Polyak Boris Teodorovich

Publications in Math-Net.Ru

1. New criteria for tuning PID controllers
   
   Avtomat. i Telemekh., 2022, no. 11,  62–82
2. Observer-aided output feedback synthesis as an optimization problem
   
   Avtomat. i Telemekh., 2022, no. 3,  7–32
3. Static controller synthesis for peak-to-peak gain minimization as an optimization problem
   
   Avtomat. i Telemekh., 2021, no. 9,  86–115
4. Linear matrix inequalities in control systems with uncertainty
   
   Avtomat. i Telemekh., 2021, no. 1,  3–54
5. Use of projective coordinate descent in the Fekete problem
   
   Zh. Vychisl. Mat. Mat. Fiz., 60:5 (2020),  815–827
6. Minimum fuel-consumption stabilization of a spacecraft at the Lagrangian points
   
   Avtomat. i Telemekh., 2019, no. 12,  160–172
7. Transient response in matrix discrete-time linear systems
   
   Avtomat. i Telemekh., 2019, no. 9,  112–121
8. The 100th birthday of Yakov Zalmanovich Tsypkin
   
   Avtomat. i Telemekh., 2019, no. 9,  6–8
9. Stability and synchronization of oscillators: new Lyapunov functions
   
   Avtomat. i Telemekh., 2017, no. 7,  76–85
10. Principle component analysis: robust versions
    
    Avtomat. i Telemekh., 2017, no. 3,  130–148
11. Stability study of a power system with unipolar electromagnetic brake
    
    Avtomat. i Telemekh., 2016, no. 9,  58–69
12. Large deviations in linear control systems with nonzero initial conditions
    
    Avtomat. i Telemekh., 2015, no. 6,  18–41
13. Sparse feedback in linear control systems
    
    Avtomat. i Telemekh., 2014, no. 12,  13–27
14. Scientometrics: who is the patient for this medicine?
    
    UBS, 44 (2013),  161–170
15. Regularization-based solution of the PageRank problem for large matrices
    
    Avtomat. i Telemekh., 2012, no. 11,  144–166
16. Optimization of linear systems subject to bounded exogenous disturbances: The invariant ellipsoid technique
    
    Avtomat. i Telemekh., 2011, no. 11,  9–59
17. Randomized algorithm to determine the eigenvector of a stochastic matrix with application to the PageRank problem
    
    Avtomat. i Telemekh., 2011, no. 2,  131–141
18. Research on automatic control theory
    
    Probl. Upr., 2009, no. 3.1,  13–18
19. $D$-decomposition technique state-of-the-art
    
    Avtomat. i Telemekh., 2008, no. 12,  3–40
20. Suppression of bounded exogenous disturbances: Output feedback
    
    Avtomat. i Telemekh., 2008, no. 5,  72–90
21. Multidimensional stability domain of special polynomial families
    
    Avtomat. i Telemekh., 2007, no. 12,  38–52
22. Ellipsoid-based parametric estimation in the linear multidimensional systems with uncertain model description
    
    Avtomat. i Telemekh., 2007, no. 6,  67–80
23. Rejection of bounded exogenous disturbances by the method of invariant ellipsoids
    
    Avtomat. i Telemekh., 2007, no. 3,  106–125
24. Design of the low-order controllers by the $H_\infty$ criterion: A parametric approach
    
    Avtomat. i Telemekh., 2007, no. 3,  94–105
25. The $D$-decomposition technique for linear matrix inequalities
    
    Avtomat. i Telemekh., 2006, no. 11,  159–174
26. Using predictive control to synchronize chaotic systems
    
    Avtomat. i Telemekh., 2005, no. 12,  40–50
27. Stabilizing chaos with predictive control
    
    Avtomat. i Telemekh., 2005, no. 11,  99–112
28. Hard problems in linear control theory: possible approaches to solution
    
    Avtomat. i Telemekh., 2005, no. 5,  7–46
29. On convergence of external ellipsoidal approximations of the reachability domains of discrete dynamic linear systems
    
    Avtomat. i Telemekh., 2004, no. 8,  39–61
30. Extended superstability in control theory
    
    Avtomat. i Telemekh., 2004, no. 4,  70–80
31. Newton–Kantorovich method and its global convergence
    
    Zap. Nauchn. Sem. POMI, 312 (2004),  256–274
32. Superstable Linear Control Systems. II. Design
    
    Avtomat. i Telemekh., 2002, no. 11,  56–75
33. Superstable Linear Control Systems. I. Analysis
    
    Avtomat. i Telemekh., 2002, no. 8,  37–53
34. Minimization of Overshoot in Linear Discrete-Time Systems via Low-Order Controllers
    
    Avtomat. i Telemekh., 2001, no. 4,  98–108
35. Local programming
    
    Zh. Vychisl. Mat. Mat. Fiz., 41:9 (2001),  1324–1331
36. Synthesis of low-order controllers for discrete control systems under nonrandom perturbations
    
    Avtomat. i Telemekh., 2000, no. 9,  112–119
37. Synthesis of low-order controllers by the $H^{\infty}$ and the maximum robustness criteria
    
    Avtomat. i Telemekh., 1999, no. 3,  119–130
38. Frequency Characteristics under Parametric Uncertainty
    
    Avtomat. i Telemekh., 1997, no. 4,  155–174
39. A probabilistic approach to the problem of the stability of interval matrices
    
    Dokl. Akad. Nauk, 353:4 (1997),  456–458
40. A Probabilistic Approach to Robust Stability of Time Delay Systems
    
    Avtomat. i Telemekh., 1996, no. 12,  97–108
41. Stability and Robust Stability of Uniform Systems
    
    Avtomat. i Telemekh., 1996, no. 11,  91–104
42. Algorithms for matrix estimation
    
    Avtomat. i Telemekh., 1995, no. 11,  122–139
43. Gain margin for a cascade of uncertain components
    
    Avtomat. i Telemekh., 1995, no. 9,  93–103
44. Estimation of the measure of stable polynomials in an interval family
    
    Avtomat. i Telemekh., 1995, no. 7,  108–115
45. Robust stability of a class of systems with distributed parameters
    
    Dokl. Akad. Nauk, 341:4 (1995),  463–465
46. Necessary conditions for stability of polynomials and their utilization
    
    Avtomat. i Telemekh., 1994, no. 11,  113–119
47. Robust aperiodicity
    
    Dokl. Akad. Nauk, 335:3 (1994),  304–307
48. Robust stability of a chain of simple links
    
    Avtomat. i Telemekh., 1993, no. 12,  115–127
49. The robust Nyquist criterion
    
    Avtomat. i Telemekh., 1992, no. 7,  25–31
50. A Family of Asymptotically Optimal Methods for Choosing the Order of a Projective Regression Estimate
    
    Teor. Veroyatnost. i Primenen., 37:3 (1992),  502–512
51. Robust $D$-partition
    
    Avtomat. i Telemekh., 1991, no. 11,  41–53
52. Ellipsoidal estimation based on a generalized criterion
    
    Avtomat. i Telemekh., 1991, no. 9,  133–145
53. Robust stability under complex perturbations of the parameters
    
    Avtomat. i Telemekh., 1991, no. 8,  45–55
54. Robust stability of linear discrete systems
    
    Dokl. Akad. Nauk SSSR, 316:4 (1991),  842–846
55. Frequency domain criteria for robust stability and aperiodicity of linear systems
    
    Avtomat. i Telemekh., 1990, no. 9,  45–54
56. A new method of stochastic approximation type
    
    Avtomat. i Telemekh., 1990, no. 7,  98–107
57. Optimal Order of Accuracy of Search Algorithms in Stochastic Optimization
    
    Probl. Peredachi Inf., 26:2 (1990),  45–53
58. Asymptotic optimality of the $C_p$-test for the orthogonal series estimation of regression
    
    Teor. Veroyatnost. i Primenen., 35:2 (1990),  305–317
59. Passive stochastic approximation
    
    Avtomat. i Telemekh., 1989, no. 11,  127–134
60. Optimal projection estimates for a regression function of unknown smoothness
    
    Dokl. Akad. Nauk SSSR, 304:2 (1989),  297–301
61. Choice of the regression model order
    
    Avtomat. i Telemekh., 1988, no. 11,  113–129
62. Optimal algorithms for stochastic optimization under multiplicative noise
    
    Dokl. Akad. Nauk SSSR, 284:3 (1985),  564–567
63. Convergence Rate of Nonparametric Estimates of Maximum-Likelihood Type
    
    Probl. Peredachi Inf., 21:4 (1985),  17–33
64. Study of algorithms for estimation of autoregression coefficients
    
    Avtomat. i Telemekh., 1984, no. 11,  49–57
65. Criterial algorithms of stochastic optimization
    
    Avtomat. i Telemekh., 1984, no. 6,  95–104
66. Signal Processing by the Nonparametric Maximum-Likelihood Method
    
    Probl. Peredachi Inf., 20:3 (1984),  29–46
67. Estimators of maximum likelihood type for nonparametric regression
    
    Dokl. Akad. Nauk SSSR, 273:6 (1983),  1310–1314
68. Optimal algorithms for criterial optimization under conditions of uncertainty
    
    Dokl. Akad. Nauk SSSR, 273:2 (1983),  315–318
69. Robust pseudogradient adaptation algorithms
    
    Avtomat. i Telemekh., 1980, no. 10,  91–97
70. Optimal pseudogradient adaptation algorithms
    
    Avtomat. i Telemekh., 1980, no. 8,  74–84
71. Optimal pseudogradient stochastic-optimization algorithms
    
    Dokl. Akad. Nauk SSSR, 250:5 (1980),  1084–1087
72. Adaptive estimation algorithms: convergence, optimality, stability
    
    Avtomat. i Telemekh., 1979, no. 3,  71–84
73. Methods for solving constrained extremum problems in the presence of random noise
    
    Zh. Vychisl. Mat. Mat. Fiz., 19:1 (1979),  70–78
74. Convergence and rate of convergence of interative stochastic algorithms. II. The linear case
    
    Avtomat. i Telemekh., 1977, no. 4,  101–107
75. Convergence and rate of convergence in iterative stochastic processes. I. The general case
    
    Avtomat. i Telemekh., 1976, no. 12,  83–94
76. On the solution of variational inequalities
    
    Dokl. Akad. Nauk SSSR, 219:5 (1974),  1038–1041
77. Attainable accuracy of adaptation algorithms
    
    Dokl. Akad. Nauk SSSR, 218:3 (1974),  532–535
78. Minimization methods in the presence of constraints
    
    Itogi Nauki i Tekhn. Ser. Mat. Anal., 12 (1974),  147–197
79. A method of penalty estimates for conditional extremum problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 13:1 (1973),  34–46
80. Convergence of the methods of feasible directions in extremal problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 11:4 (1971),  855–869
81. The rate of convergence of the penalty function method
    
    Zh. Vychisl. Mat. Mat. Fiz., 11:1 (1971),  3–11
82. 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
83. Semicontinuity of integral functionals and existence theorems on extremal problems
    
    Mat. Sb. (N.S.), 78(120):1 (1969),  65–84
84. The conjugate gradient method in extremal problems
    
    Zh. Vychisl. Mat. Mat. Fiz., 9:4 (1969),  807–821
85. Minimization of nonsmooth functionals
    
    Zh. Vychisl. Mat. Mat. Fiz., 9:3 (1969),  509–521
86. A general method for solving extremal problems
    
    Dokl. Akad. Nauk SSSR, 174:1 (1967),  33–36
87. The method of projections for finding the common point of convex sets
    
    Zh. Vychisl. Mat. Mat. Fiz., 7:6 (1967),  1211–1228
88. Convergence of minimizing sequences in conditional extremum problems
    
    Dokl. Akad. Nauk SSSR, 168:5 (1966),  997–1000
89. Existence theorems and convergence of minimizing sequences for extremal problems with constraints
    
    Dokl. Akad. Nauk SSSR, 166:2 (1966),  287–290
90. Constrained minimization methods
    
    Zh. Vychisl. Mat. Mat. Fiz., 6:5 (1966),  787–823
91. Gradient methods for solving equations and inequalities
    
    Zh. Vychisl. Mat. Mat. Fiz., 4:6 (1964),  995–1005
92. Some methods of speeding up the convergence of iteration methods
    
    Zh. Vychisl. Mat. Mat. Fiz., 4:5 (1964),  791–803
93. Gradient methods for minimizing functionals
    
    Zh. Vychisl. Mat. Mat. Fiz., 3:4 (1963),  643–653


94. Erratum to: Observer-aided output feedback synthesis as an optimization problem
    
    Avtomat. i Telemekh., 2022, no. 11,  167–168
95. 19th World Congress of IFAC
    
    Avtomat. i Telemekh., 2015, no. 2,  150–156
96. 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
97. First Traditional Russian Youth Summer School “Control, Information, and Optimization”
    
    Avtomat. i Telemekh., 2009, no. 11,  172–174
98. 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
99. 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
100. Fifteenth International IFAC Congress
     
     Avtomat. i Telemekh., 2003, no. 1,  186–190
101. 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
102. 4th Russion-Swedish Control Conference
     
     Avtomat. i Telemekh., 2001, no. 7,  219–221
103. Международный симпозиум “Робастность в идентификации и управлении” (Сиена, Италия, 30 июля – 2 августа 1998 г.)
     
     Avtomat. i Telemekh., 1999, no. 8,  189–190
104. International symposium on robust control
     
     Avtomat. i Telemekh., 1993, no. 1,  185–187
105. Mira Ch. Chaotic dynamics
     
     Avtomat. i Telemekh., 1989, no. 5,  188–189
106. 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
107. Igor' Vladimirovich Girsanov (obituary)
     
     Teor. Veroyatnost. i Primenen., 12:3 (1967),  532–535