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Gusev Mikhail Ivanovich

Publications in Math-Net.Ru

  1. On smoothness of the boundary of a reachable set under integral control constraints

    Trudy Inst. Mat. i Mekh. UrO RAN, 31:2 (2025),  81–93
  2. On some properties of reachable sets for nonlinear systems with control constraints in $L_p$

    Trudy Inst. Mat. i Mekh. UrO RAN, 30:3 (2024),  99–112
  3. Computing the reachable set bounda for an abstract control system: revisited

    Ural Math. J., 9:2 (2023),  99–108
  4. On a local synthesis problem for nonlinear systems with integral constraints

    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 32:2 (2022),  171–186
  5. On the Method of Penalty Functions for Control Systems with State Constraints under Integral Constraints on the Control

    Trudy Inst. Mat. i Mekh. UrO RAN, 27:3 (2021),  59–70
  6. Asymptotic behavior of small-time reachable sets of nonlinear systems with isoperimetric constraints

    Trudy Inst. Mat. i Mekh. UrO RAN, 26:1 (2020),  89–101
  7. The limits of applicability of the linearization method in calculating small-time reachable sets

    Ural Math. J., 6:1 (2020),  71–83
  8. Asymptotic Behavior of Reachable Sets on Small Time Intervals

    Trudy Inst. Mat. i Mekh. UrO RAN, 25:3 (2019),  86–99
  9. On the geometry of reachable sets for control systems with isoperimetric constraints

    Trudy Inst. Mat. i Mekh. UrO RAN, 24:1 (2018),  63–75
  10. On extremal properties of the boundary points of reachable sets for control systems with integral constraints

    Trudy Inst. Mat. i Mekh. UrO RAN, 23:1 (2017),  103–115
  11. An algorithm for computing boundary points of reachable sets of control systems under integral constraints

    Ural Math. J., 3:1 (2017),  44–51
  12. On the existence of a Lipschitz feedback control in a control problem with state constraints

    Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016),  122–128
  13. A numerical method for solving linear-quadratic control problems with constraints

    Ural Math. J., 2:2 (2016),  108–116
  14. On the attainability problem under state constraints with piecewise smooth boundary

    Trudy Inst. Mat. i Mekh. UrO RAN, 21:2 (2015),  50–58
  15. On elimination of state constraints in the construction of reachable sets

    Trudy Inst. Mat. i Mekh. UrO RAN, 20:4 (2014),  106–115
  16. Internal approximations of reachable sets of control systems with state constraints

    Trudy Inst. Mat. i Mekh. UrO RAN, 19:4 (2013),  73–88
  17. On the penalty function method in the problem of constructing reachable sets for control systems with state constraints

    Trudy Inst. Mat. i Mekh. UrO RAN, 19:1 (2013),  81–86
  18. External estimates of the reachability sets of nonlinear controlled systems

    Avtomat. i Telemekh., 2012, no. 3,  39–51
  19. Dynamic programming method in construction of reachable sets for nonlinear control systems

    Izv. IMI UdGU, 2012, no. 1(39),  42–43
  20. On external estimates for reachable sets of nonlinear control systems

    Trudy Inst. Mat. i Mekh. UrO RAN, 17:1 (2011),  60–69
  21. Estimates of reachable sets of multidimensional control systems with nonlinear interconnections

    Trudy Inst. Mat. i Mekh. UrO RAN, 15:4 (2009),  82–94
  22. Experiment design in guaranteed identification

    Avtomat. i Telemekh., 2007, no. 11,  61–75
  23. On control of operating practices of oil production complexes

    Izv. IMI UdGU, 2006, no. 3(37),  25–26
  24. Error bounds for attainability sets of control systems with phase constraints

    Trudy Inst. Mat. i Mekh. UrO RAN, 12:2 (2006),  64–77
  25. Optimal inputs in guaranteed identification problems

    Trudy Inst. Mat. i Mekh. UrO RAN, 11:1 (2005),  74–84
  26. On stability of information domains in guaranteed estimation problem

    Trudy Inst. Mat. i Mekh. UrO RAN, 6:1 (2000),  55–71
  27. On the structure of optimal minimax estimates in guaranteed estimation problems

    Dokl. Akad. Nauk, 322:5 (1992),  832–835
  28. Optimization of measurements in a problem on the estimation of the state of a dynamical system with geometric constraints on noise

    Differ. Uravn., 24:11 (1988),  1862–1870
  29. On equilibrium situations in multicriteria game problems

    Dokl. Akad. Nauk SSSR, 229:6 (1976),  1295–1298
  30. Vector optimization of linear systems

    Dokl. Akad. Nauk SSSR, 207:1 (1972),  21–24
  31. On the optimization of control systems in the presence of constraints. I, II

    Differ. Uravn., 7:10 (1971),  1789–1800
  32. On the optimization of control systems in the presence of constraints. I, II

    Differ. Uravn., 7:9 (1971),  1591–1602

  33. Aleksandr Borisovich Kurzhanskii (on the occasion of his 70th birthday)

    Trudy Inst. Mat. i Mekh. UrO RAN, 15:4 (2009),  5–9
  34. Aleksandr Borisovich Kurzhanskiǐ (on the occasion of his sixtieth birthday)

    Differ. Uravn., 35:11 (1999),  1443–1451


© Steklov Math. Inst. of RAS, 2025