Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Yakubovich, Vladimir Andreevich
(1926–2012)
Statistics Math-Net.Ru
Total publications: 99
Scientific articles: 93

Number of views:
This page:4265
Abstract pages:20581
Full texts:9374
References:342
Corresponding member of RAS
Professor
Doctor of physico-mathematical sciences
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 21.10.1926
Website: https://www.math.spbu.ru/htmlsources/yakubovi.html
Keywords: parametric rezonance; linear periodic Hamiltonian systems; frequency methods; nonlinear systems; periodic, almost periodic solutions; dissipativity; dichotomy; convergence; absolute stability; adaptive systems; finite conve rgent algorithms for the solutions of infinite systems of inequalities; optimal control; abstract maximum principle; linear quadratic optimization problems; nonconvex optimization problems; differencial games, universal controllers.

Subject:

The parametric resonance theory and new approaches to the stability theory of nonlinear systems and to the optimization theory were developed. Among the contributions there are the quadratic criterion for absolute stabi lity, "Frequency theorem", the method of "recursive aim inequalities" in adaptive control and an abstract theory of optimal control, extending the Pontrjagin maximum principle to many new cases. Lemma Kalman-Yakubovich permits to connect two methods of control theory: frequency method and Liapu nov method. It is also of importance in stochastic realization theory. These theoretic investigations finds an application in many applied problems including robotic, mechanical engineering and electric energetics. The main results in recent years concern new aspects of linear-quadratic optimization problems.

Biography

Graduated from Faculty of Mathematics and Mechanics of Moscow State University in 1949 (differential equations and functional analysis chairs). Ph.D. thesis was defended in 1952. D.Sci. thesis was defended in 1959. The author of more than 300 papers and coauthor of seven books in different areas of applied mathematics and control theory.

Member of Russian Academy of Nature Sciences from 1992 and a member of Russian Academy of Nonlinear Sciences from 1997. I was awarded a Premium for the pedagogical art by the Sankt Petersburg University (1986). I was awarded the Norbert Wiener Prize (1991), a Premium by the international editorial company "Nauka" for best publication in its journals (1995), and the IEEE Control Systems Award "For pioneering and fundamental contributions to stability analysis and optimal control"(1996). My result on the solution of certain special matrix inequalities published in Doklady AN SSSR in 1962 is included in a millennium volume "Twenty-Five Seminal Papers in Control" containing the papers that have had a major impact on the field.
   
Main publications:
  • Yakubovich V. A. Nonconvex optimization problem: The infinite-horizon lin ear quadratic control problem with quadratic constraints // Systems and Control Letters, 1992, 19, 13–22.

https://www.mathnet.ru/eng/person17514
https://ru.wikipedia.org/wiki/Yakubovich,_Vladimir_Andreevich
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/194465
https://elibrary.ru/author_items.asp?authorid=7962

Publications in Math-Net.Ru Citations
2022
1. V. A. Yakubovich, “Machines learning pattern recognition. II”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 9:1 (2022),  94–112  mathnet; Vestn. St. Petersbg. Univ., Math., 9:1 (2022), 71–86
2000
2. V. A. Yakubovich, “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  mathnet  mathscinet  zmath; Autom. Remote Control, 61:12 (2000), 1991–2002 3
3. E. A. Tomberg, V. A. Yakubovich, “On one problem of Smale”, Sibirsk. Mat. Zh., 41:4 (2000),  926–928  mathnet  mathscinet  zmath; Siberian Math. J., 41:4 (2000), 771–773  isi 9
1998
4. A. S. Matveev, V. A. Yakubovich, “Nonconvex global optimization problems in control theory”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 60 (1998),  128–175  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 100:5 (2000), 2531–2563 11
1997
5. A. L. Likhtarnikov, V. A. Yakubovich, “Dichotomy and stability of undetermined nonlinear systems in Hilbert spaces”, Algebra i Analiz, 9:6 (1997),  132–155  mathnet  mathscinet  zmath; St. Petersburg Math. J., 9:6 (1998), 1129–1147 8
6. V. A. Yakubovich, “Universal Controllers in Stochastic Problems of Optimal Control of Linear Stationary Plants”, Avtomat. i Telemekh., 1997, no. 6,  170–182  mathnet  mathscinet  zmath; Autom. Remote Control, 58:6 (1997), 1026–1036 9
7. A. S. Shiryaev, V. A. Yakubovich, “Optimal tracking of harmonic signals in linear systems with noise in the measurements”, Dokl. Akad. Nauk, 353:1 (1997),  29–33  mathnet  mathscinet  zmath 1
8. A. Lindquist, V. A. Yakubovich, “Universal controllers for the optimal damping of forced oscillations in linear discrete systems”, Dokl. Akad. Nauk, 352:3 (1997),  314–317  mathnet  mathscinet  zmath 2
1996
9. V. A. Yakubovich, “Universal regulators in a linear-quadratic problem of optimal control”, Dokl. Akad. Nauk, 348:3 (1996),  313–317  mathnet  zmath 2
10. V. A. Yakubovich, “A universal controller for the optimal damping of forced oscillations in linear systems with delay”, Dokl. Akad. Nauk, 346:3 (1996),  319–323  mathnet  mathscinet  zmath 2
1995
11. V. A. Yakubovich, “Universal controllers in problems of invariance and tracking”, Dokl. Akad. Nauk, 343:2 (1995),  172–175  mathnet  mathscinet  zmath 6
1994
12. V. A. Yakubovich, “A universal controller for optimal damping of forced stochastic oscillations in a linear system”, Dokl. Akad. Nauk, 338:1 (1994),  19–24  mathnet  mathscinet  zmath; Dokl. Math., 50:2 (1995), 192–199 3
13. V. A. Yakubovich, “The problem of optimal tracking of deterministic harmonic signals with a known spectrum”, Dokl. Akad. Nauk, 337:4 (1994),  463–466  mathnet  mathscinet  zmath; Dokl. Math., 39:10 (1994), 683–686 2
14. V. A. Yakubovich, “Optimal damping of forced oscillations with respect to the output of a system”, Dokl. Akad. Nauk, 337:3 (1994),  323–327  mathnet  mathscinet  zmath; Dokl. Math., 39:7 (1994), 477–481 4
1993
15. V. A. Yakubovich, E. D. Yakubovich, “Optimal stabilization of a control system with constraints on the output variable”, Avtomat. i Telemekh., 1993, no. 9,  79–88  mathnet  mathscinet  zmath; Autom. Remote Control, 54:9 (1993), 1368–1376 2
16. V. A. Yakubovich, “A linear-quadratic problem of optimal damping of forced oscillations with unknown harmonic external action”, Dokl. Akad. Nauk, 333:2 (1993),  170–172  mathnet  mathscinet  zmath; Dokl. Math., 38:11 (1993), 449–451 4
17. A. N. Savkin, V. A. Yakubovich, “Absolute stability of nonlinear systems with a nonstationary linear part”, Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 4,  101–105  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 37:4 (1993), 98–101 1
1992
18. A. S. Matveev, V. A. Yakubovich, “Nonconvex problems of global optimization”, Algebra i Analiz, 4:6 (1992),  189–219  mathnet  mathscinet  zmath; St. Petersburg Math. J., 4:6 (1993), 1217–1243 9
19. V. A. Yakubovich, “Functional identification of a linear infinite-dimensional object”, Dokl. Akad. Nauk, 327:4-6 (1992),  455–459  mathnet  mathscinet  zmath; Dokl. Math., 37:12 (1992), 572–574 1
1991
20. V. A. Yakubovich, “Nonoscillation of linear periodic Hamiltonian equations and related problems”, Algebra i Analiz, 3:5 (1991),  229–253  mathnet  mathscinet  zmath; St. Petersburg Math. J., 3:5 (1992), 1165–1188 5
1990
21. V. A. Yakubovich, “A linear-quadratic problem of optimization and the frequency theorem for periodic systems. II”, Sibirsk. Mat. Zh., 31:6 (1990),  176–191  mathnet  mathscinet  zmath; Siberian Math. J., 31:6 (1990), 1027–1039  isi 22
1989
22. E. A. Tomberg, V. A. Yakubovich, “Conditions for auto-oscillations in nonlinear systems”, Sibirsk. Mat. Zh., 30:4 (1989),  180–194  mathnet  mathscinet  zmath; Siberian Math. J., 30:4 (1989), 641–653  isi 13
1988
23. V. A. Yakubovich, “Adaptive stabilization of continuous linear processes”, Avtomat. i Telemekh., 1988, no. 4,  97–107  mathnet  mathscinet  zmath; Autom. Remote Control, 49:4 (1988), 474–483 2
24. V. A. Yakubovich, “Absolute stability of nonlinear systems with a periodically nonstationary linear part”, Dokl. Akad. Nauk SSSR, 298:2 (1988),  299–303  mathnet  mathscinet  zmath; Dokl. Math., 33:1 (1988), 5–7 2
1986
25. V. A. Yakubovich, “A frequency theorem for periodic systems”, Dokl. Akad. Nauk SSSR, 287:1 (1986),  70–73  mathnet  mathscinet  zmath 2
26. V. A. Yakubovich, “A linear-quadratic problem of optimization and the frequency theorem for periodic systems. I”, Sibirsk. Mat. Zh., 27:4 (1986),  181–200  mathnet  mathscinet  zmath; Siberian Math. J., 27:4 (1986), 614–630  isi 18
1985
27. V. A. Yakubovich, “A singular problem of optimal control of a linear steady state system with a quadratic functional”, Sibirsk. Mat. Zh., 26:1 (1985),  189–200  mathnet  mathscinet  zmath; Siberian Math. J., 26:1 (1985), 148–158  isi 8
1984
28. V. A. Yakubovich, “Optimization and invariance of linear stationary control systems”, Avtomat. i Telemekh., 1984, no. 8,  5–45  mathnet  mathscinet  zmath; Autom. Remote Control, 45:8 (1984), 963–999 9
29. N. G. Dokuchaev, V. A. Yakubovich, “Optimal programmed control of a stochastic plant with constraints on the state for every time instant”, Avtomat. i Telemekh., 1984, no. 7,  49–57  mathnet  mathscinet  zmath; Autom. Remote Control, 45:7 (1984), 859–866 2
30. V. A. Yakubovich, E. D. Yakubovich, “Equivalent feedbacks in linear stationary control systems”, Avtomat. i Telemekh., 1984, no. 2,  54–65  mathnet  mathscinet  zmath; Autom. Remote Control, 45:2 (1984), 188–198 1
1983
31. V. A. Yakubovich, “Absolute stability of nonlinear systems with partial derivatives. I”, Avtomat. i Telemekh., 1983, no. 6,  53–61  mathnet  mathscinet  zmath; Autom. Remote Control, 44:6 (1983), 729–736 2
32. V. A. Popov, V. A. Yakubovich, “An optimization problem with phase constraints at different times”, Avtomat. i Telemekh., 1983, no. 1,  50–59  mathnet  mathscinet  zmath; Autom. Remote Control, 44:1 (1983), 39–47 2
33. V. A. Yakubovich, “Graphical criteria for absolute stability and absolute instability of nonlinear control systems”, Dokl. Akad. Nauk SSSR, 271:2 (1983),  307–310  mathnet  mathscinet 2
34. A. L. Likhtarnikov, V. A. Yakubovich, “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  mathnet  mathscinet; Siberian Math. J., 24:5 (1983), 752–767  isi 4
1982
35. A. L. Likhtarnikov, V. A. Yakubovich, “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  mathnet  mathscinet; Siberian Math. J., 23:4 (1982), 530–544  isi 2
1980
36. S. V. Gusev, V. A. Yakubovich, “An algorithm for adaptive control of a manipulator robot”, Avtomat. i Telemekh., 1980, no. 9,  101–111  mathnet  zmath; Autom. Remote Control, 41:9 (1981), 1268–1277 3
1979
37. N. E. Barabanov, V. A. Yakubovich, “Absolute stability of control systems having one hysteresis-like nonlinearity”, Avtomat. i Telemekh., 1979, no. 12,  5–12  mathnet  zmath; Autom. Remote Control, 40:12 (1980), 1713–1719 4
38. A. M. Shvedov, A. A. Shmidt, V. A. Yakubovich, “Invariant systems of features in pattern recognition”, Avtomat. i Telemekh., 1979, no. 3,  131–142  mathnet  zmath; Autom. Remote Control, 40:3 (1979), 430–441 1
39. V. A. Yakubovich, “On the abstract theory of optimal control. IV”, Sibirsk. Mat. Zh., 20:5 (1979),  1131–1159  mathnet  mathscinet  zmath; Siberian Math. J., 20:5 (1979), 820–821  isi 3
40. V. A. Yakubovich, “On the abstract theory of optimal control. III”, Sibirsk. Mat. Zh., 20:4 (1979),  885–910  mathnet  mathscinet  zmath; Siberian Math. J., 20:4 (1979), 624–644  isi 5
1978
41. A. A. Shmidt, V. A. Yakubovich, “Topic filtering algorithms and their use in recognition of complex images”, Avtomat. i Telemekh., 1978, no. 2,  161–176  mathnet  zmath; Autom. Remote Control, 39:2 (1978), 289–301 1
42. V. A. Yakubovich, “Frequency criteria for invariance up to $\varepsilon$ of control systems with one nonlinear block”, Dokl. Akad. Nauk SSSR, 240:2 (1978),  283–286  mathnet  mathscinet  zmath 1
43. A. L. Likhtarnikov, V. A. Yakubovich, “Frequency theorems and a stabilization theorem for unbounded operators”, Uspekhi Mat. Nauk, 33:2(200) (1978),  195–196  mathnet  mathscinet  zmath; Russian Math. Surveys, 33:2 (1978), 235–236 2
44. A. S. Matveev, V. A. Yakubovich, “Optimal control of certain systems with distributed parameters”, Sibirsk. Mat. Zh., 19:5 (1978),  1109–1140  mathnet  mathscinet  zmath; Siberian Math. J., 19:5 (1978), 783–804  isi 9
45. V. A. Yakubovich, “On the abstract theory of optimal control. II”, Sibirsk. Mat. Zh., 19:2 (1978),  436–460  mathnet  mathscinet  zmath; Siberian Math. J., 19:2 (1978), 306–324  isi 9
1977
46. A. L. Likhtarnikov, V. A. Yakubovich, “The frequency theorem for continuous one-parameter semigroups”, Izv. Akad. Nauk SSSR Ser. Mat., 41:4 (1977),  895–911  mathnet  mathscinet  zmath; Math. USSR-Izv., 11:4 (1977), 849–864 12
47. V. A. Yakubovich, “On the abstract theory of optimal control. I”, Sibirsk. Mat. Zh., 18:3 (1977),  685–707  mathnet  mathscinet  zmath; Siberian Math. J., 18:3 (1977), 487–504  isi 8
1976
48. V. A. Yakubovich, “Some variants of the abstract maximum principle”, Dokl. Akad. Nauk SSSR, 229:4 (1976),  816–819  mathnet  mathscinet  zmath 2
49. A. L. Likhtarnikov, V. A. Yakubovich, “A frequency theorem for equations of evolution type”, Sibirsk. Mat. Zh., 17:5 (1976),  1069–1085  mathnet  mathscinet  zmath; Siberian Math. J., 17:5 (1976), 790–803  isi 25
1975
50. V. A. Yakubovich, “Frequency conditions of oscillations in nonlinear control systems with one single-valued or hysteresis-type nonlinearity”, Avtomat. i Telemekh., 1975, no. 12,  51–64  mathnet  mathscinet  zmath; Autom. Remote Control, 36:12 (1975), 1973–1985 4
51. V. A. Yakubovich, “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  mathnet  mathscinet  zmath; Siberian Math. J., 16:5 (1975), 828–845  isi 23
52. I. M. Burkin, V. A. Yakubovich, “Frequency conditions for the existence of two almost periodic solutions of a nonlinear automatic control system”, Sibirsk. Mat. Zh., 16:5 (1975),  916–924  mathnet  mathscinet  zmath; Siberian Math. J., 16:5 (1975), 699–705  isi 2
53. R. P. Shepeleva, V. A. Yakubovich, “Critical frequencies of canonical fractional-periodic equations”, Sibirsk. Mat. Zh., 16:3 (1975),  612–622  mathnet  mathscinet  zmath; Siberian Math. J., 16:3 (1975), 471–479  isi 1
1974
54. V. A. Yakubovich, “An a priori estimate of the decrease of decreasing solutions of nonlinear systems”, Uspekhi Mat. Nauk, 29:3(177) (1974),  239–240  mathnet  mathscinet  zmath 1
55. V. A. Yakubovich, “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  mathnet  mathscinet  zmath; Siberian Math. J., 15:3 (1974), 457–476 37
1973
56. A. L. Fradkov, V. A. Yakubovich, “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  mathnet  mathscinet  zmath 2
57. V. A. Yakubovich, “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  mathnet  mathscinet  zmath 5
58. V. A. Yakubovich, “Necessary and sufficient conditions for absolute stability under certain types of quadratic constraints”, Dokl. Akad. Nauk SSSR, 209:2 (1973),  312–315  mathnet  mathscinet  zmath 3
59. V. A. Yakubovich, “Frequency conditions for auto-oscillations in nonlinear systems with a certain stationary nonlinearity”, Sibirsk. Mat. Zh., 14:5 (1973),  1100–1129  mathnet  mathscinet  zmath; Siberian Math. J., 14:5 (1973), 768–788 23
60. V. A. Yakubovich, “A frequency theorem in control theory”, Sibirsk. Mat. Zh., 14:2 (1973),  384–420  mathnet  mathscinet  zmath; Siberian Math. J., 14:2 (1973), 265–289 107
1972
61. V. A. Andreev, Yu. F. Kazarinov, V. A. Yakubovich, “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  mathnet  mathscinet  zmath 1
62. V. A. Yakubovich, “A theorem on the stability of a linear hamiltonian system with periodic coefficients”, Zap. Nauchn. Sem. LOMI, 27 (1972),  220–234  mathnet  mathscinet  zmath
1971
63. V. A. Yakubovich, “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  mathnet  mathscinet  zmath 3
64. V. A. Andreev, Yu. F. Kazarinov, V. A. Yakubovich, “Synthesis of optimal controls for linear inhomogeneous systems in problems of quadratic functional minimization”, Dokl. Akad. Nauk SSSR, 199:2 (1971),  258–261  mathnet  mathscinet  zmath 4
65. G. D. Penev, V. A. Yakubovich, “Certain problems in adaptive control”, Dokl. Akad. Nauk SSSR, 198:4 (1971),  787–790  mathnet  mathscinet  zmath 1
1970
66. V. A. Yakubovich, “The synthesis of optimal controls in a linear differential game with a quadratic payoff functional”, Dokl. Akad. Nauk SSSR, 195:2 (1970),  296–299  mathnet  mathscinet  zmath 3
67. V. A. Yakubovich, “Factorization of symmetric matrix polynomials”, Dokl. Akad. Nauk SSSR, 194:3 (1970),  532–535  mathnet  mathscinet  zmath 3
68. V. A. Yakubovich, “Solution of a certain algebra problem that arises in control theory”, Dokl. Akad. Nauk SSSR, 193:1 (1970),  57–60  mathnet  mathscinet  zmath 5
69. V. A. Yakubovich, “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  mathnet  mathscinet  zmath 1
1969
70. V. A. Yakubovich, “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  mathnet  mathscinet  zmath 4
71. V. A. Yakubovich, “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  mathnet  mathscinet  zmath 3
1968
72. V. A. Yakubovich, “Adaptive systems with multistep goal conditions”, Dokl. Akad. Nauk SSSR, 183:2 (1968),  303–306  mathnet  mathscinet  zmath 3
73. V. A. Yakubovich, “Theory of adaptive systems”, Dokl. Akad. Nauk SSSR, 182:3 (1968),  518–521  mathnet  mathscinet  zmath 4
74. V. A. Yakubovich, “Impulse control systems with width modulation”, Dokl. Akad. Nauk SSSR, 180:2 (1968),  290–293  mathnet  mathscinet  zmath 4
1966
75. V. A. Yakubovich, “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  mathnet  mathscinet  zmath 3
76. B. N. Kozinets, R. M. Lantsman, V. A. Yakubovich, “The use of electron computers in criminalistics for differentiation between very similar handwritings”, Dokl. Akad. Nauk SSSR, 167:5 (1966),  1008–1011  mathnet 3
77. V. A. Yakubovich, “Recurrent finitely convergent algorithms for solving systems of inequalities”, Dokl. Akad. Nauk SSSR, 166:6 (1966),  1308–1311  mathnet  mathscinet 9
1965
78. V. A. Yakubovich, “Frequency conditions for absolute stability and dissipativeness of control systems with one differentiable nonlinearity”, Dokl. Akad. Nauk SSSR, 160:2 (1965),  298–301  mathnet  mathscinet  zmath 3
1964
79. V. A. Yakubovich, “Solution of certain matrix inequalities encountered in non-linear control theory”, Dokl. Akad. Nauk SSSR, 156:2 (1964),  278–281  mathnet  mathscinet  zmath 5
1963
80. V. I. Derguzov, V. A. Yakubovich, “Existence of solutions of linear Hamiltonian equations with unbounded operator coefficients”, Dokl. Akad. Nauk SSSR, 151:6 (1963),  1264–1267  mathnet  mathscinet  zmath 1
81. V. A. Yakubovich, “Frequency conditions for absolute stability of control systems with hysteresis-like non-linearities”, Dokl. Akad. Nauk SSSR, 149:2 (1963),  288–291  mathnet  mathscinet  zmath 4
1962
82. V. A. Yakubovich, “The solution of some matrix inequalities encountered in automatic control theory”, Dokl. Akad. Nauk SSSR, 143:6 (1962),  1304–1307  mathnet  mathscinet  zmath 19
83. V. A. Yakubovich, “Oscillatory properties of solutions of canonical equations”, Mat. Sb. (N.S.), 56(98):1 (1962),  3–42  mathnet  mathscinet  zmath 3
1961
84. V. A. Yakubovich, “The structure of the functional space of complex canonical equations with periodic coefficients”, Dokl. Akad. Nauk SSSR, 139:1 (1961),  54–57  mathnet  mathscinet  zmath 1
85. V. A. Yakubovich, “Systems of standard linear differential equations with periodic coefficients (summary of the doctor's Thesis)”, Uspekhi Mat. Nauk, 16:1(97) (1961),  223–234  mathnet  zmath 1
86. V. A. Yakubovich, “Arguments on the group of symplectic matrices”, Mat. Sb. (N.S.), 55(97):3 (1961),  255–280  mathnet  mathscinet  zmath 3
1960
87. V. A. Yakubovich, “Stability conditions in the large for some non-linear differential equations of automatic control”, Dokl. Akad. Nauk SSSR, 135:1 (1960),  26–29  mathnet  mathscinet  zmath 1
1958
88. V. A. Yakubovich, “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  mathnet  zmath 1
89. V. A. Yakubovich, “On the dynamic stability of elastic systems”, Dokl. Akad. Nauk SSSR, 121:4 (1958),  602–605  mathnet  mathscinet  zmath 1
90. V. A. Yakubovich, “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  mathnet  mathscinet  zmath 2
1957
91. V. A. Yakubovich, “On a class of non-linear differential equations”, Dokl. Akad. Nauk SSSR, 117:1 (1957),  44–46  mathnet  mathscinet  zmath 2
1955
92. V. A. Yakubovich, “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  mathnet  mathscinet  zmath 2
1951
93. V. A. Yakubovich, “On the asymptotic behavior of the solutions of a system of differential equations”, Mat. Sb. (N.S.), 28(70):1 (1951),  217–240  mathnet  mathscinet  zmath 3
1981
94. A. L. Fradkov, V. A. Yakubovich, “Fourth leningrad symposium of theory of adaptive systems”, Avtomat. i Telemekh., 1981, no. 4,  186–192  mathnet
1977
95. D. P. Derevitskii, A. L. Fradkov, V. A. Yakubovich, “III Liningrad symposium on theory of adaptive systems”, Avtomat. i Telemekh., 1977, no. 12,  160–164  mathnet 1
1975
96. V. G. Antonov, V. A. Yakubovich, “The special representation of Hermitian forms that are encountered in game theory”, Uspekhi Mat. Nauk, 30:5(185) (1975),  199–200  mathnet  mathscinet  zmath 1
1971
97. A. N. Andrianov, A. I. Vinogradov, Yu. V. Linnik, A. V. Malyshev, D. K. Faddeev, N. G. Chudakov, V. A. Yakubovich, “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  mathnet  mathscinet 1
1962
98. A. O. Gel'fond, Yu. V. Linnik, N. G. Chudakov, V. A. Yakubovich, “On an erroneous paper of N. I. Gavrilov”, Uspekhi Mat. Nauk, 17:1(103) (1962),  265–267  mathnet  mathscinet 2
1961
99. Yu. V. Linnik, E. S. Lyapin, V. A. Yakubovich, “Vladimir Abramovich Tartakovskii (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 16:5(101) (1961),  225–230  mathnet  mathscinet  zmath

Organisations
 
  Contact us:
  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024