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Publications in Math-Net.Ru |
Citations |
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2015 |
1. |
Yu. N. Kiselev, M. V. Orlov, S. M. Orlov, “Boundary value problem of Pontryagin's maximum principle in a two-sector economy model with an integral utility function”, Zh. Vychisl. Mat. Mat. Fiz., 55:11 (2015), 1812–1826 ; Comput. Math. Math. Phys., 55:11 (2015), 1779–1793 |
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2013 |
2. |
Yu. N. Kiselev, S. N. Avvakumov, “Construction of analytic solutions of the Cauchy problem for a two-dimensional Hamiltonian system”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:4 (2013), 131–141 |
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2008 |
3. |
Yu. N. Kiselev, “Approximation of Convex Compact Sets by Ellipsoids. Ellipsoids of Best Approximation”, Trudy Mat. Inst. Steklova, 262 (2008), 103–126 ; Proc. Steklov Inst. Math., 262 (2008), 96–120 |
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2006 |
4. |
Yu. N. Kiselev, S. N. Avvakumov, M. V. Orlov, “The hyperbolic tangent law in optimal control synthesis for a nonlinear model with discounting”, Differ. Uravn., 42:11 (2006), 1490–1506 ; Differ. Equ., 42:11 (2006), 1562–1578 |
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5. |
S. N. Avvakumov, Yu. N. Kiselev, “Some algorithms of optimal control”, Trudy Inst. Mat. i Mekh. UrO RAN, 12:2 (2006), 3–17 ; Proc. Steklov Inst. Math. (Suppl.), 255, suppl. 2 (2006), S1–S15 |
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2004 |
6. |
Yu. N. Kiselev, M. V. Orlov, “A study of one-dimensional optimization models with infinite horizon”, Differ. Uravn., 40:12 (2004), 1615–1628 ; Differ. Equ., 40:12 (2004), 1694–1708 |
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2001 |
7. |
H. A. Van den Berg, Yu. N. Kiselev, M. V. Orlov, “Analysis of Trajectories of a Nonlinear System of Differential Equations”, Differ. Uravn., 37:11 (2001), 1443–1452 ; Differ. Equ., 37:11 (2001), 1515–1525 |
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2000 |
8. |
Yu. N. Kiselev, “Extremal description of unknown parameters in the boundary value problem of the maximum principle”, Trudy Inst. Mat. i Mekh. UrO RAN, 6:1 (2000), 72–90 ; Proc. Steklov Inst. Math. (Suppl.), 2000no. , suppl. 1, S119–S135 |
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1998 |
9. |
Yu. N. Kiselev, “Extremal property of the initial value of the adjoint variable in the minimization problem of the energy functional on trajectories of linear systems with constrained control”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 60 (1998), 107–127 ; J. Math. Sci. (New York), 100:5 (2000), 2515–2530 |
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1997 |
10. |
Yu. N. Kiselev, “Construction of precise solutions in special type nonlinear time optimal control problem”, Fundam. Prikl. Mat., 3:3 (1997), 847–868 |
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1996 |
11. |
Yu. N. Kiselev, “Control systems with an integral invariant”, Differ. Uravn., 32:4 (1996), 477–483 ; Differ. Equ., 32:4 (1996), 478–484 |
12. |
Yu. N. Kiselev, M. V. Orlov, “The potential method in a linear time-optimality problem”, Differ. Uravn., 32:1 (1996), 44–51 ; Differ. Equ., 32:1 (1996), 46–53 |
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1995 |
13. |
Yu. N. Kiselev, M. V. Orlov, “A nonlinear boundary value problem for Pontryagin's maximum principle in a linear time-optimality problem”, Differ. Uravn., 31:11 (1995), 1843–1850 ; Differ. Equ., 31:11 (1995), 1810–1818 |
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14. |
S. N. Avvakumov, Yu. N. Kiselev, M. V. Orlov, “Methods of solving optimal control problems based on the Pontryagin maximum principle”, Trudy Mat. Inst. Steklov., 211 (1995), 3–31 ; Proc. Steklov Inst. Math., 211 (1995), 1–27 |
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1991 |
15. |
Yu. N. Kiselev, M. V. Orlov, “Numerical algorithms for linear time-optimal controls”, Zh. Vychisl. Mat. Mat. Fiz., 31:12 (1991), 1763–1771 ; U.S.S.R. Comput. Math. Math. Phys., 31:12 (1991), 1–7 |
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16. |
Yu. N. Kiselev, I. V. Nemtchinov, V. V. Shuvalov, “Mathematical modelling of the propagation of intensively radiating shock waves”, Zh. Vychisl. Mat. Mat. Fiz., 31:6 (1991), 901–921 ; U.S.S.R. Comput. Math. Math. Phys., 31:6 (1991), 87–101 |
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1990 |
17. |
Yu. N. Kiselev, “Optimal design in a smooth linear time-optimality problem”, Differ. Uravn., 26:2 (1990), 232–237 ; Differ. Equ., 26:2 (1990), 174–178 |
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1988 |
18. |
Yu. N. Kiselev, “Methods for solving a smooth linear time-optimality problem”, Trudy Mat. Inst. Steklov., 185 (1988), 106–115 ; Proc. Steklov Inst. Math., 185 (1990), 121–132 |
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1985 |
19. |
Yu. N. Kiselev, “Linear time-optimality problem and the unit sphere of initial values of a conjugate variable”, Trudy Mat. Inst. Steklov., 167 (1985), 179–182 ; Proc. Steklov Inst. Math., 167 (1986), 201–204 |
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1976 |
20. |
Yu. N. Astakhov, Yu. N. Kiselev, A. A. Fedoseev, “The problem of geometric programming without forced constraints”, Zh. Vychisl. Mat. Mat. Fiz., 16:1 (1976), 251–256 ; U.S.S.R. Comput. Math. Math. Phys., 16:1 (1976), 246–252 |
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1972 |
21. |
Yu. N. Astakhov, V. A. Venikov, I. G. Gordievskii, D. D. Karasev, Yu. N. Kiselev, V. I. Sveshnikov, A. A. Fedoseev, “Some problems of the optimization of large systems”, Zh. Vychisl. Mat. Mat. Fiz., 12:5 (1972), 1145–1158 ; U.S.S.R. Comput. Math. Math. Phys., 12:5 (1972), 75–92 |
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1971 |
22. |
Yu. N. Kiselev, “A linear problem of time-optimality in the case of analytic perturbations of the initial conditions”, Differ. Uravn., 7:12 (1971), 2151–2160 |
23. |
Yu. N. Kiselev, “Differentiability of a mapping that describes isochrone surfaces in a linear time optimal problem”, Differ. Uravn., 7:8 (1971), 1385–1392 |
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1968 |
24. |
Yu. N. Kiselev, “An asymptotic solution of the problem of time-optimal control systmes which are close to linear ones”, Dokl. Akad. Nauk SSSR, 182:1 (1968), 31–34 |
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2011 |
25. |
Yu. N. Kiselev, M. V. Orlov, “О проектировании точки на эллипсоид”, Math. Ed., 2011, no. 1(57), 45–48 |
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2007 |
26. |
S. Avvakumov, A. Begunts, P. Borodin, S. Voloshin, V. Voronin, N. Grigorenko, E. Grigor'ev, D. Denisov, A. Zoteev, Yu. Kiselev, S. Kozlov, I. Lomov, G. Medvedev, A. Nevzorov, V. Panferov, V. Pogozhev, A. Razgulin, S. Samsonov, I. Sergeev, A. Sklyankin, V. Ushakov, E. Khailov, S. Chesnokov, E. Shikin, A. Shcheglov, B. Shchedrin, “Московский государственный университет им. М.В. Ломоносова”, Kvant, 2007, no. 1, 44–52 |
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Presentations in Math-Net.Ru |
1. |
Direct calculation of the optimal regulator's constant and Bellman function in the Fuller problem using the Maple system possibilities Yu. N. Kiselev, S. N. Avvakumov
International conference "Systems Analysis: Modeling and Control" in memory of Academician A. V. Kryazhimskiy June 1, 2018 14:30
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2. |
Solution of Fuller's problem based on Pontryagin's maximum principle Yu. N. Kiselev, M. V. Orlov, S. M. Orlov
International conference "Systems Analysis: Modeling and Control" in memory of Academician A. V. Kryazhimskiy June 1, 2018 14:30
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3. |
Исследование задачи Фуллера с помощью принципа максимума Понтрягина Yu. N. Kiselev, M. V. Orlov
Problems of Mathematical Control Theory April 13, 2018 15:00
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4. |
The singular ray construction in a multidimensional economic model with different amortization coefficients Yu. N. Kiselev, M. V. Orlov, S. M. Orlov
International Conference "Mathematical Theory of Optimal Control"
dedicated to the 90th birthday of Academician R. V. Gamkrelidze June 2, 2017 16:05
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5. |
Generalized Chaplygin's problem. Constructive description of optimal solution Yu. N. Kiselev, S. N. Avvakumov
International Conference "Mathematical Theory of Optimal Control"
dedicated to the 90th birthday of Academician R. V. Gamkrelidze June 2, 2017 16:05
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Organisations |
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