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Plotnikov, Victor Alexandrovich

Statistics Math-Net.Ru
Total publications: 14
Scientific articles: 14

Number of views:
This page:655
Abstract pages:1936
Full texts:950
Professor
Doctor of physico-mathematical sciences (1981)
Speciality: 01.02.01 (Theoretical mechanics)
Birth date: 05.01.1938
E-mail: ,
Keywords: optimal control; differential inclusions; quasidifferential equations; asymptotic methods.
   
Main publications:
  • Plotnikov.V. A., Plotnikova L. I. Approximated equations: theory and applications to the optimal control // Proceeding of the International conference on Approximation and Optimization (Romania)–ICAOR, Cluj–Napoca, 1997, v. 2, 203–216.
  • Plotnikov V. A., Ivanov R. P., Kitanov N. M. Method of averaging for impulsive differential inclusions // Pliska Stud.Math. Bulgar, 1998, 12, 43–55.

https://www.mathnet.ru/eng/person18002
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/197041

Publications in Math-Net.Ru Citations
1998
1. T. A. Mel'nik, V. A. Plotnikov, “Averaging of quasidifferential equations with fast and slow variables”, Sibirsk. Mat. Zh., 39:5 (1998),  1098–1103  mathnet  mathscinet  zmath; Siberian Math. J., 39:5 (1998), 947–952  isi 2
1997
2. T. A. Mel'nik, V. A. Plotnikov, “A generalization of a theorem of A. N. Tikhonov for quasidifferential equations”, Differ. Uravn., 33:8 (1997),  1030–1034  mathnet  mathscinet; Differ. Equ., 33:8 (1997), 1036–1040
1995
3. V. A. Plotnikov, L. I. Plotnikova, “Averaging of quasi-differential equations in metric spaces”, Differ. Uravn., 31:10 (1995),  1669–1674  mathnet  mathscinet; Differ. Equ., 31:10 (1995), 1633–1638
1992
4. V. A. Plotnikov, Larbani Mussa, “Justification of a partial averaging scheme for systems with slow and fast variables”, Differ. Uravn., 28:3 (1992),  428–432  mathnet  mathscinet; Differ. Equ., 28:3 (1992), 360–364
1989
5. V. A. Plotnikov, O. G. Rudykh, “A scheme for averaging integro-differential inclusions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 5,  78–81  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 33:5 (1989), 129–135
1987
6. V. A. Plotnikov, T. P. Yatsenko, “Asymptotic construction of the domain of attainability of a linear singularly perturbed control system”, Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 7,  73–76  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 31:7 (1987), 95–99 1
1985
7. V. A. Plotnikov, “The averaging method in control problems”, Differ. Uravn., 21:10 (1985),  1713–1717  mathnet  mathscinet
1983
8. V. A. Plotnikov, V. P. Zheltikov, “Averaging in differential inclusions with lag”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 9,  42–45  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 27:9 (1983), 47–50 1
1982
9. V. A. Plotnikov, T. S. Zverkova, “The averaging method for systems of standard type with discontinuous right-hand sides”, Differ. Uravn., 18:6 (1982),  1091–1093  mathnet  mathscinet  zmath
1980
10. V. A. Plotnikov, “Partial averaging of differential inclusions”, Mat. Zametki, 27:6 (1980),  947–952  mathnet  mathscinet  zmath; Math. Notes, 27:6 (1980), 456–459  isi 3
1979
11. V. A. Plotnikov, “Averaging method for differential inclusions and its application to optimal control problems”, Differ. Uravn., 15:8 (1979),  1427–1433  mathnet  mathscinet  zmath
1978
12. V. A. Plotnikov, T. S. Zverkova, “Averaging of boundary value problems in terminal optimal control problems”, Differ. Uravn., 14:8 (1978),  1381–1387  mathnet  mathscinet  zmath
13. V. A. Plotnikov, “The partial averaging method in terminal control problems”, Differ. Uravn., 14:2 (1978),  376–379  mathnet  mathscinet  zmath
1966
14. Yu. A. Klikh, O. F. Makarov, V. A. Plotnikov, “Continuously operating computer search for the initial conditions for the associated system of a time-optimal problem”, Zh. Vychisl. Mat. Mat. Fiz., 6:2 (1966),  386–389  mathnet; U.S.S.R. Comput. Math. Math. Phys., 6:2 (1966), 277–282

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