Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Polyak, Boris Teodorovich
(1935–2023)

Statistics Math-Net.Ru
Total publications: 107
Scientific articles: 93
Presentations: 25

Number of views:
This page:9041
Abstract pages:59681
Full texts:32750
References:2404
Polyak, Boris Teodorovich
Professor
Doctor of technical sciences (1978)
Speciality: 05.13.01 (System analysis, the control and processing of information (separated by fields))
Birth date: 4.05.1935
Website: https://sites.google.com/site/lab7polyak
Keywords: Optimization methods, stochastic optimization, convex optimization, control, linear systems, robustness, chaos control
UDC: 517.43, 517.977, 519, 519.27, 519.62, 621.391.1, 621.394.74, 62-50, 62-501.72, 62-504, 519.718, 62-501.42
MSC: 93D21, 93B50, 93D09, 93B35, 93D09, 34K35

Subject:

Optimization, control

   
Main publications:
  1. Polyak B.T., Vvedenie v optimizatsiyu, Nauka 1983, 2-e izdanie 2014, 3-e izdanie 2019, angliiskii perevod 1987
  2. Polyak B.T., Scherbakov P.S., Robastnaya ustoichivost i upravlenie, Nauka, 2002
  3. Granichin O.N., Polyak B.T., Randomizirovannye algoritmy otsenivaniya i optimizatsii pri pochti proizvolnykh pomekhakh, Nauka, 2003
  4. Polyak B.T., Khlebnikov M.V., Scherbakov P.S., Upravlenie lineinymi sistemami pri vneshnikh vozmuscheniyakh, Lenand, 2014
  5. Polyak B.T., Khlebnikov M.V., Rapoport L.B., Matematicheskaya teoriya avtomaticheskogo upravleniya, URSS, 2019

https://www.mathnet.ru/eng/person19641
https://ru.wikipedia.org/wiki/Polyak,_Boris_Teodorovich
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:polyak.boris-t
https://mathscinet.ams.org/mathscinet/MRAuthorID/197498
https://elibrary.ru/author_items.asp?spin=2403-3337
https://orcid.org/0000-0002-1898-2984
https://www.webofscience.com/wos/author/record/G-6541-2011
https://www.scopus.com/authid/detail.url?authorId=7005072117
https://www.researchgate.net/profile/Boris-Polyak-2

Publications in Math-Net.Ru Citations
2022
1. B. T. Polyak, M. V. Khlebnikov, “New criteria for tuning PID controllers”, Avtomat. i Telemekh., 2022, no. 11,  62–82  mathnet; Autom. Remote Control, 83:11 (2022), 1724–1741 12
2. B. T. Polyak, M. V. Khlebnikov, “Observer-aided output feedback synthesis as an optimization problem”, Avtomat. i Telemekh., 2022, no. 3,  7–32  mathnet; Autom. Remote Control, 83:3 (2022), 303–324 5
2021
3. B. T. Polyak, M. V. Khlebnikov, “Static controller synthesis for peak-to-peak gain minimization as an optimization problem”, Avtomat. i Telemekh., 2021, no. 9,  86–115  mathnet; Autom. Remote Control, 82:9 (2021), 1530–1553  isi  scopus 13
4. B. T. Polyak, M. V. Khlebnikov, P. S. Shcherbakov, “Linear matrix inequalities in control systems with uncertainty”, Avtomat. i Telemekh., 2021, no. 1,  3–54  mathnet  elib; Autom. Remote Control, 82:1 (2021), 1–40  isi  scopus 24
2020
5. B. T. Polyak, I. F. Fatkhullin, “Use of projective coordinate descent in the Fekete problem”, Zh. Vychisl. Mat. Mat. Fiz., 60:5 (2020),  815–827  mathnet  elib; Comput. Math. Math. Phys., 60:5 (2020), 795–807  isi  scopus 1
2019
6. B. T. Polyak, L. A. Shalby, “Minimum fuel-consumption stabilization of a spacecraft at the Lagrangian points”, Avtomat. i Telemekh., 2019, no. 12,  160–172  mathnet  elib; Autom. Remote Control, 80:12 (2019), 2217–2228  isi  scopus 3
7. B. T. Polyak, G. V. Smirnov, “Transient response in matrix discrete-time linear systems”, Avtomat. i Telemekh., 2019, no. 9,  112–121  mathnet  elib; Autom. Remote Control, 80:9 (2019), 1645–1652  isi  scopus 9
8. B. T. Polyak, A. V. Nazin, “The 100th birthday of Yakov Zalmanovich Tsypkin”, Avtomat. i Telemekh., 2019, no. 9,  6–8  mathnet  elib
2017
9. B. T. Polyak, Ya. I. Kvinto, “Stability and synchronization of oscillators: new Lyapunov functions”, Avtomat. i Telemekh., 2017, no. 7,  76–85  mathnet  mathscinet  elib; Autom. Remote Control, 78:7 (2017), 1234–1242  isi  scopus 6
10. B. T. Polyak, M. V. Khlebnikov, “Principle component analysis: robust versions”, Avtomat. i Telemekh., 2017, no. 3,  130–148  mathnet  elib; Autom. Remote Control, 78:3 (2017), 490–506  isi  scopus 24
2016
11. B. T. Polyak, O. N. Kuznetsov, V. V. Chumachenko, “Stability study of a power system with unipolar electromagnetic brake”, Avtomat. i Telemekh., 2016, no. 9,  58–69  mathnet  elib; Autom. Remote Control, 77:9 (2016), 1557–1566  isi  scopus 2
2015
12. B. T. Polyak, A. A. Tremba, M. V. Khlebnikov, P. S. Shcherbakov, G. V. Smirnov, “Large deviations in linear control systems with nonzero initial conditions”, Avtomat. i Telemekh., 2015, no. 6,  18–41  mathnet  elib; Autom. Remote Control, 76:6 (2015), 957–976  isi  elib  scopus 43
2014
13. B. T. Polyak, M. V. Khlebnikov, P. S. Shcherbakov, “Sparse feedback in linear control systems”, Avtomat. i Telemekh., 2014, no. 12,  13–27  mathnet; Autom. Remote Control, 75:12 (2014), 2099–2111  isi  scopus 31
2013
14. B. T. Polyak, “Scientometrics: who is the patient for this medicine?”, UBS, 44 (2013),  161–170  mathnet 2
2012
15. B. T. Polyak, A. A. Tremba, “Regularization-based solution of the PageRank problem for large matrices”, Avtomat. i Telemekh., 2012, no. 11,  144–166  mathnet  zmath; Autom. Remote Control, 73:11 (2012), 1877–1894  isi  scopus 16
2011
16. M. V. Khlebnikov, B. T. Polyak, V. M. Kuntsevich, “Optimization of linear systems subject to bounded exogenous disturbances: The invariant ellipsoid technique”, Avtomat. i Telemekh., 2011, no. 11,  9–59  mathnet  mathscinet; Autom. Remote Control, 72:11 (2011), 2227–2275  isi  scopus 78
17. A. V. Nazin, B. T. Polyak, “Randomized algorithm to determine the eigenvector of a stochastic matrix with application to the PageRank problem”, Avtomat. i Telemekh., 2011, no. 2,  131–141  mathnet  mathscinet  zmath; Autom. Remote Control, 72:2 (2011), 342–352  isi  scopus 20
2009
18. B. T. Polyak, “Research on automatic control theory”, Probl. Upr., 2009, no. 3.1,  13–18  mathnet 1
2008
19. E. N. Gryazina, B. T. Polyak, A. A. Tremba, “$D$-decomposition technique state-of-the-art”, Avtomat. i Telemekh., 2008, no. 12,  3–40  mathnet  mathscinet  zmath; Autom. Remote Control, 69:12 (2008), 1991–2026  isi  scopus 105
20. B. T. Polyak, M. V. Topunov, “Suppression of bounded exogenous disturbances: Output feedback”, Avtomat. i Telemekh., 2008, no. 5,  72–90  mathnet  mathscinet  zmath; Autom. Remote Control, 69:5 (2008), 801–818  isi  scopus 93
2007
21. E. N. Gryazina, B. T. Polyak, “Multidimensional stability domain of special polynomial families”, Avtomat. i Telemekh., 2007, no. 12,  38–52  mathnet  mathscinet  zmath; Autom. Remote Control, 68:12 (2007), 2128–2141  scopus 7
22. S. A. Nazin, B. T. Polyak, “Ellipsoid-based parametric estimation in the linear multidimensional systems with uncertain model description”, Avtomat. i Telemekh., 2007, no. 6,  67–80  mathnet  mathscinet  zmath; Autom. Remote Control, 68:6 (2007), 993–1005  scopus 5
23. S. A. Nazin, B. T. Polyak, M. V. Topunov, “Rejection of bounded exogenous disturbances by the method of invariant ellipsoids”, Avtomat. i Telemekh., 2007, no. 3,  106–125  mathnet  mathscinet  zmath; Autom. Remote Control, 68:3 (2007), 467–486  scopus 156
24. E. N. Gryazina, B. T. Polyak, A. A. Tremba, “Design of the low-order controllers by the $H_\infty$ criterion: A parametric approach”, Avtomat. i Telemekh., 2007, no. 3,  94–105  mathnet  mathscinet  zmath; Autom. Remote Control, 68:3 (2007), 456–466  scopus 11
2006
25. B. T. Polyak, P. S. Shcherbakov, “The $D$-decomposition technique for linear matrix inequalities”, Avtomat. i Telemekh., 2006, no. 11,  159–174  mathnet  mathscinet  zmath; Autom. Remote Control, 67:11 (2006), 1847–1861  scopus 16
2005
26. S. V. Efremov, B. T. Polyak, “Using predictive control to synchronize chaotic systems”, Avtomat. i Telemekh., 2005, no. 12,  40–50  mathnet  mathscinet  zmath; Autom. Remote Control, 66:12 (2005), 1905–1915  scopus
27. B. T. Polyak, “Stabilizing chaos with predictive control”, Avtomat. i Telemekh., 2005, no. 11,  99–112  mathnet  mathscinet  zmath; Autom. Remote Control, 66:11 (2005), 1791–1804  scopus 38
28. B. T. Polyak, P. S. Shcherbakov, “Hard problems in linear control theory: possible approaches to solution”, Avtomat. i Telemekh., 2005, no. 5,  7–46  mathnet  mathscinet  zmath; Autom. Remote Control, 66:5 (2005), 681–718  scopus 79
2004
29. A. V. Nazin, S. A. Nazin, B. T. Polyak, “On convergence of external ellipsoidal approximations of the reachability domains of discrete dynamic linear systems”, Avtomat. i Telemekh., 2004, no. 8,  39–61  mathnet  mathscinet  zmath; Autom. Remote Control, 65:8 (2004), 1210–1230  isi  scopus 3
30. B. T. Polyak, “Extended superstability in control theory”, Avtomat. i Telemekh., 2004, no. 4,  70–80  mathnet  mathscinet  zmath; Autom. Remote Control, 65:4 (2004), 567–576  isi  scopus 19
31. B. T. Polyak, “Newton–Kantorovich method and its global convergence”, Zap. Nauchn. Sem. POMI, 312 (2004),  256–274  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 133:4 (2006), 1513–1523 23
2002
32. B. T. Polyak, P. S. Shcherbakov, “Superstable Linear Control Systems. II. Design”, Avtomat. i Telemekh., 2002, no. 11,  56–75  mathnet  mathscinet  zmath; Autom. Remote Control, 63:11 (2002), 1745–1763  isi  scopus 35
33. B. T. Polyak, P. S. Shcherbakov, “Superstable Linear Control Systems. I. Analysis”, Avtomat. i Telemekh., 2002, no. 8,  37–53  mathnet  mathscinet  zmath; Autom. Remote Control, 63:8 (2002), 1239–1254  isi  scopus 60
2001
34. O. N. Kiselev, B. T. Polyak, “Minimization of Overshoot in Linear Discrete-Time Systems via Low-Order Controllers”, Avtomat. i Telemekh., 2001, no. 4,  98–108  mathnet  mathscinet  zmath; Autom. Remote Control, 62:4 (2001), 597–606  isi  scopus 3
35. B. T. Polyak, “Local programming”, Zh. Vychisl. Mat. Mat. Fiz., 41:9 (2001),  1324–1331  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 41:9 (2001), 1259–1266 18
2000
36. A. N. Vishnyakov, B. T. Polyak, “Synthesis of low-order controllers for discrete control systems under nonrandom perturbations”, Avtomat. i Telemekh., 2000, no. 9,  112–119  mathnet  mathscinet  zmath; Autom. Remote Control, 61:9 (2000), 1515–1521
1999
37. O. N. Kiselev, B. T. Polyak, “Synthesis of low-order controllers by the $H^{\infty}$ and the maximum robustness criteria”, Avtomat. i Telemekh., 1999, no. 3,  119–130  mathnet  mathscinet; Autom. Remote Control, 60:3 (1999), 393–402  isi 30
1997
38. O. N. Kiselev, Le Hung Lan, B. T. Polyak, “Frequency Characteristics under Parametric Uncertainty”, Avtomat. i Telemekh., 1997, no. 4,  155–174  mathnet  mathscinet  zmath; Autom. Remote Control, 58:4 (1997), 645–661 9
39. B. T. Polyak, O. B. Panchenko, “A probabilistic approach to the problem of the stability of interval matrices”, Dokl. Akad. Nauk, 353:4 (1997),  456–458  mathnet  mathscinet  zmath
1996
40. B. T. Polyak, P. S. Shcherbakov, “A Probabilistic Approach to Robust Stability of Time Delay Systems”, Avtomat. i Telemekh., 1996, no. 12,  97–108  mathnet  mathscinet  zmath; Autom. Remote Control, 57:12 (1996), 1770–1779 1
41. B. T. Polyak, Ya. Z. Tsypkin, “Stability and Robust Stability of Uniform Systems”, Avtomat. i Telemekh., 1996, no. 11,  91–104  mathnet  mathscinet  zmath; Autom. Remote Control, 57:11 (1996), 1606–1617 43
1995
42. B. T. Polyak, P. S. Shcherbakov, “Algorithms for matrix estimation”, Avtomat. i Telemekh., 1995, no. 11,  122–139  mathnet  mathscinet  zmath; Autom. Remote Control, 56:11 (1995), 1605–1619
43. O. N. Kiselev, B. T. Polyak, “Gain margin for a cascade of uncertain components”, Avtomat. i Telemekh., 1995, no. 9,  93–103  mathnet  mathscinet  zmath; Autom. Remote Control, 56:9 (1995), 1278–1286
44. O. B. Panchenko, B. T. Polyak, “Estimation of the measure of stable polynomials in an interval family”, Avtomat. i Telemekh., 1995, no. 7,  108–115  mathnet  mathscinet  zmath; Autom. Remote Control, 56:7 (1995), 997–1003
45. Ya. Z. Tsypkin, B. T. Polyak, “Robust stability of a class of systems with distributed parameters”, Dokl. Akad. Nauk, 341:4 (1995),  463–465  mathnet  mathscinet  zmath
1994
46. A. S. Nemirovskiĭ, B. T. Polyak, “Necessary conditions for stability of polynomials and their utilization”, Avtomat. i Telemekh., 1994, no. 11,  113–119  mathnet  mathscinet  zmath; Autom. Remote Control, 55:11 (1994), 1644–1649 8
47. B. T. Polyak, Ya. Z. Tsypkin, “Robust aperiodicity”, Dokl. Akad. Nauk, 335:3 (1994),  304–307  mathnet  mathscinet  zmath; Dokl. Math., 39:3 (1994), 149–152 1
1993
48. O. N. Kiselev, B. T. Polyak, “Robust stability of a chain of simple links”, Avtomat. i Telemekh., 1993, no. 12,  115–127  mathnet  mathscinet  zmath; Autom. Remote Control, 54:12 (1993), 1824–1834 1
1992
49. B. T. Polyak, Ya. Z. Tsypkin, “The robust Nyquist criterion”, Avtomat. i Telemekh., 1992, no. 7,  25–31  mathnet  mathscinet  zmath; Autom. Remote Control, 53:7 (1992), 972–977 4
50. B. T. Polyak, A. B. Tsybakov, “A Family of Asymptotically Optimal Methods for Choosing the Order of a Projective Regression Estimate”, Teor. Veroyatnost. i Primenen., 37:3 (1992),  502–512  mathnet  mathscinet  zmath; Theory Probab. Appl., 37:3 (1993), 471–481 5
1991
51. N. P. Petrov, B. T. Polyak, “Robust $D$-partition”, Avtomat. i Telemekh., 1991, no. 11,  41–53  mathnet  mathscinet  zmath; Autom. Remote Control, 52:11 (1991), 1513–1523 10
52. O. N. Kiselev, B. T. Polyak, “Ellipsoidal estimation based on a generalized criterion”, Avtomat. i Telemekh., 1991, no. 9,  133–145  mathnet  mathscinet  zmath; Autom. Remote Control, 52:9 (1991), 1281–1292 3
53. B. T. Polyak, Ya. Z. Tsypkin, “Robust stability under complex perturbations of the parameters”, Avtomat. i Telemekh., 1991, no. 8,  45–55  mathnet  mathscinet  zmath; Autom. Remote Control, 52:8 (1991), 1069–1077 3
54. B. T. Polyak, Ya. Z. Tsypkin, “Robust stability of linear discrete systems”, Dokl. Akad. Nauk SSSR, 316:4 (1991),  842–846  mathnet  mathscinet  zmath; Dokl. Math., 36:2 (1991), 111–113 5
1990
55. B. T. Polyak, Ya. Z. Tsypkin, “Frequency domain criteria for robust stability and aperiodicity of linear systems”, Avtomat. i Telemekh., 1990, no. 9,  45–54  mathnet  mathscinet  zmath; Autom. Remote Control, 51:9 (1990), 1192–1201 22
56. B. T. Polyak, “A new method of stochastic approximation type”, Avtomat. i Telemekh., 1990, no. 7,  98–107  mathnet  mathscinet  zmath; Autom. Remote Control, 51:7 (1990), 937–946 10
57. B. T. Polyak, A. B. Tsybakov, “Optimal Order of Accuracy of Search Algorithms in Stochastic Optimization”, Probl. Peredachi Inf., 26:2 (1990),  45–53  mathnet  mathscinet  zmath; Problems Inform. Transmission, 26:2 (1990), 126–133 9
58. B. T. Polyak, A. B. Tsybakov, “Asymptotic optimality of the $C_p$-test for the orthogonal series estimation of regression”, Teor. Veroyatnost. i Primenen., 35:2 (1990),  305–317  mathnet  mathscinet  zmath; Theory Probab. Appl., 35:2 (1990), 293–306  isi 22
1989
59. A. V. Nazin, B. T. Polyak, A. B. Tsybakov, “Passive stochastic approximation”, Avtomat. i Telemekh., 1989, no. 11,  127–134  mathnet  mathscinet  zmath; Autom. Remote Control, 50:11 (1989), 1563–1569 1
60. B. T. Polyak, A. B. Tsybakov, “Optimal projection estimates for a regression function of unknown smoothness”, Dokl. Akad. Nauk SSSR, 304:2 (1989),  297–301  mathnet  mathscinet  zmath; Dokl. Math., 39:1 (1989), 73–77
1988
61. Yu. Sh. Verulava, B. T. Polyak, “Choice of the regression model order”, Avtomat. i Telemekh., 1988, no. 11,  113–129  mathnet  mathscinet  zmath; Autom. Remote Control, 49:11 (1988), 1482–1494 1
1985
62. A. S. Nemirovski, B. T. Polyak, Ya. Z. Tsypkin, “Optimal algorithms for stochastic optimization under multiplicative noise”, Dokl. Akad. Nauk SSSR, 284:3 (1985),  564–567  mathnet  mathscinet
63. A. S. Nemirovskii, B. T. Polyak, A. B. Tsybakov, “Convergence Rate of Nonparametric Estimates of Maximum-Likelihood Type”, Probl. Peredachi Inf., 21:4 (1985),  17–33  mathnet  mathscinet  zmath; Problems Inform. Transmission, 21:4 (1985), 258–272
1984
64. Yu. Sh. Verulava, Z. N. Gorgadze, B. T. Polyak, “Study of algorithms for estimation of autoregression coefficients”, Avtomat. i Telemekh., 1984, no. 11,  49–57  mathnet  zmath; Autom. Remote Control, 45:11 (1984), 1428–1434
65. B. T. Polyak, Ya. Z. Tsypkin, “Criterial algorithms of stochastic optimization”, Avtomat. i Telemekh., 1984, no. 6,  95–104  mathnet  mathscinet  zmath; Autom. Remote Control, 45:6 (1984), 766–774 1
66. A. S. Nemirovskii, B. T. Polyak, A. B. Tsybakov, “Signal Processing by the Nonparametric Maximum-Likelihood Method”, Probl. Peredachi Inf., 20:3 (1984),  29–46  mathnet  mathscinet  zmath; Problems Inform. Transmission, 20:3 (1984), 177–192 1
1983
67. A. S. Nemirovski, B. T. Polyak, A. B. Tsybakov, “Estimators of maximum likelihood type for nonparametric regression”, Dokl. Akad. Nauk SSSR, 273:6 (1983),  1310–1314  mathnet  mathscinet  zmath
68. B. T. Polyak, Ya. Z. Tsypkin, “Optimal algorithms for criterial optimization under conditions of uncertainty”, Dokl. Akad. Nauk SSSR, 273:2 (1983),  315–318  mathnet  mathscinet  zmath
1980
69. B. T. Polyak, Ya. Z. Tsypkin, “Robust pseudogradient adaptation algorithms”, Avtomat. i Telemekh., 1980, no. 10,  91–97  mathnet  mathscinet  zmath; Autom. Remote Control, 41:10 (1981), 1404–1409 5
70. B. T. Polyak, Ya. Z. Tsypkin, “Optimal pseudogradient adaptation algorithms”, Avtomat. i Telemekh., 1980, no. 8,  74–84  mathnet  mathscinet  zmath; Autom. Remote Control, 41:8 (1981), 1101–1110 4
71. B. T. Polyak, Ya. Z. Tsypkin, “Optimal pseudogradient stochastic-optimization algorithms”, Dokl. Akad. Nauk SSSR, 250:5 (1980),  1084–1087  mathnet  mathscinet  zmath 1
1979
72. B. T. Polyak, Ya. Z. Tsypkin, “Adaptive estimation algorithms: convergence, optimality, stability”, Avtomat. i Telemekh., 1979, no. 3,  71–84  mathnet  mathscinet  zmath; Autom. Remote Control, 40:3 (1979), 378–389 5
73. B. T. Polyak, “Methods for solving constrained extremum problems in the presence of random noise”, Zh. Vychisl. Mat. Mat. Fiz., 19:1 (1979),  70–78  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 19:1 (1979), 72–81
1977
74. B. T. Polyak, “Convergence and rate of convergence of interative stochastic algorithms. II. The linear case”, Avtomat. i Telemekh., 1977, no. 4,  101–107  mathnet  zmath; Autom. Remote Control, 38:4 (1977), 537–542 1
1976
75. B. T. Polyak, “Convergence and rate of convergence in iterative stochastic processes. I. The general case”, Avtomat. i Telemekh., 1976, no. 12,  83–94  mathnet  mathscinet  zmath; Autom. Remote Control, 37:12 (1976), 1858–1868 8
1974
76. A. B. Bakushinskii, B. T. Polyak, “On the solution of variational inequalities”, Dokl. Akad. Nauk SSSR, 219:5 (1974),  1038–1041  mathnet  mathscinet  zmath 6
77. Ya. Z. Tsypkin, B. T. Polyak, “Attainable accuracy of adaptation algorithms”, Dokl. Akad. Nauk SSSR, 218:3 (1974),  532–535  mathnet  mathscinet  zmath
78. B. T. Polyak, “Minimization methods in the presence of constraints”, Itogi Nauki i Tekhn. Ser. Mat. Anal., 12 (1974),  147–197  mathnet  mathscinet  zmath; J. Soviet Math., 5:1 (1976), 97–128 2
1973
79. B. T. Polyak, N. V. Tret'yakov, “A method of penalty estimates for conditional extremum problems”, Zh. Vychisl. Mat. Mat. Fiz., 13:1 (1973),  34–46  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 13:1 (1973), 42–58 30
1971
80. B. T. Polyak, “Convergence of the methods of feasible directions in extremal problems”, Zh. Vychisl. Mat. Mat. Fiz., 11:4 (1971),  855–869  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 11:4 (1971), 53–70 10
81. B. T. Polyak, “The rate of convergence of the penalty function method”, Zh. Vychisl. Mat. Mat. Fiz., 11:1 (1971),  3–11  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 11:1 (1971), 1–12 17
1970
82. B. T. Polyak, “Iteration methods that utilize Lagrange multipliers for the solution of extremal problems with equality type constraints”, Zh. Vychisl. Mat. Mat. Fiz., 10:5 (1970),  1098–1106  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 10:5 (1970), 42–52 21
1969
83. B. T. Polyak, “Semicontinuity of integral functionals and existence theorems on extremal problems”, Mat. Sb. (N.S.), 78(120):1 (1969),  65–84  mathnet  mathscinet  zmath; Math. USSR-Sb., 7:1 (1969), 59–77 9
84. B. T. Polyak, “The conjugate gradient method in extremal problems”, Zh. Vychisl. Mat. Mat. Fiz., 9:4 (1969),  807–821  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 9:4 (1969), 94–112 823
85. B. T. Polyak, “Minimization of nonsmooth functionals”, Zh. Vychisl. Mat. Mat. Fiz., 9:3 (1969),  509–521  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 9:3 (1969), 14–29 383
1967
86. B. T. Polyak, “A general method for solving extremal problems”, Dokl. Akad. Nauk SSSR, 174:1 (1967),  33–36  mathnet  mathscinet  zmath 10
87. L. G. Gurin, B. T. Polyak, È. V. Raik, “The method of projections for finding the common point of convex sets”, Zh. Vychisl. Mat. Mat. Fiz., 7:6 (1967),  1211–1228  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 7:6 (1967), 1–24 528
1966
88. E. S. Levitin, B. T. Polyak, “Convergence of minimizing sequences in conditional extremum problems”, Dokl. Akad. Nauk SSSR, 168:5 (1966),  997–1000  mathnet  mathscinet  zmath 3
89. B. T. Polyak, “Existence theorems and convergence of minimizing sequences for extremal problems with constraints”, Dokl. Akad. Nauk SSSR, 166:2 (1966),  287–290  mathnet  mathscinet  zmath 10
90. E. S. Levitin, B. T. Polyak, “Constrained minimization methods”, Zh. Vychisl. Mat. Mat. Fiz., 6:5 (1966),  787–823  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 6:5 (1966), 1–50 532
1964
91. B. T. Polyak, “Gradient methods for solving equations and inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 4:6 (1964),  995–1005  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 4:6 (1964), 17–32 51
92. B. T. Polyak, “Some methods of speeding up the convergence of iteration methods”, Zh. Vychisl. Mat. Mat. Fiz., 4:5 (1964),  791–803  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 4:5 (1964), 1–17 1418
1963
93. B. T. Polyak, “Gradient methods for minimizing functionals”, Zh. Vychisl. Mat. Mat. Fiz., 3:4 (1963),  643–653  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 3:4 (1963), 864–878 129

2022
94. B. T. Polyak, M. V. Khlebnikov, “Erratum to: Observer-aided output feedback synthesis as an optimization problem”, Avtomat. i Telemekh., 2022, no. 11,  167–168  mathnet  mathscinet; Autom. Remote Control, 83:11 (2022), 1818–1819
2015
95. B. T. Polyak, O. A. Stepanov, A. L. Fradkov, “19th World Congress of IFAC”, Avtomat. i Telemekh., 2015, no. 2,  150–156  mathnet  elib 2
2009
96. B. T. Polyak, “A. S. Poznyak. Advanced Mathematical Tools for Automatic Control Engineers. Vol. I. Deterministic Systems. Elsevier, Amsterdam, 2008. 775 pp”, Avtomat. i Telemekh., 2009, no. 11,  175–176  mathnet; Autom. Remote Control, 70:11 (2009), 1926–1927 1
97. B. T. Polyak, E. N. Gryazina, “First Traditional Russian Youth Summer School “Control, Information, and Optimization””, Avtomat. i Telemekh., 2009, no. 11,  172–174  mathnet; Autom. Remote Control, 70:11 (2009), 1923–1925  isi
98. A. V. Arutyunov, B. T. Polyak, “B. S. Mordukhovich. Variational Analysis and Generalized Differentiation. I. Basic Theory, II. Applications. Springer, Series Fundamental Principles of Mathematical Sciences, vol. 330, 601 p.; vol. 331, 632 p, 2006”, Avtomat. i Telemekh., 2009, no. 6,  187–189  mathnet; Autom. Remote Control, 70:6 (2009), 1086–1087 1
2005
99. B. T. Polyak, “Selected Works of E. S. Pyatnitskii in 3 Volumes. Moscow: Fizmatlit, 2004, vol. 1; 2005, vol. 2”, Avtomat. i Telemekh., 2005, no. 10,  187–188  mathnet; Autom. Remote Control, 66:10 (2005), 1701–1702 1
2003
100. A. B. Kurzhanskii, B. T. Polyak, F. L. Chernous'ko, “Fifteenth International IFAC Congress”, Avtomat. i Telemekh., 2003, no. 1,  186–190  mathnet; Autom. Remote Control, 64:1 (2003), 170–173 2
2001
101. B. T. Polyak, “Review on the Monograph “Foundations of Mathematical Modeling in the Programming Environment MATLAB 5 and Scilab” by B. R. Andrievskii and A.L. Fradkov”, Avtomat. i Telemekh., 2001, no. 10,  236–237  mathnet; Autom. Remote Control, 62:10 (2001), 1756–1757
102. B. T. Polyak, “4th Russion-Swedish Control Conference”, Avtomat. i Telemekh., 2001, no. 7,  219–221  mathnet; Autom. Remote Control, 62:7 (2001), 1220–1222
1999
103. B. T. Polyak, “Международный симпозиум “Робастность в идентификации и управлении” (Сиена, Италия, 30 июля – 2 августа 1998 г.)”, Avtomat. i Telemekh., 1999, no. 8,  189–190  mathnet 3
1993
104. B. T. Polyak, Ya. Z. Tsypkin, “International symposium on robust control”, Avtomat. i Telemekh., 1993, no. 1,  185–187  mathnet
1989
105. B. T. Polyak, Ya. Z. Tsypkin, “Mira Ch. Chaotic dynamics”, Avtomat. i Telemekh., 1989, no. 5,  188–189  mathnet
1969
106. B. T. Polyak, “Corrections to the paper “Semicontinuity of integral functionals and existence theorems on extremal problems”, Mat. Sb. (N.S.), 78(120) (1969), 65–84”, Mat. Sb. (N.S.), 80(122):4(12) (1969),  616  mathnet  mathscinet  zmath; Math. USSR-Sb., 9:4 (1969), 570
1967
107. E. B. Dynkin, A. N. Kolmogorov, B. T. Polyak, M. I. Freidlin, “Igor' Vladimirovich Girsanov (obituary)”, Teor. Veroyatnost. i Primenen., 12:3 (1967),  532–535  mathnet; Theory Probab. Appl., 12:3 (1967), 482–486

Presentations in Math-Net.Ru
1. Заседание посвящено 100-летию Александра Семёновича Кронрода
V. M. Tikhomirov, V. L. Arlazarov, B. T. Polyak, P. V. Semenov, M. A. Kronrod
Meetings of the Moscow Mathematical Society
November 2, 2021 18:30   
2. Оптимизация и управление: взаимные связи
B. T. Polyak
All-Moscow regular scientific seminar "Control Theory and Optimization"
September 21, 2021 11:30
3. Оптимизация четырехзвенного механизма Чебышева
B. T. Polyak,
All-Moscow regular scientific seminar "Control Theory and Optimization"
March 2, 2021 11:30
4. Подавление внешних возмущений как задача оптимизации
B. T. Polyak, M. V. Khlebnikov
All-Moscow regular scientific seminar "Control Theory and Optimization"
February 9, 2021 11:30
5. Выбор обратной связи в системах управления как задача оптимизации
B. T. Polyak, I. F. Fatkhullin

May 27, 2020 17:30   
6. Вспоминая старое...
B. T. Polyak
All-Moscow regular scientific seminar "Control Theory and Optimization"
May 5, 2020 11:30   
7. Обратная связь как задача оптимизации: управление по выходу (продолжение)
P. S. Shcherbakov, M. V. Khlebnikov, B. T. Polyak
All-Moscow regular scientific seminar "Control Theory and Optimization"
March 17, 2020 11:30
8. Обратная связь как задача оптимизации: управление по выходу
P. S. Shcherbakov, M. V. Khlebnikov, B. T. Polyak
All-Moscow regular scientific seminar "Control Theory and Optimization"
March 10, 2020 11:30
9. Обратная связь как задача оптимизации: линейно-квадратичный регулятор
I. F. Fatkhullin, B. T. Polyak
All-Moscow regular scientific seminar "Control Theory and Optimization"
March 3, 2020 11:30
10. Минимизация на сфере методами проекции градиента и условного градиента
B. T. Polyak, A. A. Tremba
All-Moscow regular scientific seminar "Control Theory and Optimization"
September 25, 2018 11:30
11. Эффекты всплеска в линейных разностных уравнениях
P. S. Shcherbakov, B. T. Polyak, G. V. Smirnov
All-Moscow regular scientific seminar "Control Theory and Optimization"
February 20, 2018 11:30
12. Возможность больших уклонений в алгоритмах оптимизации
B. T. Polyak
All-Moscow regular scientific seminar "Control Theory and Optimization"
October 31, 2017 11:30
13. Possibility of large deviations in optimization algorithms
B. T. Polyak

October 27, 2017 18:00
14. Многомерное пространство опровергает нашу интуицию: неудачи метода Монте-Карло для оптимизации
B. T. Polyak
Mathematical Workshop of the School of Applied Mathematics and Computer Science (MIPT)
March 3, 2017 18:30   
15. Решение недоопределённых нелинейных систем уравнений
B. T. Polyak, A. A. Tremba
All-Moscow regular scientific seminar "Control Theory and Optimization"
February 7, 2017 11:30   
16. Beyond convexity: solving nonlinear underdetermined equations (Workshop "Three oracles")
B. T. Polyak, A. A. Tremba
Problems in Stochastic Analysis
December 28, 2016 10:00   
17. Оптимизация и асимптотическая устойчивость
B. T. Polyak
All-Moscow regular scientific seminar "Control Theory and Optimization"
April 5, 2016 11:30
18. Квадратичный мир
B. T. Polyak
Problems in Stochastic Analysis
December 23, 2015 11:00   
19. Исследование устойчивости энергосистемы с однополярным электромагнитным тормозом
B. T. Polyak, Kuznetsov Oleg Nikolaevich, Tchumatchenko Vitaly Valer'evich
All-Moscow regular scientific seminar "Control Theory and Optimization"
September 15, 2015 11:30   
20. Quadratic transformations: convexity vs nonconvexity
B. T. Polyak
Workshop “Frontiers of High Dimensional Statistics, Optimization, and Econometrics”
February 27, 2015 10:45   
21. Квадратичные отображения: выпуклость или невыпуклость?
B. T. Polyak, P. S. Shcherbakov
All-Moscow regular scientific seminar "Control Theory and Optimization"
February 17, 2015 11:30
22. Построение множества Парето
B. T. Polyak
PreMoLab Seminar
October 30, 2013 17:00   
23. Robust Principal Component Analysis
B. T. Polyak
PreMoLab Seminar
May 16, 2013
24. В окрестностях Монте-Карло. Часть 1
B. T. Polyak
Mathematical Seminar
March 6, 2012   
25. В окрестностях Монте-Карло. Часть 2
B. T. Polyak
Mathematical Seminar
March 6, 2012   

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