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Lotov, Alexander Vladimirovich

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Total publications: 30
Scientific articles: 29
Presentations: 7

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Lotov, Alexander Vladimirovich
Professor
Doctor of physico-mathematical sciences (1986)
Speciality: 01.01.09 (Discrete mathematics and mathematical cybernetics)
Birth date: 12.04.1946
E-mail: ,
Keywords: multicriterion optomization, approximation of multi-dimensional bodies, differential inclusions.
UDC: 517.977.55, 519, 519.858, 519.658, 519.626
MSC: 90B50, 90C29

Subject:

multi-objective optimization, reachable sets of dynamic systems, approximation of multi-dimensional sets.

   
Main publications:
  1. Ju.P. Ivanilov, A.V. Lotov, Mathematical Models in Economics, Nauka, Moscow, 1979
  2. A.V. Lotov, V.A. Bushenkov, G.K.Kamenev, O.L. Chernykh, Computer and Tradeoff Search. Feasible Goals Method, Cybernetics, Nauka, Moscow, 1997
  3. A.V. Lotov, V.A. Bushenkov, G.K. Kamenev, Interactive Decision Maps. Approximation and Visualization of the Pareto Frontier, Applied Optimization, 89, Kluwer Academic Publishers, Boston, 2004
  4. A.V. Lotov, I.I. Pospelova, Multi-objective decision problems, Maks Press, Moscow, 2008
  5. A.Lotov, “An estimate of solution set perturbations for a system of linear inequalities”, Optimization Methods and Software, 6:1 (1995), 1–24

http://www.mathnet.ru/eng/person17835
https://ru.wikipedia.org/wiki/
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/216384
https://elibrary.ru/author_items.asp?authorid=1906

Publications in Math-Net.Ru
2019
1. A. V. Lotov, A. I. Ryabikov, “Launch pad method in multiextremal multiobjective optimization problems”, Zh. Vychisl. Mat. Mat. Fiz., 59:12 (2019),  2111–2128  mathnet  elib; Comput. Math. Math. Phys., 59:12 (2019), 2041–2056  isi  scopus
2. A. V. Lotov, A. I. Ryabikov, “Simple efficient hybridization of classic global optimization and genetic algorithms for multiobjective optimization”, Zh. Vychisl. Mat. Mat. Fiz., 59:10 (2019),  1666–1680  mathnet  elib; Comput. Math. Math. Phys., 59:10 (2019), 1613–1625  isi  scopus
2018
3. A. V. Lotov, “New external estimate for the reachable set of a nonlinear multistep dynamic system”, Zh. Vychisl. Mat. Mat. Fiz., 58:2 (2018),  209–219  mathnet  elib; Comput. Math. Math. Phys., 58:2 (2018), 196–206  isi  scopus
2015
4. A. V. Lotov, “Decomposition of the problem of approximating the Edgeworth–Pareto hull”, Zh. Vychisl. Mat. Mat. Fiz., 55:10 (2015),  1681–1693  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 55:10 (2015), 1653–1664  isi  elib  scopus
2014
5. A. V. Lotov, A. I. Ryabikov, “Multiobjective feedback control and its application to the construction of control rules for a cascade of hydroelectric power stations”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:4 (2014),  187–203  mathnet  mathscinet  elib
6. V. E. Berezkin, A. V. Lotov, “Comparison of two Pareto frontier approximations”, Zh. Vychisl. Mat. Mat. Fiz., 54:9 (2014),  1455–1464  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 54:9 (2014), 1402–1410  isi  elib  scopus
7. V. E. Berezkin, A. V. Lotov, E. A. Lotova, “Study of hybrid methods for approximating the Edgeworth–Pareto hull in nonlinear multicriteria optimization problems”, Zh. Vychisl. Mat. Mat. Fiz., 54:6 (2014),  905–918  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 54:6 (2014), 919–930  isi  elib  scopus
2013
8. G. K. Kamenev, A. V. Lotov, T. S. Mayskaya, “Iterative method for constructing coverings of the multidimensional unit sphere”, Zh. Vychisl. Mat. Mat. Fiz., 53:2 (2013),  181–194  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 53:2 (2013), 131–143  isi  elib  scopus
2012
9. A. V. Lotov, T. S. Maiskaya, “Nonadaptive methods for polyhedral approximation of the Edgeworth–Pareto hull using suboptimal coverings on the direction sphere”, Zh. Vychisl. Mat. Mat. Fiz., 52:1 (2012),  35–47  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 52:1 (2012), 31–42  isi  elib  scopus
2008
10. A. V. Lotov, A. I. Pospelov, “The modified method of refined bounds for polyhedral approximation of convex polytopes”, Zh. Vychisl. Mat. Mat. Fiz., 48:6 (2008),  990–998  mathnet  zmath; Comput. Math. Math. Phys., 48:6 (2008), 933–941  isi  scopus
2007
11. N. B. Brusnikina, A. V. Lotov, “Guaranteed-accuracy approximation of reachable sets for a linear dynamic system subject to impulse actions”, Zh. Vychisl. Mat. Mat. Fiz., 47:11 (2007),  1855–1864  mathnet  mathscinet; Comput. Math. Math. Phys., 47:11 (2007), 1779–1787  scopus
2006
12. V. E. Berezkin, G. K. Kamenev, A. V. Lotov, “Hybrid adaptive methods for approximating a nonconvex multidimensional Pareto frontier”, Zh. Vychisl. Mat. Mat. Fiz., 46:11 (2006),  2009–2023  mathnet  mathscinet; Comput. Math. Math. Phys., 46:11 (2006), 1918–1931  scopus
1994
13. V. A. Bushenkov, D. V. Gusev, G. K. Kamenev, A. V. Lotov, O. L. Chernykh, “Visualization of the Pareto set in the choice multidimensional problem”, Dokl. Akad. Nauk, 335:5 (1994),  567–569  mathnet  zmath
1990
14. D. L. Kondratiev, A. V. Lotov, “External estimates and construction of attainability sets for controlled systems”, Zh. Vychisl. Mat. Mat. Fiz., 30:4 (1990),  483–490  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 30:2 (1990), 93–97
1986
15. A. V. Lotov, “Estimate of the effect of round-off errors on the accuracy of elimination of variables in systems of linear inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 26:3 (1986),  323–331  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 26:2 (1986), 1–6
1985
16. A. V. Lotov, “Stability and approximation of generalized attainability sets”, Dokl. Akad. Nauk SSSR, 284:1 (1985),  66–69  mathnet  mathscinet
17. A. V. Lotov, “Estimation of the stability of the solution set of systems of linear equalities and inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 25:3 (1985),  451–455  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 25:2 (1985), 83–86
1984
18. A. V. Lotov, “Estimation of stability and the conditioning number of the set of solutions of a system of linear inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 24:12 (1984),  1763–1774  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 24:6 (1984), 104–111
1982
19. A. V. Lotov, “Aggregation as an approximation of generalized reachable sets”, Dokl. Akad. Nauk SSSR, 265:6 (1982),  1334–1337  mathnet
1981
20. A. V. Lotov, “On the concept and construction of generalized accessibility sets for linear controllable systems described by partial differential equations”, Dokl. Akad. Nauk SSSR, 261:2 (1981),  297–300  mathnet  mathscinet  zmath
1980
21. A. V. Lotov, “On the concept of generalized sets of accessibility and their construction for linear controlled systems”, Dokl. Akad. Nauk SSSR, 250:5 (1980),  1081–1083  mathnet  mathscinet  zmath
22. V. A. Bushenkov, A. V. Lotov, “Methods and algorithms for analysis of linear systems of the construction of generalized attainability sets”, Zh. Vychisl. Mat. Mat. Fiz., 20:5 (1980),  1130–1141  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 20:5 (1980), 38–49
23. V. A. Bushenkov, A. V. Lotov, “An algorithm for analyzing the independence of inequalities in a linear system”, Zh. Vychisl. Mat. Mat. Fiz., 20:3 (1980),  562–572  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 20:3 (1980), 14–24
1979
24. A. V. Lotov, “Convergence of methods of numerical approximation of the sets of attainability for linear differential systems with convex phase constraints”, Zh. Vychisl. Mat. Mat. Fiz., 19:1 (1979),  44–55  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 19:1 (1979), 44–56
1978
25. A. V. Lotov, “Uniform approximation of the attainability set for a differential system by attainability sets for its multistep analogues”, Zh. Vychisl. Mat. Mat. Fiz., 18:1 (1978),  233–235  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 18:1 (1978), 226–229
1975
26. A. V. Lotov, “A numerical method for constructing sets of attainability for linear controlled systems with phase constraints”, Zh. Vychisl. Mat. Mat. Fiz., 15:1 (1975),  67–78  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 15:1 (1975), 63–74
1973
27. A. V. Lotov, “A numerical method of investigation of the continuity of the minimal time in linear systems, and a solution of the Cauchy problem for Bellman's equation”, Zh. Vychisl. Mat. Mat. Fiz., 13:5 (1973),  1315–1319  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 13:5 (1973), 265–271
1972
28. A. V. Lotov, “A numerical method of solving the Cauchy problem for the Bellman equation in the time-optimality problem for a linear system”, Zh. Vychisl. Mat. Mat. Fiz., 12:4 (1972),  1035–1037  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 12:4 (1972), 240–244
29. A. V. Lotov, “Numerical method of constructing attainability sets for a linear control system”, Zh. Vychisl. Mat. Mat. Fiz., 12:3 (1972),  785–788  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 12:3 (1972), 279–283

1986
30. A. V. Lotov, “Correction: “Estimation of stability and the conditioning number of the set of solutions of a system of linear inequalities””, Zh. Vychisl. Mat. Mat. Fiz., 26:7 (1986),  962  mathnet  zmath

Presentations in Math-Net.Ru
1. Принятие решений в экологических проблемах
A. V. Lotov
Scientific conference "Modeling the Co-evolution of Nature and Society: problems and experience" devoted to the 100-th anniversary of N. N. Moiseev
November 7, 2017 17:00   
2. Компьютерная поддержка выбора стратегических эколого-экономических решений с использованием визуализации границы Парето
A. V. Lotov
International Conference on Applied Mathematics and Computer Science dedicated to the 60th Anniversary of Dorodnicyn Computing Centre of RAS
December 9, 2015 15:50   
3. Визуализация границы Парето в задачах поиска сбалансированных экологических решений
A. V. Lotov
VIII Всероссийская научная конференция с международным участием «Математическое моделирование развивающейся экономики, экологии и технологий (ЭКОМОД-2014)», посвященная 80-летию академика А. А. Петрова (1934–2011) и 100-летию академика Г. С. Поспелова (1914–1998).
October 23, 2014 10:00   
4. Выступления с воспоминаниями об академике А. А. Петрове
A. V. Lotov
VIII Всероссийская научная конференция с международным участием «Математическое моделирование развивающейся экономики, экологии и технологий (ЭКОМОД-2014)», посвященная 80-летию академика А. А. Петрова (1934–2011) и 100-летию академика Г. С. Поспелова (1914–1998).
October 21, 2014 11:45   
5. Научное наследие академика А. А. Петрова
I. G. Pospelov, A. V. Lotov, A. A. Shananin
VIII Всероссийская научная конференция с международным участием «Математическое моделирование развивающейся экономики, экологии и технологий (ЭКОМОД-2014)», посвященная 80-летию академика А. А. Петрова (1934–2011) и 100-летию академика Г. С. Поспелова (1914–1998).
October 21, 2014 11:05   
6. Визуализация границы Парето в задачах многокритериальной оптимизации. Часть 2
A. V. Lotov
Mathematical Seminar
March 5, 2013 18:30   
7. Визуализация границы Парето в задачах многокритериальной оптимизации. Часть 1
A. V. Lotov
Mathematical Seminar
February 26, 2013 18:30   

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