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Korobov, Valerii Ivanovich
Professor
Doctor of physico-mathematical sciences
E-mail: ,

https://www.mathnet.ru/eng/person23247
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/215695

Publications in Math-Net.Ru Citations
2017
1. V. I. Korobov, M. O. Bebiya, “Stabilization of one class of nonlinear systems”, Avtomat. i Telemekh., 2017, no. 1,  3–18  mathnet  elib; Autom. Remote Control, 78:1 (2017), 1–15  isi  scopus 5
2. V. I. Korobov, T. V. Revina, “On robust feedback for systems with multidimensional control”, Zh. Mat. Fiz. Anal. Geom., 13:1 (2017),  35–56  mathnet  isi 2
2016
3. M. O. Bebiya, V. I. Korobov, “On stabilization problem for nonlinear systems with power principal part”, Zh. Mat. Fiz. Anal. Geom., 12:2 (2016),  113–133  mathnet  mathscinet  isi  elib 2
2014
4. V. I. Korobov, A. V. Lutsenko, “Robust stabilization of one class of nonlinear systems”, Avtomat. i Telemekh., 2014, no. 8,  99–112  mathnet; Autom. Remote Control, 75:8 (2014), 1433–1444  isi  scopus 5
2004
5. A. E. Choque Rivero, V. I. Korobov, V. A. Skorik, “The controllability function as the time of motion. II”, Mat. Fiz. Anal. Geom., 11:3 (2004),  341–354  mathnet  mathscinet  zmath 10
6. A. E. Choque Rivero, V. I. Korobov, V. A. Skorik, “The controllability function as the time of motion. I”, Mat. Fiz. Anal. Geom., 11:2 (2004),  208–225  mathnet  mathscinet  zmath 14
2003
7. V. I. Korobov, A. N. Bugaevskaya, “The solution of one time-optimal problem on the basis of the Markov moment min-problem with even gaps”, Mat. Fiz. Anal. Geom., 10:4 (2003),  505–523  mathnet  mathscinet  zmath 2
2002
8. V. I. Korobov, V. A. Skorik, “Positional Synthesis of Bounded Inertial Controls for Systems with One-Dimensional Control”, Differ. Uravn., 38:3 (2002),  319–331  mathnet  mathscinet; Differ. Equ., 38:3 (2002), 332–348 2
9. V. I. Korobov, G. M. Sklyar, V. V. Florinskii, “A Minimal Polynomial for Finding the Switching Instants and the Support Vector of the Controllability Domain”, Differ. Uravn., 38:1 (2002),  16–19  mathnet  mathscinet; Differ. Equ., 38:1 (2002), 15–18
2001
10. V. I. Korobov, S. S. Pavlichkov, “The continuous dependence of the solution of the controllability problem on the initial and the terminal states for the triangular nonlinearizable systems”, Mat. Fiz. Anal. Geom., 8:2 (2001),  189–204  mathnet  mathscinet  zmath 2
11. V. I. Korobov, T. I. Ivanova, “Mapping of nonlinear control systems of the special form onto the canonical system”, Mat. Fiz. Anal. Geom., 8:1 (2001),  42–57  mathnet  mathscinet  zmath
2000
12. V. I. Korobov, G. M. Sklyar, V. V. Florinskii, “The minimal polynomial for determining of all points of switching in the time optimal control problem”, Mat. Fiz. Anal. Geom., 7:3 (2000),  308–320  mathnet  mathscinet  zmath 4
1999
13. V. I. Korobov, G. M. Sklyar, V. V. Florinskii, “Methods of construction of time-optimal controls for canonical control systems”, Mat. Fiz. Anal. Geom., 6:3/4 (1999),  264–287  mathnet  mathscinet  zmath 1
1997
14. V. I. Korobov, G. M. Sklyar, “Local and global exact controllability in Hilbert space”, Mat. Fiz. Anal. Geom., 4:1/2 (1997),  84–103  mathnet
1991
15. V. I. Korobov, G. M. Sklyar, “The generating function method in the problem of moments with periodic gaps”, Dokl. Akad. Nauk SSSR, 318:1 (1991),  32–35  mathnet  mathscinet  zmath; Dokl. Math., 43:3 (1991), 657–660
16. V. I. Korobov, G. M. Sklyar, “The Markov moment min-problem and time optimality”, Sibirsk. Mat. Zh., 32:1 (1991),  60–71  mathnet  mathscinet  zmath; Siberian Math. J., 32:1 (1991), 46–55  isi 2
1990
17. V. I. Korobov, G. M. Sklyar, “On the set of positional bounded controls that solve the synthesis problem”, Dokl. Akad. Nauk SSSR, 312:6 (1990),  1304–1308  mathnet  mathscinet  zmath; Dokl. Math., 41:3 (1990), 532–535 2
18. V. I. Korobov, G. M. Sklyar, “Methods for constructing positional controls, and a feasible maximum principle”, Differ. Uravn., 26:11 (1990),  1914–1924  mathnet  mathscinet; Differ. Equ., 26:11 (1990), 1422–1431 1
1989
19. V. I. Korobov, G. M. Sklyar, “The Markov moment problem on a minimally possible segment”, Dokl. Akad. Nauk SSSR, 308:3 (1989),  525–528  mathnet  mathscinet  zmath; Dokl. Math., 40:2 (1990), 334–337
20. V. I. Korobov, G. M. Sklyar, “Time-optimal control and the trigonometric moment problem”, Izv. Akad. Nauk SSSR Ser. Mat., 53:4 (1989),  868–885  mathnet  mathscinet  zmath; Math. USSR-Izv., 35:1 (1990), 203–220 3
1988
21. V. I. Korobov, G. M. Sklyar, “Exact solution of an $n$-dimensional time-optimality problem”, Dokl. Akad. Nauk SSSR, 298:6 (1988),  1304–1308  mathnet  mathscinet  zmath; Dokl. Math., 37:1 (1988), 247–250 1
22. V. I. Korobov, “Regularization of extremal eigenvalues in the symmetric generalized problem”, Zh. Vychisl. Mat. Mat. Fiz., 28:10 (1988),  1443–1448  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 28:5 (1988), 105–108 1
1987
23. V. I. Korobov, “Solution of a design problem for controllable processes with perturbation by means of a controllability function”, Differ. Uravn., 23:2 (1987),  236–244  mathnet  mathscinet  zmath
24. V. I. Korobov, G. M. Sklyar, “Time optimality and the power moment problem”, Mat. Sb. (N.S.), 134(176):2(10) (1987),  186–206  mathnet  mathscinet  zmath; Math. USSR-Sb., 62:1 (1989), 185–206 26
1986
25. V. M. Gavrilyako, V. I. Korobov, G. M. Sklyar, “Design of a limited control of dynamic systems in the entire space with the help of a controllability function”, Avtomat. i Telemekh., 1986, no. 11,  30–36  mathnet  mathscinet  zmath; Autom. Remote Control, 47:11 (1986), 1484–1490
1984
26. V. I. Korobov, G. M. Sklyar, “On the question of the strong stabilizability of contracting systems in Hilbert space”, Differ. Uravn., 20:11 (1984),  1862–1869  mathnet  mathscinet
1982
27. V. I. Korobov, “Solution of the synthesis problem in differential games with the help of the controllability function”, Dokl. Akad. Nauk SSSR, 266:2 (1982),  269–273  mathnet  mathscinet  zmath
1980
28. V. I. Korobov, Nguyen Khoa Shon, “Controllability of linear systems in a Banach space in the presence of constraints on the control. II”, Differ. Uravn., 16:6 (1980),  1010–1022  mathnet  mathscinet
29. V. I. Korobov, Nguyen Khoa Shon, “Controllability of linear systems in a Banach space in the presence of constraints on the control. I”, Differ. Uravn., 16:5 (1980),  806–817  mathnet  mathscinet  zmath
30. V. I. Korobov, Nguyen Khoa Shon, “$\sigma $-controllability of linear autonomous systems in the presence of constraints on the control”, Differ. Uravn., 16:3 (1980),  395–404  mathnet  mathscinet
1979
31. V. I. Korobov, “A solution of the problem of synthesis using a controllability function”, Dokl. Akad. Nauk SSSR, 248:5 (1979),  1051–1055  mathnet  mathscinet  zmath 1
32. V. I. Korobov, R. Rabah, “Exact controllability in a Banach space”, Differ. Uravn., 15:12 (1979),  2142–2150  mathnet  mathscinet  zmath
33. V. I. Korobov, “A geometric criterion of local controllability of dynamical systems in the presence of constraints on the control”, Differ. Uravn., 15:9 (1979),  1592–1599  mathnet  mathscinet  zmath
34. V. I. Korobov, “A general approach to the solution of the bounded control synthesis problem in a controllability problem”, Mat. Sb. (N.S.), 109(151):4(8) (1979),  582–606  mathnet  mathscinet  zmath; Math. USSR-Sb., 37:4 (1980), 535–557  isi 60
1976
35. V. I. Korobov, “Reduction of a controllability problem to a boundary value problem”, Differ. Uravn., 12:7 (1976),  1310–1312  mathnet  mathscinet  zmath 1
1975
36. V. I. Korobov, A. P. Marynych, E. N. Podolskii, “Controllability of linear autonomous systems in the presence of constraints on the control”, Differ. Uravn., 11:11 (1975),  1967–1979  mathnet  mathscinet  zmath
37. V. I. Korobov, “A connection between controllability and stability in control problems”, Differ. Uravn., 11:8 (1975),  1512–1515  mathnet  mathscinet  zmath
1973
38. V. I. Korobov, “Controllability, stability of certain nonlinear systems”, Differ. Uravn., 9:4 (1973),  614–619  mathnet  mathscinet  zmath 2
1971
39. V. I. Korobov, “The continuous dependence of the solution of an optimal control problem with free time on the initial data”, Differ. Uravn., 7:6 (1971),  1120–1123  mathnet  mathscinet  zmath
1970
40. V. I. Korobov, “The sets of attainability, and the controllability of a linear set”, Zh. Vychisl. Mat. Mat. Fiz., 10:4 (1970),  848–856  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 10:4 (1970), 51–61 1
41. V. I. Korobov, “Sets of accessiblity”, Zh. Vychisl. Mat. Mat. Fiz., 10:1 (1970),  224–230  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 10:1 (1970), 308–318 1
1968
42. V. I. Korobov, “The convergence of a variant of the method of dynamic programming for optimal control problems”, Zh. Vychisl. Mat. Mat. Fiz., 8:2 (1968),  429–435  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 8:2 (1968), 260–270
2014
43. V. Bondarenko, M. Chernikov, I. Chueshov, M. Dokuchaev, Yu. Drozd, S. Favorov, V. Gordevskiy, V. Kirichenko, M. Komarnitskiy, V. Korobov, I. Kozhukhov, V. Lysytsia, S. Ovsienko, A. Petravchuk, A. Rutkas, V. Sushchansky, Ya. Sysak, A. Yampolskiy, G. Zholtkevich, A. Zhuchok, Yu. Zhuchok, “Boris Novikov (01.03.1946 – 30.03.2014)”, Algebra Discrete Math., 18:1 (2014),  C–F  mathnet
1991
44. V. I. Korobov, G. M. Sklyar, “Letter to the editors: “Methods for constructing positional controls, and a feasible maximum principle” [Differentsial'nye Uravneniya 26 (1990), no. 11, 1914–1924; MR1092085]”, Differ. Uravn., 27:12 (1991),  2201  mathnet  mathscinet  zmath; Differ. Equ., 27:12 (1991), 1550–1992

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