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Dolgii Yurii Filippovich

Publications in Math-Net.Ru

  1. Decomposition method for finding suboptimal impulse controls of electric drives of manipulation robots

    Bulletin of Irkutsk State University. Series Mathematics, 54 (2025),  3–17
  2. A study of regularization for a degenerate problem of impulsive stabilization in a system with aftereffect

    Trudy Inst. Mat. i Mekh. UrO RAN, 30:1 (2024),  80–99
  3. Optimal control of manipulator

    Bulletin of Irkutsk State University. Series Mathematics, 43 (2023),  3–18
  4. Canonical approximations in impulse stabilization for a system with aftereffect

    Ural Math. J., 9:2 (2023),  77–85
  5. Regularization analysis of a degenerate problem of impulsive stabilization for a system with time delay

    Trudy Inst. Mat. i Mekh. UrO RAN, 28:1 (2022),  74–95
  6. Impulse control of a two-link manipulation robot

    Izv. IMI UdGU, 57 (2021),  77–90
  7. Approximations in the stability problem for linear periodic systems with aftereffect

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 191 (2021),  29–37
  8. Exact solutions of an inverse optimal stabilization problem for systems with aftereffect of neutral type

    Trudy Inst. Mat. i Mekh. UrO RAN, 25:1 (2019),  35–44
  9. Impulse control of the manipulation robot

    Ural Math. J., 5:2 (2019),  13–20
  10. Discrete procedure of optimal stabilization for periodic linear systems of differential equations

    Tambov University Reports. Series: Natural and Technical Sciences, 23:124 (2018),  891–906
  11. Discrete operator Riccati equation in an optimal stabilization problem for a periodic linear system with aftereffect

    Trudy Inst. Mat. i Mekh. UrO RAN, 23:4 (2017),  105–118
  12. The Riccati equation for autonomous linear systems with unbounded aftereffect

    Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016),  129–137
  13. Use of finite-dimensional approximations in a problem of stabilization of periodic systems with aftereffect

    Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 1,  29–45
  14. Exact solutions of an optimal stabilization problem for systems of differential equations with aftereffect

    Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015),  124–135
  15. Ill-posed problem of reconstruction of the population size in the hutchinson-wright equation

    Ural Math. J., 1:1 (2015),  30–44
  16. Linear-quadratic control problem for systems of differential equations with aftereffect

    Trudy Inst. Mat. i Mekh. UrO RAN, 20:3 (2014),  86–97
  17. Asymptotics of regularized solutions of an ill-posed Cauchy problem for an autonomous linear system of differential equations with commensurable delays

    Trudy Inst. Mat. i Mekh. UrO RAN, 19:4 (2013),  107–118
  18. Computation of Lyapunov–Krasovskii quadratic functionals for linear autonomous systems with aftereffect

    Trudy Inst. Mat. i Mekh. UrO RAN, 19:4 (2013),  95–106
  19. Optimal stabilization of linear periodic finite-dimensional systems of differential equations with aftereffect

    Trudy Inst. Mat. i Mekh. UrO RAN, 19:1 (2013),  87–98
  20. Linear functional differential equations in space with unindefinite metric

    Izv. IMI UdGU, 2012, no. 1(39),  48–49
  21. Error estimate for approximations of an optimal stabilizing control in a delay system

    Trudy Inst. Mat. i Mekh. UrO RAN, 18:2 (2012),  38–47
  22. Approximating characteristic equations for autonomous systems of differential equations with aftereffect

    Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 1,  10–23
  23. Canonical approximations in task of optimal stabilization of autonomous systems with aftereffect

    Trudy Inst. Mat. i Mekh. UrO RAN, 17:2 (2011),  20–34
  24. Ill-posed problem of reconstructing the population magnitude in Hutchinsons mathematical model

    Trudy Inst. Mat. i Mekh. UrO RAN, 17:1 (2011),  70–84
  25. Liapunov–Krasovskii quadratic functionals for linear autonomous systems with aftereffect

    Trudy Inst. Mat. i Mekh. UrO RAN, 16:5 (2010),  48–56
  26. Construction of the approached characteristic equations for periodic systems with aftereffect and determinants of perturbation

    Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2008, no. 2,  42–43
  27. Stabilization of linear autonomous systems of differential equations with distributed delay

    Avtomat. i Telemekh., 2007, no. 10,  92–105
  28. Singular numbers of the monodromy operator and sufficient conditions of the asymptotic stability of periodic system of differential equations with fixed delay

    Trudy Inst. Mat. i Mekh. UrO RAN, 13:2 (2007),  66–79
  29. Construction of the approached characteristic equations for time-invariant systems of differential equations with aftereffect

    Izv. IMI UdGU, 2006, no. 3(37),  33–34
  30. Application of self-adjoint boundary value problems to investigation of stability of periodic delay systems

    Trudy Inst. Mat. i Mekh. UrO RAN, 12:2 (2006),  78–87
  31. Periodic Oscillations in Conservative Systems with a Small Delay

    Differ. Uravn., 41:10 (2005),  1299–1309
  32. Достаточные условия экспоненциальной устойчивости решений систем дифференциальных уравнений с запаздыванием

    Matem. Mod. Kraev. Zadachi, 3 (2005),  86–89
  33. A branching method for studying stability of a solution to a delay differential equation

    Sibirsk. Mat. Zh., 46:6 (2005),  1288–1301
  34. Characteristic equation in the problem of asymptotic stability in periodic systems with aftereffect

    Trudy Inst. Mat. i Mekh. UrO RAN, 11:1 (2005),  85–96
  35. The general form of solution of a linear nonstationary system of functional-difference equations

    Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 7,  27–34
  36. Conditions for a monodromy operator being finite-dimensional for periodic systems with aftereffect

    Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 4,  27–39
  37. A delay effect upon periodic oscillations in a conservative system

    Trudy Inst. Mat. i Mekh. UrO RAN, 9:2 (2003),  21–40
  38. Stability of periodic functional differential equations

    Izv. IMI UdGU, 2002, no. 2(25),  43–46
  39. Stability of a Periodic Solution of a Nonlinear Delay Differential Equation

    Differ. Uravn., 37:5 (2001),  592–600
  40. Periodic Solutions of a System of Linear Difference Equations with Continuous Argument

    Differ. Uravn., 37:4 (2001),  538–546
  41. On the stability of a periodic system of differential equations with delay

    Differ. Uravn., 35:10 (1999),  1330–1336
  42. Instability of a periodic system with delay

    Differ. Uravn., 34:4 (1998),  465–470
  43. On the asymptotics of the eigenvalues of the monodromy operator of a differential equation of neutral type with periodic coefficients

    Differ. Uravn., 32:11 (1996),  1558–1560
  44. Representation of the monodromy operator in the form of the sum of a finite-dimensional operator and a Volterra operator

    Dokl. Akad. Nauk, 334:2 (1994),  138–140
  45. Asymptotics of eigenvalues of the monodromy operator for periodic differential equations with delay

    Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 11,  20–28
  46. Backward continuation of solutions of a linear differential equation with delay as an ill-posed problem

    Differ. Uravn., 29:8 (1993),  1317–1323
  47. Asymptotics of the eigenvalues of the monodromy operator for periodic systems of differential equations with deviating argument of neutral type

    Differ. Uravn., 27:9 (1991),  1538–1543
  48. On the method of Lyapunov functionals for systems with aftereffect

    Differ. Uravn., 27:8 (1991),  1313–1318
  49. Spectral properties of the operator of inner superposition

    Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 11,  66–69
  50. Properties of the monodromy operator of a periodic system of differential equations of neutral type with deviating argument

    Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 9,  23–29
  51. An estimate of exponential stability of systems with delay by the method of approximating systems

    Differ. Uravn., 21:12 (1985),  2046–2052
  52. Stability of an equation of neutral type with variable delay

    Differ. Uravn., 21:9 (1985),  1480–1489
  53. The construction of the characteristic equation for a system of differential equations with lag

    Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 3,  9–19
  54. Stability of a certain system of differential equations with periodic lag

    Differ. Uravn., 9:3 (1973),  560–562

  55. On the 90th birthday of Sergei Nikanorovich Shimanov

    Trudy Inst. Mat. i Mekh. UrO RAN, 19:1 (2013),  5–11

© Steklov Math. Inst. of RAS, 2026