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Lotov Alexander Vladimirovich

Publications in Math-Net.Ru

  1. Application of Pareto frontier in searching for compromise rules of Baikal lake level control

    Artificial Intelligence and Decision Making, 2022, no. 3,  72–87
  2. Extended launch pad method for the Pareto frontier approximation in multiextremal multiobjective optimization problems

    Zh. Vychisl. Mat. Mat. Fiz., 61:10 (2021),  1734–1744
  3. Launch pad method in multiextremal multiobjective optimization problems

    Zh. Vychisl. Mat. Mat. Fiz., 59:12 (2019),  2111–2128
  4. Simple efficient hybridization of classic global optimization and genetic algorithms for multiobjective optimization

    Zh. Vychisl. Mat. Mat. Fiz., 59:10 (2019),  1666–1680
  5. Multi-criteria decision making procedure with an inherited set of starting points of local optimization of scalar functions of criteria

    Artificial Intelligence and Decision Making, 2018, no. 3,  100–111
  6. New external estimate for the reachable set of a nonlinear multistep dynamic system

    Zh. Vychisl. Mat. Mat. Fiz., 58:2 (2018),  209–219
  7. Decision support for strategic decision making on water supply of the Lower Volga River based on Pareto frontier visualization

    Artificial Intelligence and Decision Making, 2017, no. 1,  84–97
  8. Decomposition of the problem of approximating the Edgeworth–Pareto hull

    Zh. Vychisl. Mat. Mat. Fiz., 55:10 (2015),  1681–1693
  9. 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
  10. Comparison of two Pareto frontier approximations

    Zh. Vychisl. Mat. Mat. Fiz., 54:9 (2014),  1455–1464
  11. 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
  12. Pareto frontier visualization in the development of hydropowerplant release rules

    Artificial Intelligence and Decision Making, 2013, no. 1,  70–83
  13. Iterative method for constructing coverings of the multidimensional unit sphere

    Zh. Vychisl. Mat. Mat. Fiz., 53:2 (2013),  181–194
  14. 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
  15. Reasonable goals method in multi-objective stochastic choice problem

    Artificial Intelligence and Decision Making, 2010, no. 3,  79–88
  16. Visualization of the moving Pareto frontier in DSS

    Artificial Intelligence and Decision Making, 2008, no. 3,  28–40
  17. The modified method of refined bounds for polyhedral approximation of convex polytopes

    Zh. Vychisl. Mat. Mat. Fiz., 48:6 (2008),  990–998
  18. 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
  19. Hybrid adaptive methods for approximating a nonconvex multidimensional Pareto frontier

    Zh. Vychisl. Mat. Mat. Fiz., 46:11 (2006),  2009–2023
  20. Visualization of the Pareto set in the choice multidimensional problem

    Dokl. Akad. Nauk, 335:5 (1994),  567–569
  21. External estimates and construction of attainability sets for controlled systems

    Zh. Vychisl. Mat. Mat. Fiz., 30:4 (1990),  483–490
  22. 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
  23. Stability and approximation of generalized attainability sets

    Dokl. Akad. Nauk SSSR, 284:1 (1985),  66–69
  24. 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
  25. 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
  26. Aggregation as an approximation of generalized reachable sets

    Dokl. Akad. Nauk SSSR, 265:6 (1982),  1334–1337
  27. 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
  28. On the concept of generalized sets of accessibility and their construction for linear controlled systems

    Dokl. Akad. Nauk SSSR, 250:5 (1980),  1081–1083
  29. 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
  30. An algorithm for analyzing the independence of inequalities in a linear system

    Zh. Vychisl. Mat. Mat. Fiz., 20:3 (1980),  562–572
  31. 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
  32. 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
  33. 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
  34. 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
  35. 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
  36. Numerical method of constructing attainability sets for a linear control system

    Zh. Vychisl. Mat. Mat. Fiz., 12:3 (1972),  785–788

  37. 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

© Steklov Math. Inst. of RAS, 2024