Korobitsyna, N. S.
2
2014
Asymptotic expansion of a solution to a singular perturbation optimal control problem on an interval with integral constraint. Zbl 1336.49003
Danilin, A. R.
2
2015
Asymptotic behavior of the optimal cost functional for a rapidly stabilizing indirect control in the singular case. Zbl 07811591
Danilin, A. R.
2
2006
Necessary and sufficient conditions for convergence of finite-dimensional approximations of regularized solutions. Zbl 0535.41039
Tanana, V. P.; Danilin, A. R.
1
1982
On the asymptotics of the optimal value of the performance functional in a linear optimal control problem. Zbl 1230.49037
Danilin, A. R.; Parysheva, Yu. V.
1
2011
Approximation of a singularly perturbed elliptic optimal control problem with geometric constraints on the control. Zbl 1122.49304
Danilin, A. R.
1
2003
On estimates optimal with respect to the order of finite-dimensional approximations of solutions of ill-posed problems. Zbl 0585.47053
Danilin, A. R.
1
1985
Application of the concordance method of asymptotic expansions to solving boundary-value problems. Zbl 1084.35008
Il’in, A. M.; Danilin, A. R.; Zakharov, S. V.
1
2003
Differential equations. Textbook. (Differentsial’nye uravneniya. Uchebnoe posobie.) Zbl 0773.34002
Gustomesov, V. A.; Danilin, A. R.
1
1990
Asymptotics of the optimal time in a time-optimal problem with two small parameters. Zbl 1321.49002
Danilin, A. R.; Kovrizhnykh, O. O.
1
2015
Asymptotics of the solution of a bisingular optimal boundary control problem in a bounded domain. Zbl 1414.35043
Danilin, A. R.
1
2018
Asymptotic expansion of solution of one singularly perturbed optimal control problem with convex integral performance index and cheap control. Zbl 1523.49017
Danilin, A. R.; Shaburov, A. A.
1
2022
Asymptotics of the solution of a singular optimal distributed control problem in a convex domain. Zbl 1400.35097
Danilin, A. R.
1
2018
Asymptotic expansion of a solution of a singularly perturbed optimal control problem with a convex integral quality index, whose terminal part additively depends on slow and fast variables. Zbl 1457.49023
Danilin, Alekseĭ Rufimovich; Shaburov, Aleksandr Aleksandrovich
1
2020
Asymptotic expansion of solution of one singularly perturbed optimal control problem with convex integral performance index and cheap control. Zbl 1523.49017
Danilin, A. R.; Shaburov, A. A.
1
2022
Asymptotic expansion of a solution of a singularly perturbed optimal control problem with a convex integral quality index, whose terminal part additively depends on slow and fast variables. Zbl 1457.49023
Danilin, Alekseĭ Rufimovich; Shaburov, Aleksandr Aleksandrovich
1
2020
Asymptotic expansion of solution to singularly perturbed optimal control problem with convex integral quality functional with terminal part depending on slow and fast variables. Zbl 1463.49051
Danilin, Alekseĭ Rufimovich; Shaburov, Aleksandr Aleksandrovich
3
2019
Asymptotics of the solution of a bisingular optimal boundary control problem in a bounded domain. Zbl 1414.35043
Danilin, A. R.
1
2018
Asymptotics of the solution of a singular optimal distributed control problem in a convex domain. Zbl 1400.35097
Danilin, A. R.
1
2018
Asymptotics of the solution in a problem of optimal boundary control of a flow through a part of the boundary. Zbl 1343.49006
Danilin, A. R.
3
2016
Asymptotic expansion of a solution to a singular perturbation optimal control problem on an interval with integral constraint. Zbl 1336.49003
Danilin, A. R.
2
2015
Asymptotics of the optimal time in a time-optimal problem with two small parameters. Zbl 1321.49002
Danilin, A. R.; Kovrizhnykh, O. O.
1
2015
Asymptotic estimates for a solution of a singular perturbation optimal control problem on a closed interval under geometric constraints. Zbl 1302.49002
Danilin, A. R.; Korobitsyna, N. S.
2
2014
Time-optimal control of a small mass point without environmental resistance. Zbl 1276.49003
Danilin, A. R.; Kovrizhnykh, O. O.
11
2013
Asymptotic representation of a solution to a singular perturbation linear time-optimal problem. Zbl 1286.49004
Danilin, A. R.; Kovrizhnykh, O. O.
3
2013
Asymptotic expansion of solutions to optimal boundary control problems. Zbl 1229.49030
Danilin, A. R.; Zorin, A. P.
2
2011
On the asymptotics of the optimal value of the performance functional in a linear optimal control problem. Zbl 1230.49037
Danilin, A. R.; Parysheva, Yu. V.
1
2011
Asymptotics of a solution to an optimal boundary control problem. Zbl 1251.49003
Danilin, A. R.; Zorin, A. P.
6
2010
Asymptotics of the optimal time in a singular perturbed linear time-optimal problem. Zbl 1251.49002
Danilin, A. R.; Kovrizhnykh, O. O.
2
2010
Asymptotic methods in analysis. (Асимптотические методы в анализе.) Zbl 1211.34003
Il’in, A. M.; Danilin, A. R.
31
2009
Asymptotics of the optimal cost functional in a linear optimal control problem. Zbl 1190.49039
Danilin, A. R.; Parysheva, Yu. V.
5
2009
On the asymptotics of the solution of a system of linear equations with two small parameters. Zbl 1170.34039
Danilin, A. R.; Kovrizhnykh, O. O.
2
2008
The asymptotics of the optimal value of the performance functional in a linear optimal control problem in the regular case. Zbl 1236.49079
Danilin, A. R.; Parysheva, Yu. V.
2
2007
Asymptotics of the optimal value of the performance functional for a rapidly stabilizing indirect control in the regular case. Zbl 1131.49020
Danilin, A. R.
4
2006
Asymptotic behavior of the optimal cost functional for a rapidly stabilizing indirect control in the singular case. Zbl 07811591
Danilin, A. R.
2
2006
Asymptotic behaviour of solutions of a singular elliptic system in a rectangle. Zbl 1071.35045
Danilin, A. R.
2
2003
Approximation of a singularly perturbed elliptic optimal control problem with geometric constraints on the control. Zbl 1122.49304
Danilin, A. R.
1
2003
Application of the concordance method of asymptotic expansions to solving boundary-value problems. Zbl 1084.35008
Il’in, A. M.; Danilin, A. R.; Zakharov, S. V.
1
2003
Approximation of a singularly perturbed elliptic problem of optimal control. Zbl 0983.49018
Danilin, A. R.
7
2000
Asymptotics of controls for a singular elliptic problem. Zbl 1080.49502
Danilin, A. R.
3
1999
On the structure of the solution of a perturbed time-optimal control problem. Zbl 0967.49001
Danilin, A. R.; Il’in, A. M.
12
1998
Asymptotic behaviour of bounded controls for a singular elliptic problem in a domain with a small cavity. Zbl 0934.49017
Danilin, A. R.
9
1998
The asymptotical behavior of the solution to the time-optimal problem for a linear system under perturbation of initial data. Zbl 0911.93042
Danilin, A. R.; Il’in, A. M.
2
1996
Differential equations. Textbook. (Differentsial’nye uravneniya. Uchebnoe posobie.) Zbl 0773.34002
Gustomesov, V. A.; Danilin, A. R.
1
1990
On estimates optimal with respect to the order of finite-dimensional approximations of solutions of ill-posed problems. Zbl 0585.47053
Danilin, A. R.
1
1985
Necessary and sufficient conditions for convergence of finite-dimensional approximations of regularized solutions. Zbl 0535.41039
Tanana, V. P.; Danilin, A. R.
1
1982
all top 5

Cited by 55 Authors

26 Danilin, Alekseĭ Rufimovich
9 Kovrizhnykh, Ol’ga Olegovna
9 Shaburov, Aleksandr Aleksandrovich
8 Zakharov, Sergeĭ Viktorovich
4 Tursunov, Dilmurat Abdillazhanovich
2 Ershov, Aleksandr Anatol’evich
2 Gadyl’shin, Timur Rustemovich
2 Il’in, Arlen Mikhaĭlovich
2 Kurina, Galina A.
2 Parysheva, Yu. V.
2 Sidikova, Anna Ivanovna
2 Sushkov, Andreĭ Sergeevich
2 Tursunov, Dilmurat Abdilllajanovich
1 Alymkulov, Keldibay
1 Andrianov, Igor Vasil’evich
1 Anikin, A. Yu.
1 Asylbekov, T. D.
1 Bekmurza uulu, Ybadylla
1 Claeys, Xavier
1 Collino, Francis
1 Danishevskiĭ, Vladislav Valentinovich
1 Dmitriev, Mikhail G.
1 Dobrokhotov, Sergei Yurievich
1 Dolbeeva, S. F.
1 Efimov, Dmitriĭ Yur’evich
1 Erkebaev, Ulukbek Zairbekovich
1 Frolovskaya, Oksana A.
1 Gamkrelidze, Revaz Valerianovich
1 Hoai, Nguyen Thi Xuan
1 Kalashnikova, Margarita A.
1 Kapustyan, Volodymyr Omelyanovich
1 Korobitsyna, N. S.
1 Kozhobekov, Kudaiberdi Gaparalievich
1 Krivopol, V. A.
1 Lee, Chiun-Chang
1 Leont’eva, Anastasiya O.
1 Markeev, Anatoliĭ Pavlovich
1 Mukminov, Farit Khamzaevich
1 Nalimov, Mikhail Yur’evich
1 Nauryzbaev, N. Zh.
1 Nazaikinskii, Vladimir E.
1 Nguyen, Thi Hoai Thuong
1 Pukhnachov, Vladislav Vasil’evich
1 Rogerson, Graham A.
1 Rusanova, Mariya Igor’evna
1 Safarova, Arzu R.
1 Salmanov, Valid F.
1 Shabat, Alekseĭ Borisovich
1 Shamaev, E. V.
1 Shomanova, A. A.
1 Subbotina, Nina N.
1 Tanana, Vitaly Pavlovich
1 Temirgaliev, Nurlan Temirgalievich
1 Tolokonnikov, Lev Alekseevich
1 Tsvetkova, Anna V.

Citations by Year