Yakubovich Vladimir Andreevich

Publications in Math-Net.Ru

1. Machines learning pattern recognition. II
   
   Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 9:1 (2022),  94–112
2. The necessity for a quadratic criterion for absolute stability of systems with a periodically nonstationary linear part
   
   Avtomat. i Telemekh., 2000, no. 12,  62–74
3. On one problem of Smale
   
   Sibirsk. Mat. Zh., 41:4 (2000),  926–928
4. Nonconvex global optimization problems in control theory
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 60 (1998),  128–175
5. Dichotomy and stability of undetermined nonlinear systems in Hilbert spaces
   
   Algebra i Analiz, 9:6 (1997),  132–155
6. Universal Controllers in Stochastic Problems of Optimal Control of Linear Stationary Plants
   
   Avtomat. i Telemekh., 1997, no. 6,  170–182
7. Optimal tracking of harmonic signals in linear systems with noise in the measurements
   
   Dokl. Akad. Nauk, 353:1 (1997),  29–33
8. Universal controllers for the optimal damping of forced oscillations in linear discrete systems
   
   Dokl. Akad. Nauk, 352:3 (1997),  314–317
9. Universal regulators in a linear-quadratic problem of optimal control
   
   Dokl. Akad. Nauk, 348:3 (1996),  313–317
10. A universal controller for the optimal damping of forced oscillations in linear systems with delay
    
    Dokl. Akad. Nauk, 346:3 (1996),  319–323
11. Universal controllers in problems of invariance and tracking
    
    Dokl. Akad. Nauk, 343:2 (1995),  172–175
12. A universal controller for optimal damping of forced stochastic oscillations in a linear system
    
    Dokl. Akad. Nauk, 338:1 (1994),  19–24
13. The problem of optimal tracking of deterministic harmonic signals with a known spectrum
    
    Dokl. Akad. Nauk, 337:4 (1994),  463–466
14. Optimal damping of forced oscillations with respect to the output of a system
    
    Dokl. Akad. Nauk, 337:3 (1994),  323–327
15. Optimal stabilization of a control system with constraints on the output variable
    
    Avtomat. i Telemekh., 1993, no. 9,  79–88
16. A linear-quadratic problem of optimal damping of forced oscillations with unknown harmonic external action
    
    Dokl. Akad. Nauk, 333:2 (1993),  170–172
17. Absolute stability of nonlinear systems with a nonstationary linear part
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 4,  101–105
18. Nonconvex problems of global optimization
    
    Algebra i Analiz, 4:6 (1992),  189–219
19. Functional identification of a linear infinite-dimensional object
    
    Dokl. Akad. Nauk, 327:4-6 (1992),  455–459
20. Nonoscillation of linear periodic Hamiltonian equations and related problems
    
    Algebra i Analiz, 3:5 (1991),  229–253
21. A linear-quadratic problem of optimization and the frequency theorem for periodic systems. II
    
    Sibirsk. Mat. Zh., 31:6 (1990),  176–191
22. Conditions for auto-oscillations in nonlinear systems
    
    Sibirsk. Mat. Zh., 30:4 (1989),  180–194
23. Adaptive stabilization of continuous linear processes
    
    Avtomat. i Telemekh., 1988, no. 4,  97–107
24. Absolute stability of nonlinear systems with a periodically nonstationary linear part
    
    Dokl. Akad. Nauk SSSR, 298:2 (1988),  299–303
25. A frequency theorem for periodic systems
    
    Dokl. Akad. Nauk SSSR, 287:1 (1986),  70–73
26. A linear-quadratic problem of optimization and the frequency theorem for periodic systems. I
    
    Sibirsk. Mat. Zh., 27:4 (1986),  181–200
27. A singular problem of optimal control of a linear steady state system with a quadratic functional
    
    Sibirsk. Mat. Zh., 26:1 (1985),  189–200
28. Optimization and invariance of linear stationary control systems
    
    Avtomat. i Telemekh., 1984, no. 8,  5–45
29. Optimal programmed control of a stochastic plant with constraints on the state for every time instant
    
    Avtomat. i Telemekh., 1984, no. 7,  49–57
30. Equivalent feedbacks in linear stationary control systems
    
    Avtomat. i Telemekh., 1984, no. 2,  54–65
31. Absolute stability of nonlinear systems with partial derivatives. I
    
    Avtomat. i Telemekh., 1983, no. 6,  53–61
32. An optimization problem with phase constraints at different times
    
    Avtomat. i Telemekh., 1983, no. 1,  50–59
33. Graphical criteria for absolute stability and absolute instability of nonlinear control systems
    
    Dokl. Akad. Nauk SSSR, 271:2 (1983),  307–310
34. Abstract criteria for absolute stability of nonlinear systems with respect to the linear output and their application. II
    
    Sibirsk. Mat. Zh., 24:5 (1983),  129–148
35. Abstract criteria for absolute stability of nonlinear systems with respect to the linear output and their applications. I
    
    Sibirsk. Mat. Zh., 23:4 (1982),  103–121
36. An algorithm for adaptive control of a manipulator robot
    
    Avtomat. i Telemekh., 1980, no. 9,  101–111
37. Absolute stability of control systems having one hysteresis-like nonlinearity
    
    Avtomat. i Telemekh., 1979, no. 12,  5–12
38. Invariant systems of features in pattern recognition
    
    Avtomat. i Telemekh., 1979, no. 3,  131–142
39. On the abstract theory of optimal control. IV
    
    Sibirsk. Mat. Zh., 20:5 (1979),  1131–1159
40. On the abstract theory of optimal control. III
    
    Sibirsk. Mat. Zh., 20:4 (1979),  885–910
41. Topic filtering algorithms and their use in recognition of complex images
    
    Avtomat. i Telemekh., 1978, no. 2,  161–176
42. Frequency criteria for invariance up to $\varepsilon$ of control systems with one nonlinear block
    
    Dokl. Akad. Nauk SSSR, 240:2 (1978),  283–286
43. Frequency theorems and a stabilization theorem for unbounded operators
    
    Uspekhi Mat. Nauk, 33:2(200) (1978),  195–196
44. Optimal control of certain systems with distributed parameters
    
    Sibirsk. Mat. Zh., 19:5 (1978),  1109–1140
45. On the abstract theory of optimal control. II
    
    Sibirsk. Mat. Zh., 19:2 (1978),  436–460
46. The frequency theorem for continuous one-parameter semigroups
    
    Izv. Akad. Nauk SSSR Ser. Mat., 41:4 (1977),  895–911
47. On the abstract theory of optimal control. I
    
    Sibirsk. Mat. Zh., 18:3 (1977),  685–707
48. Some variants of the abstract maximum principle
    
    Dokl. Akad. Nauk SSSR, 229:4 (1976),  816–819
49. A frequency theorem for equations of evolution type
    
    Sibirsk. Mat. Zh., 17:5 (1976),  1069–1085
50. Frequency conditions of oscillations in nonlinear control systems with one single-valued or hysteresis-type nonlinearity
    
    Avtomat. i Telemekh., 1975, no. 12,  51–64
51. The frequency theorem for the case in which the state space and the control space are Hilbert spaces, and its application in certain problems in the synthesis of optimal control. II
    
    Sibirsk. Mat. Zh., 16:5 (1975),  1081–1102
52. Frequency conditions for the existence of two almost periodic solutions of a nonlinear automatic control system
    
    Sibirsk. Mat. Zh., 16:5 (1975),  916–924
53. Critical frequencies of canonical fractional-periodic equations
    
    Sibirsk. Mat. Zh., 16:3 (1975),  612–622
54. An a priori estimate of the decrease of decreasing solutions of nonlinear systems
    
    Uspekhi Mat. Nauk, 29:3(177) (1974),  239–240
55. The frequency theorem for the case in which the state space and the control space are Hilbert spaces, and its application in certain problems in the synthesis of optimal control. I
    
    Sibirsk. Mat. Zh., 15:3 (1974),  639–668
56. Necessary and sufficient conditions for absolute stability in classes of systems with two integral quadratic relations
    
    Dokl. Akad. Nauk SSSR, 213:4 (1973),  798–801
57. Minimization of quadratic functionals under quadratic constraints and the necessity of a frequency condition in the quadratic criterion for absolute stability of nonlinear control systems
    
    Dokl. Akad. Nauk SSSR, 209:5 (1973),  1039–1042
58. Necessary and sufficient conditions for absolute stability under certain types of quadratic constraints
    
    Dokl. Akad. Nauk SSSR, 209:2 (1973),  312–315
59. Frequency conditions for auto-oscillations in nonlinear systems with a certain stationary nonlinearity
    
    Sibirsk. Mat. Zh., 14:5 (1973),  1100–1129
60. A frequency theorem in control theory
    
    Sibirsk. Mat. Zh., 14:2 (1973),  384–420
61. Synthesis of optimal controls for linear nonhomogeneous systems in the problem of minimizing the mean value of a quadratic functional
    
    Dokl. Akad. Nauk SSSR, 202:6 (1972),  1247–1250
62. A theorem on the stability of a linear hamiltonian system with periodic coefficients
    
    Zap. Nauchn. Sem. LOMI, 27 (1972),  220–234
63. On the synthesis of optimal controls in a linear differential game on a finite time interval with quadratic payoff functional
    
    Dokl. Akad. Nauk SSSR, 200:3 (1971),  548–551
64. Synthesis of optimal controls for linear inhomogeneous systems in problems of quadratic functional minimization
    
    Dokl. Akad. Nauk SSSR, 199:2 (1971),  258–261
65. Certain problems in adaptive control
    
    Dokl. Akad. Nauk SSSR, 198:4 (1971),  787–790
66. The synthesis of optimal controls in a linear differential game with a quadratic payoff functional
    
    Dokl. Akad. Nauk SSSR, 195:2 (1970),  296–299
67. Factorization of symmetric matrix polynomials
    
    Dokl. Akad. Nauk SSSR, 194:3 (1970),  532–535
68. Solution of a certain algebra problem that arises in control theory
    
    Dokl. Akad. Nauk SSSR, 193:1 (1970),  57–60
69. Frequency conditions for certain topological types of behavior “in the large” of solutions of nonlinear differential equation
    
    Uspekhi Mat. Nauk, 25:6(156) (1970),  233–234
70. Finitely convergent algorithms for the solution of countable systems of inequalities, and their application in problems of the synthesis of adaptive systems
    
    Dokl. Akad. Nauk SSSR, 189:3 (1969),  495–498
71. A certain class of nonlinear differential equations for which stability in the large and instability questions can be solved effectively
    
    Dokl. Akad. Nauk SSSR, 186:5 (1969),  1027–1030
72. Adaptive systems with multistep goal conditions
    
    Dokl. Akad. Nauk SSSR, 183:2 (1968),  303–306
73. Theory of adaptive systems
    
    Dokl. Akad. Nauk SSSR, 182:3 (1968),  518–521
74. Impulse control systems with width modulation
    
    Dokl. Akad. Nauk SSSR, 180:2 (1968),  290–293
75. Periodic and almost periodic limiting states of control systems with several, in general discontinuous, nonlinear terms
    
    Dokl. Akad. Nauk SSSR, 171:3 (1966),  533–536
76. The use of electron computers in criminalistics for differentiation between very similar handwritings
    
    Dokl. Akad. Nauk SSSR, 167:5 (1966),  1008–1011
77. Recurrent finitely convergent algorithms for solving systems of inequalities
    
    Dokl. Akad. Nauk SSSR, 166:6 (1966),  1308–1311
78. Frequency conditions for absolute stability and dissipativeness of control systems with one differentiable nonlinearity
    
    Dokl. Akad. Nauk SSSR, 160:2 (1965),  298–301
79. Solution of certain matrix inequalities encountered in non-linear control theory
    
    Dokl. Akad. Nauk SSSR, 156:2 (1964),  278–281
80. Existence of solutions of linear Hamiltonian equations with unbounded operator coefficients
    
    Dokl. Akad. Nauk SSSR, 151:6 (1963),  1264–1267
81. Frequency conditions for absolute stability of control systems with hysteresis-like non-linearities
    
    Dokl. Akad. Nauk SSSR, 149:2 (1963),  288–291
82. The solution of some matrix inequalities encountered in automatic control theory
    
    Dokl. Akad. Nauk SSSR, 143:6 (1962),  1304–1307
83. Oscillatory properties of solutions of canonical equations
    
    Mat. Sb. (N.S.), 56(98):1 (1962),  3–42
84. The structure of the functional space of complex canonical equations with periodic coefficients
    
    Dokl. Akad. Nauk SSSR, 139:1 (1961),  54–57
85. Systems of standard linear differential equations with periodic coefficients (summary of the doctor's Thesis)
    
    Uspekhi Mat. Nauk, 16:1(97) (1961),  223–234
86. Arguments on the group of symplectic matrices
    
    Mat. Sb. (N.S.), 55(97):3 (1961),  255–280
87. Stability conditions in the large for some non-linear differential equations of automatic control
    
    Dokl. Akad. Nauk SSSR, 135:1 (1960),  26–29
88. On the boundedness and stability in the whole of the solutions of some non-linear differential equations
    
    Dokl. Akad. Nauk SSSR, 121:6 (1958),  984–986
89. On the dynamic stability of elastic systems
    
    Dokl. Akad. Nauk SSSR, 121:4 (1958),  602–605
90. Structure of the group of symplectic matrices and of the set of unstable canonical systems with periodic coefficients
    
    Mat. Sb. (N.S.), 44(86):3 (1958),  313–352
91. On a class of non-linear differential equations
    
    Dokl. Akad. Nauk SSSR, 117:1 (1957),  44–46
92. Questions of the stability of solutions of a system of two linear differential equations of canonical form with periodic coefficients
    
    Mat. Sb. (N.S.), 37(79):1 (1955),  21–68
93. On the asymptotic behavior of the solutions of a system of differential equations
    
    Mat. Sb. (N.S.), 28(70):1 (1951),  217–240


94. Fourth leningrad symposium of theory of adaptive systems
    
    Avtomat. i Telemekh., 1981, no. 4,  186–192
95. III Liningrad symposium on theory of adaptive systems
    
    Avtomat. i Telemekh., 1977, no. 12,  160–164
96. The special representation of Hermitian forms that are encountered in game theory
    
    Uspekhi Mat. Nauk, 30:5(185) (1975),  199–200
97. On book of N. I. Gavrilov, The Riemann problem on the distribution of the roots of the zeta function
    
    Uspekhi Mat. Nauk, 26:3(159) (1971),  238–247
98. On an erroneous paper of N. I. Gavrilov
    
    Uspekhi Mat. Nauk, 17:1(103) (1962),  265–267
99. Vladimir Abramovich Tartakovskii (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 16:5(101) (1961),  225–230