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Gabasov Rafail

Publications in Math-Net.Ru

  1. On the problem of optimal control of dynamic systems in real time

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 183 (2020),  98–112
  2. Some aspects of real-time control of linear stationary dynamic systems

    Bulletin of Irkutsk State University. Series Mathematics, 27 (2019),  15–27
  3. On asymptotic optimization methods for quasilinear control systems

    Trudy Inst. Mat. i Mekh. UrO RAN, 25:3 (2019),  62–72
  4. Application of linear programming techniques for controlling linear dynamic plants in real time

    Zh. Vychisl. Mat. Mat. Fiz., 56:3 (2016),  394–408
  5. Optimal real-time control of multidimensional dynamic plant

    Avtomat. i Telemekh., 2015, no. 1,  121–135
  6. On the optimal synthesis problem for control systems

    Bulletin of Irkutsk State University. Series Mathematics, 14 (2015),  55–63
  7. Observation of linear systems on the principle of disclosable loop

    PFMT, 2014, no. 4(21),  60–69
  8. Real-time optimal control of a special distributed parameter system

    Zh. Vychisl. Mat. Mat. Fiz., 54:12 (2014),  1839–1850
  9. Optimal control of a dynamic system with multiple uncertainty in the initial state as based on imperfect measurements of input and output signals

    Zh. Vychisl. Mat. Mat. Fiz., 52:7 (2012),  1215–1230
  10. Optimal control of an object when it is aimed at a mobile target under uncertainty

    Avtomat. i Telemekh., 2011, no. 3,  15–35
  11. Optimal control based on a preposteriori estimates of set-membership uncertainty

    Avtomat. i Telemekh., 2011, no. 1,  80–94
  12. On optimal control methods to dynamical object at its approaching to a mobile aim

    Bulletin of Irkutsk State University. Series Mathematics, 4:2 (2011),  60–74
  13. Decentralized optimal control of dynamical systems under uncertainty

    Zh. Vychisl. Mat. Mat. Fiz., 51:7 (2011),  1209–1227
  14. Optimal control problem of a thermal process in the rod under uncertainties

    PFMT, 2010, no. 2(3),  34–39
  15. Optimal control problems with moving targets

    Trudy Inst. Mat. i Mekh. UrO RAN, 16:5 (2010),  16–21
  16. Optimal preposterior observation of dynamic systems

    Avtomat. i Telemekh., 2009, no. 8,  70–83
  17. Optimal control under permanent disturbances

    Trudy Inst. Mat. i Mekh. UrO RAN, 15:4 (2009),  52–68
  18. Optimal control of linear systems under uncertainty

    Trudy Inst. Mat. i Mekh. UrO RAN, 15:3 (2009),  56–72
  19. Optimal discrete-pulse control of linear systems

    Avtomat. i Telemekh., 2008, no. 3,  103–125
  20. Constructing open-loop and closed-loop solutions of linear-quadratic optimal control problems

    Zh. Vychisl. Mat. Mat. Fiz., 48:10 (2008),  1748–1779
  21. Decentralized optimal control of a group of dynamical objects

    Zh. Vychisl. Mat. Mat. Fiz., 48:4 (2008),  593–609
  22. Optimal control of the delay linear systems with allowance for the terminal state constraints

    Avtomat. i Telemekh., 2007, no. 12,  3–20
  23. Parallelization of computations in the optimal control of large dynamical systems

    Izv. Vyssh. Uchebn. Zaved. Mat., 2006, no. 12,  3–20
  24. Optimal guaranteed control of delay systems

    Trudy Inst. Mat. i Mekh. UrO RAN, 12:2 (2006),  27–46
  25. Real-time calculation of the current state estimates for a class of delay systems

    Zh. Vychisl. Mat. Mat. Fiz., 46:11 (2006),  1972–1986
  26. Real-time calculation of current optimal feedbacks for a delay system

    Zh. Vychisl. Mat. Mat. Fiz., 46:10 (2006),  1744–1757
  27. Calculating an optimal program and an optimal control in a linear problem with a state constraint

    Zh. Vychisl. Mat. Mat. Fiz., 45:12 (2005),  2112–2130
  28. Numerical optimization of time-dependent multidimensional systems under polyhedral constraints

    Zh. Vychisl. Mat. Mat. Fiz., 45:4 (2005),  617–636
  29. Optimal control by dynamic controllers

    Avtomat. i Telemekh., 2004, no. 5,  8–28
  30. A programmed and a positional solution of a terminal linearly convex optimal control problem

    Izv. Vyssh. Uchebn. Zaved. Mat., 2004, no. 12,  3–16
  31. Optimal control of multidimensional systems by inaccurate measurements of their output signals

    Trudy Inst. Mat. i Mekh. UrO RAN, 10:2 (2004),  35–57
  32. The indirect optimal control of dynamical systems

    Zh. Vychisl. Mat. Mat. Fiz., 44:3 (2004),  444–466
  33. The construction of optimal feedback from mathematical models with uncertainty

    Zh. Vychisl. Mat. Mat. Fiz., 44:2 (2004),  265–286
  34. Design of Feedback for Systems Executing a Given Motion

    Avtomat. i Telemekh., 2003, no. 8,  26–39
  35. Design of Optimal Feedbacks in the Class of Inertial Controls

    Avtomat. i Telemekh., 2003, no. 2,  22–49
  36. Optimization of dynamical systems in a class of discrete controls of finite degree

    Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 12,  3–30
  37. Optimization of the Multidimensional Control Systems with Parallelepiped Constraints

    Avtomat. i Telemekh., 2002, no. 3,  3–26
  38. Stabilization of systems with delays by optimal control methods

    Izv. Vyssh. Uchebn. Zaved. Mat., 2002, no. 12,  44–54
  39. Optimal control of nonlinear systems

    Zh. Vychisl. Mat. Mat. Fiz., 42:7 (2002),  969–995
  40. The Classical Regulation Problem: Its Solution by Optimal Control Methods

    Avtomat. i Telemekh., 2001, no. 6,  18–29
  41. On the problem of the synthesis of optimal systems

    Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 12,  10–20
  42. Numerical methods for open loop and closed loop optimization of piecewise linear systems

    Zh. Vychisl. Mat. Mat. Fiz., 41:11 (2001),  1658–1674
  43. Algorithms for open-loop and closed-loop optimization of control systems with intermediate state contraints

    Zh. Vychisl. Mat. Mat. Fiz., 41:10 (2001),  1485–1504
  44. Numerical methods for open-loop and closed-loop optimization of linear control systems

    Zh. Vychisl. Mat. Mat. Fiz., 40:6 (2000),  838–859
  45. Design of an optimal policy for an industrial-financial model of a firm. II. Programmed and positional solutions

    Avtomat. i Telemekh., 1998, no. 10,  95–112
  46. Design of an optimal policy for an industrial-financial model of a firm. I. Construction of routes

    Avtomat. i Telemekh., 1998, no. 9,  100–117
  47. Positional solution of a linear problem of optimal hierarchical control

    Avtomat. i Telemekh., 1998, no. 2,  3–15
  48. Synthesis of optimal controls of state feedback type in a linear guidance problem

    Differ. Uravn., 34:1 (1998),  7–17
  49. An adaptive method for solving $l_1$-extremum value problems

    Zh. Vychisl. Mat. Mat. Fiz., 38:9 (1998),  1461–1472
  50. A method for constructing the local points of the Nash equilibrium in a linear game problem

    Zh. Vychisl. Mat. Mat. Fiz., 38:6 (1998),  912–917
  51. Control Design in a Linear-Quadratic Problem of Optimal Control

    Avtomat. i Telemekh., 1997, no. 9,  3–14
  52. Synthesis of the Optimal Feedback for Systems with Internal Constraints on the Control. II. An Algorithm for the Operation of an Optimal Controller

    Avtomat. i Telemekh., 1997, no. 3,  20–30
  53. Synthesis of Optimal Feedback for Systems with Internal Constraints on the Control. I. Optimal Feedback and Defining Equations for an Optimal Controller

    Avtomat. i Telemekh., 1997, no. 2,  18–26
  54. Closed-Loop State Feedback for Optimization of Uncertain Control Systems. II. Multiply Closed Feedback

    Avtomat. i Telemekh., 1996, no. 8,  90–99
  55. Subtended Feedback with Respect to State for Optimization of Uncertain Control Systems. I. Single Loop

    Avtomat. i Telemekh., 1996, no. 7,  121–130
  56. Stabilization of Dynamic Systems under the Presence of Delays in the Feedback Loop

    Avtomat. i Telemekh., 1996, no. 6,  31–39
  57. Optimal feedback based on a mathematical model with test perturbations

    Dokl. Akad. Nauk, 349:3 (1996),  313–315
  58. Closable feedback for guaranteed optimization of uncertain control systems

    Dokl. Akad. Nauk, 347:2 (1996),  180–183
  59. On a constructive theory of the optimal observation of dynamical systems

    Dokl. Akad. Nauk, 345:3 (1995),  316–319
  60. Synthesis of optimal controls for dynamic systems with incomplete and uncertain information about their states

    Trudy Mat. Inst. Steklov., 211 (1995),  140–152
  61. The solution of non-stationary problems of linear programming

    Zh. Vychisl. Mat. Mat. Fiz., 35:2 (1995),  293–302
  62. An optimal damper for dynamical systems

    Avtomat. i Telemekh., 1994, no. 5,  3–12
  63. Optimal positional control of a group of plants

    Avtomat. i Telemekh., 1994, no. 2,  23–31
  64. Optimal positional observation of linear systems

    Dokl. Akad. Nauk, 339:4 (1994),  461–464
  65. Time-optimal positional control of linear time-dependent systems

    Dokl. Akad. Nauk, 337:4 (1994),  460–462
  66. Piecewise-linear functions of several variables; their modelling, local behaviour and extrema

    Zh. Vychisl. Mat. Mat. Fiz., 34:5 (1994),  658–668
  67. A controller for the sliding optimization of dynamic control systems

    Zh. Vychisl. Mat. Mat. Fiz., 34:4 (1994),  617–622
  68. Optimal impulse control synthesis for a linear dynamical system

    Avtomat. i Telemekh., 1993, no. 6,  66–76
  69. An algorithm for the optimization in real time of a partially defined linear control system. II. Constantly acting perturbations

    Avtomat. i Telemekh., 1993, no. 5,  19–27
  70. An algorithm for the optimization in real time of a partially defined linear control system

    Avtomat. i Telemekh., 1993, no. 4,  34–43
  71. Synthesis of an optimal control system with piecewise linear input

    Avtomat. i Telemekh., 1993, no. 3,  71–79
  72. Network models and nonlinear programming methods

    Dokl. Akad. Nauk, 332:4 (1993),  405–407
  73. An asymptotically optimal controller for a quasilinear system

    Dokl. Akad. Nauk, 332:2 (1993),  138–141
  74. Optimal feedback for a discrete system with disturbance compensation. II. Synthesis of an optimal regulator

    Avtomat. i Telemekh., 1992, no. 4,  33–39
  75. Optimal feedback for a discrete system with disturbance compensation. I. Synthesis of an optimal estimator

    Avtomat. i Telemekh., 1992, no. 1,  52–62
  76. An optimal regulator for linear systems with delay with finite-dimensional terminal constraints

    Dokl. Akad. Nauk, 324:1 (1992),  11–15
  77. Synthesis of adaptive optimal controls for linear dynamical systems

    Dokl. Akad. Nauk, 323:5 (1992),  811–815
  78. Global maximization of special classes of convex functions on a convex polyhedral set

    Zh. Vychisl. Mat. Mat. Fiz., 32:8 (1992),  1313–1320
  79. Synthesis of a time-optimal discrete system

    Avtomat. i Telemekh., 1991, no. 12,  92–99
  80. A finite algorithm for constructing a programmed solution of a partially defined linear problem of optimal control

    Avtomat. i Telemekh., 1991, no. 7,  33–41
  81. Construction of optimal controls of feedback type in a linear problem

    Dokl. Akad. Nauk SSSR, 320:6 (1991),  1294–1299
  82. Dual optimization of dynamical systems

    Dokl. Akad. Nauk SSSR, 317:1 (1991),  15–19
  83. An algorithm for optimizing nonlinear dynamical systems

    Dokl. Akad. Nauk SSSR, 313:3 (1990),  537–540
  84. The construction of a solution of the alternative linear programming problem

    Zh. Vychisl. Mat. Mat. Fiz., 30:8 (1990),  1150–1156
  85. An optimization algorithm for a quasilinear control system

    Dokl. Akad. Nauk SSSR, 293:1 (1987),  22–26
  86. Problems of the control of finite-dimensional systems

    Avtomat. i Telemekh., 1986, no. 11,  5–29
  87. A direct accurate method то optimize a linear dynamic multi-input system

    Avtomat. i Telemekh., 1986, no. 2,  6–13
  88. Solution of linearly quadratic extremal problems

    Dokl. Akad. Nauk SSSR, 280:3 (1985),  529–533
  89. A dual exact method of solving a linear terminal control problem

    Avtomat. i Telemekh., 1984, no. 1,  48–57
  90. Algorithms for solving a linear optimal control problem

    Dokl. Akad. Nauk SSSR, 274:5 (1984),  1048–1052
  91. A direct accurate algorithm for design of optimal control in a linear problem

    Avtomat. i Telemekh., 1983, no. 8,  30–38
  92. The $\epsilon$-maximum principle for suboptimal controls

    Dokl. Akad. Nauk SSSR, 268:3 (1983),  525–529
  93. On methods for solving the general problem of convex quadratic programming

    Dokl. Akad. Nauk SSSR, 258:6 (1981),  1289–1293
  94. Construction of first-order algorithms to solve optimal-control problems

    Dokl. Akad. Nauk SSSR, 254:3 (1980),  562–566
  95. On the theory of necessary conditions for optimality in discrete control systems

    Upravliaemie systemy, 1979, no. 18,  14–25
  96. Mathematical theory of optimal control

    Itogi Nauki i Tekhn. Ser. Mat. Anal., 16 (1979),  55–97
  97. A primal and a dual minimal feasible methods for solving the general linear programming problem

    Avtomat. i Telemekh., 1977, no. 6,  85–96
  98. Discrete controllers for systems with delayed control

    Avtomat. i Telemekh., 1977, no. 2,  64–72
  99. Methods of optimal control

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 6 (1976),  133–259
  100. Controllability of linear non-stationary systems

    Dokl. Akad. Nauk SSSR, 225:5 (1975),  1035–1037
  101. Individual existence theorems for optimal equations

    Dokl. Akad. Nauk SSSR, 215:4 (1974),  772–775
  102. The discrete maximum principle

    Dokl. Akad. Nauk SSSR, 213:1 (1973),  19–22
  103. Necessary optimality conditions of equality type in discrete systems

    Differ. Uravn., 9:3 (1973),  542–546
  104. Controllability of linear stationary systems

    Dokl. Akad. Nauk SSSR, 203:3 (1972),  537–539
  105. Theory of the controllability of linear discrete systems. III. Systems with aftereffect

    Differ. Uravn., 8:7 (1972),  1283–1291
  106. Theory of the controllability of linear discrete systems. II. Ordinary systems

    Differ. Uravn., 8:6 (1972),  1081–1091
  107. On the optimization of discrete systems

    Differ. Uravn., 8:6 (1972),  1068–1080
  108. Theory of the controllability of linear discrete systems. I. The defining equation

    Differ. Uravn., 8:5 (1972),  767–773
  109. Controllability of linear two-parameter discrete systems

    Dokl. Akad. Nauk SSSR, 199:6 (1971),  1231–1233
  110. A maximum principle for general discrete systems

    Differ. Uravn., 7:9 (1971),  1581–1590
  111. Minimization of functions of a finite number of variables by means of certain second order methods

    Zh. Vychisl. Mat. Mat. Fiz., 11:5 (1971),  1139–1149
  112. A maximum principle for the optimization of systems with heredity

    Dokl. Akad. Nauk SSSR, 194:5 (1970),  995–998
  113. On the theory of identification of dynamical systems

    Differ. Uravn., 6:12 (1970),  2135–2148
  114. Relative controllability of linear stationary systems with deviating argument of neutral type

    Differ. Uravn., 6:8 (1970),  1359–1365
  115. On the theory of necessary conditions for higher order optimality

    Differ. Uravn., 6:4 (1970),  665–676
  116. The study of singular controls by means of a variation packet

    Differ. Uravn., 6:2 (1970),  260–275
  117. Application of the principle of the maximum to the calculation of optimum equations of discrete systems

    Dokl. Akad. Nauk SSSR, 189:5 (1969),  963–966
  118. Necessary optimality conditions for a system of integral equations

    Differ. Uravn., 5:5 (1969),  952–953
  119. On the theory of optimal processes in linear systems with lag

    Differ. Uravn., 5:4 (1969),  662–677
  120. On the theory of necessary optimality conditions governing special controls

    Dokl. Akad. Nauk SSSR, 183:2 (1968),  300–302
  121. On the control theory of dynamical systems

    Differ. Uravn., 4:9 (1968),  1574–1583
  122. The optimality of singular controls

    Differ. Uravn., 4:6 (1968),  1000–1011
  123. The maximum principle for L. S. Pontrjagin's extremals

    Differ. Uravn., 4:6 (1968),  963–972
  124. On the theory of optimal processes in discrete systems

    Zh. Vychisl. Mat. Mat. Fiz., 8:4 (1968),  780–796
  125. The existence of optimal controls in systems with lag

    Differ. Uravn., 3:12 (1967),  2067–2080
  126. An optimal control problem in systems with aftereffect

    Differ. Uravn., 2:10 (1966),  1289–1299
  127. The statistical problem of optimal control of a linear system

    Dokl. Akad. Nauk SSSR, 164:1 (1965),  16–19
  128. On the stability of stochastic systems with a small parameter multiplying the derivatives

    Uspekhi Mat. Nauk, 20:1(121) (1965),  189–196
  129. Optimization of convex functionals on trajectories of linear systems

    Dokl. Akad. Nauk SSSR, 156:5 (1964),  1007–1010
  130. Optimal processes with cyclic restrictions

    Dokl. Akad. Nauk SSSR, 144:4 (1962),  699–702
  131. Stability of solutions of differential-operator equations under constantly applied perturbations

    Izv. Vyssh. Uchebn. Zaved. Mat., 1962, no. 5,  29–38

  132. Vladimir Ivanovich Zubov

    Differ. Uravn., 36:10 (2000),  1299–1300
  133. Discrete time systems. An introduction to the theory: Freeman, H. London, John Wiley and Sons., xiii+239 pp., 1965

    Zh. Vychisl. Mat. Mat. Fiz., 6:1 (1966),  191–192
  134. Numerical methods in gas dynamics

    Zh. Vychisl. Mat. Mat. Fiz., 6:1 (1966),  189–191


© Steklov Math. Inst. of RAS, 2026