B. T. Polyak, M. V. Khlebnikov, “New criteria for tuning PID controllers”, Avtomat. i Telemekh., 2022, no. 11, 62–82; Autom. Remote Control, 83:11 (2022), 1724–1741
B. T. Polyak, M. V. Khlebnikov, “Observer-aided output feedback synthesis as an optimization problem”, Avtomat. i Telemekh., 2022, no. 3, 7–32; Autom. Remote Control, 83:3 (2022), 303–324
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; Autom. Remote Control, 82:9 (2021), 1530–1553
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; Autom. Remote Control, 82:1 (2021), 1–40
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; Comput. Math. Math. Phys., 60:5 (2020), 795–807
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; Autom. Remote Control, 80:12 (2019), 2217–2228
B. T. Polyak, G. V. Smirnov, “Transient response in matrix discrete-time linear systems”, Avtomat. i Telemekh., 2019, no. 9, 112–121; Autom. Remote Control, 80:9 (2019), 1645–1652
B. T. Polyak, A. V. Nazin, “The 100th birthday of Yakov Zalmanovich Tsypkin”, Avtomat. i Telemekh., 2019, no. 9, 6–8
2017
9.
B. T. Polyak, Ya. I. Kvinto, “Stability and synchronization of oscillators: new Lyapunov functions”, Avtomat. i Telemekh., 2017, no. 7, 76–85; Autom. Remote Control, 78:7 (2017), 1234–1242
B. T. Polyak, M. V. Khlebnikov, “Principle component analysis: robust versions”, Avtomat. i Telemekh., 2017, no. 3, 130–148; Autom. Remote Control, 78:3 (2017), 490–506
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; Autom. Remote Control, 77:9 (2016), 1557–1566
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; Autom. Remote Control, 76:6 (2015), 957–976
B. T. Polyak, M. V. Khlebnikov, P. S. Shcherbakov, “Sparse feedback in linear control systems”, Avtomat. i Telemekh., 2014, no. 12, 13–27; Autom. Remote Control, 75:12 (2014), 2099–2111
B. T. Polyak, A. A. Tremba, “Regularization-based solution of the PageRank problem for large matrices”, Avtomat. i Telemekh., 2012, no. 11, 144–166; Autom. Remote Control, 73:11 (2012), 1877–1894
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; Autom. Remote Control, 72:11 (2011), 2227–2275
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; Autom. Remote Control, 72:2 (2011), 342–352
E. N. Gryazina, B. T. Polyak, A. A. Tremba, “$D$-decomposition technique state-of-the-art”, Avtomat. i Telemekh., 2008, no. 12, 3–40; Autom. Remote Control, 69:12 (2008), 1991–2026
B. T. Polyak, M. V. Topunov, “Suppression of bounded exogenous disturbances: Output feedback”, Avtomat. i Telemekh., 2008, no. 5, 72–90; Autom. Remote Control, 69:5 (2008), 801–818
E. N. Gryazina, B. T. Polyak, “Multidimensional stability domain of special polynomial families”, Avtomat. i Telemekh., 2007, no. 12, 38–52; Autom. Remote Control, 68:12 (2007), 2128–2141
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; Autom. Remote Control, 68:6 (2007), 993–1005
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; Autom. Remote Control, 68:3 (2007), 467–486
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; Autom. Remote Control, 68:3 (2007), 456–466
B. T. Polyak, P. S. Shcherbakov, “The $D$-decomposition technique for linear matrix inequalities”, Avtomat. i Telemekh., 2006, no. 11, 159–174; Autom. Remote Control, 67:11 (2006), 1847–1861
S. V. Efremov, B. T. Polyak, “Using predictive control to synchronize chaotic systems”, Avtomat. i Telemekh., 2005, no. 12, 40–50; Autom. Remote Control, 66:12 (2005), 1905–1915
27.
B. T. Polyak, “Stabilizing chaos with predictive control”, Avtomat. i Telemekh., 2005, no. 11, 99–112; Autom. Remote Control, 66:11 (2005), 1791–1804
B. T. Polyak, P. S. Shcherbakov, “Hard problems in linear control theory: possible approaches to solution”, Avtomat. i Telemekh., 2005, no. 5, 7–46; Autom. Remote Control, 66:5 (2005), 681–718
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; Autom. Remote Control, 65:8 (2004), 1210–1230
B. T. Polyak, “Newton–Kantorovich method and its global convergence”, Zap. Nauchn. Sem. POMI, 312 (2004), 256–274; J. Math. Sci. (N. Y.), 133:4 (2006), 1513–1523
B. T. Polyak, P. S. Shcherbakov, “Superstable Linear Control Systems. II. Design”, Avtomat. i Telemekh., 2002, no. 11, 56–75; Autom. Remote Control, 63:11 (2002), 1745–1763
B. T. Polyak, P. S. Shcherbakov, “Superstable Linear Control Systems. I. Analysis”, Avtomat. i Telemekh., 2002, no. 8, 37–53; Autom. Remote Control, 63:8 (2002), 1239–1254
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; Autom. Remote Control, 62:4 (2001), 597–606
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; 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; Autom. Remote Control, 60:3 (1999), 393–402
O. N. Kiselev, Le Hung Lan, B. T. Polyak, “Frequency Characteristics under Parametric Uncertainty”, Avtomat. i Telemekh., 1997, no. 4, 155–174; Autom. Remote Control, 58:4 (1997), 645–661
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
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; Autom. Remote Control, 57:12 (1996), 1770–1779
B. T. Polyak, Ya. Z. Tsypkin, “Stability and Robust Stability of Uniform Systems”, Avtomat. i Telemekh., 1996, no. 11, 91–104; Autom. Remote Control, 57:11 (1996), 1606–1617
B. T. Polyak, P. S. Shcherbakov, “Algorithms for matrix estimation”, Avtomat. i Telemekh., 1995, no. 11, 122–139; 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; 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; 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
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; Autom. Remote Control, 55:11 (1994), 1644–1649
O. N. Kiselev, B. T. Polyak, “Robust stability of a chain of simple links”, Avtomat. i Telemekh., 1993, no. 12, 115–127; Autom. Remote Control, 54:12 (1993), 1824–1834
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; Theory Probab. Appl., 37:3 (1993), 471–481
O. N. Kiselev, B. T. Polyak, “Ellipsoidal estimation based on a generalized criterion”, Avtomat. i Telemekh., 1991, no. 9, 133–145; Autom. Remote Control, 52:9 (1991), 1281–1292
B. T. Polyak, Ya. Z. Tsypkin, “Robust stability under complex perturbations of the parameters”, Avtomat. i Telemekh., 1991, no. 8, 45–55; Autom. Remote Control, 52:8 (1991), 1069–1077
B. T. Polyak, Ya. Z. Tsypkin, “Robust stability of linear discrete systems”, Dokl. Akad. Nauk SSSR, 316:4 (1991), 842–846; Dokl. Math., 36:2 (1991), 111–113
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; Autom. Remote Control, 51:9 (1990), 1192–1201
B. T. Polyak, A. B. Tsybakov, “Optimal Order of Accuracy of Search Algorithms in Stochastic Optimization”, Probl. Peredachi Inf., 26:2 (1990), 45–53; Problems Inform. Transmission, 26:2 (1990), 126–133
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; Theory Probab. Appl., 35:2 (1990), 293–306
A. V. Nazin, B. T. Polyak, A. B. Tsybakov, “Passive stochastic approximation”, Avtomat. i Telemekh., 1989, no. 11, 127–134; Autom. Remote Control, 50:11 (1989), 1563–1569
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; 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; Autom. Remote Control, 49:11 (1988), 1482–1494
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
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; 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; 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; Autom. Remote Control, 45:6 (1984), 766–774
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; Problems Inform. Transmission, 20:3 (1984), 177–192
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
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
1980
69.
B. T. Polyak, Ya. Z. Tsypkin, “Robust pseudogradient adaptation algorithms”, Avtomat. i Telemekh., 1980, no. 10, 91–97; Autom. Remote Control, 41:10 (1981), 1404–1409
B. T. Polyak, Ya. Z. Tsypkin, “Optimal pseudogradient adaptation algorithms”, Avtomat. i Telemekh., 1980, no. 8, 74–84; Autom. Remote Control, 41:8 (1981), 1101–1110
B. T. Polyak, Ya. Z. Tsypkin, “Adaptive estimation algorithms: convergence, optimality, stability”, Avtomat. i Telemekh., 1979, no. 3, 71–84; Autom. Remote Control, 40:3 (1979), 378–389
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; 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; Autom. Remote Control, 38:4 (1977), 537–542
B. T. Polyak, “Convergence and rate of convergence in iterative stochastic processes. I. The general case”, Avtomat. i Telemekh., 1976, no. 12, 83–94; Autom. Remote Control, 37:12 (1976), 1858–1868
Ya. Z. Tsypkin, B. T. Polyak, “Attainable accuracy of adaptation algorithms”, Dokl. Akad. Nauk SSSR, 218:3 (1974), 532–535
78.
B. T. Polyak, “Minimization methods in the presence of constraints”, Itogi Nauki i Tekhn. Ser. Mat. Anal., 12 (1974), 147–197; J. Soviet Math., 5:1 (1976), 97–128
B. T. Polyak, “Convergence of the methods of feasible directions in extremal problems”, Zh. Vychisl. Mat. Mat. Fiz., 11:4 (1971), 855–869; U.S.S.R. Comput. Math. Math. Phys., 11:4 (1971), 53–70
B. T. Polyak, “The rate of convergence of the penalty function method”, Zh. Vychisl. Mat. Mat. Fiz., 11:1 (1971), 3–11; U.S.S.R. Comput. Math. Math. Phys., 11:1 (1971), 1–12
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; U.S.S.R. Comput. Math. Math. Phys., 10:5 (1970), 42–52
B. T. Polyak, “Semicontinuity of integral functionals and existence theorems on extremal problems”, Mat. Sb. (N.S.), 78(120):1 (1969), 65–84; Math. USSR-Sb., 7:1 (1969), 59–77
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; U.S.S.R. Comput. Math. Math. Phys., 7:6 (1967), 1–24
B. T. Polyak, “Existence theorems and convergence of minimizing sequences for extremal problems with constraints”, Dokl. Akad. Nauk SSSR, 166:2 (1966), 287–290
B. T. Polyak, “Some methods of speeding up the convergence of iteration methods”, Zh. Vychisl. Mat. Mat. Fiz., 4:5 (1964), 791–803; U.S.S.R. Comput. Math. Math. Phys., 4:5 (1964), 1–17
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; 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
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; Autom. Remote Control, 70:11 (2009), 1926–1927
B. T. Polyak, E. N. Gryazina, “First Traditional Russian Youth Summer School “Control, Information, and Optimization””, Avtomat. i Telemekh., 2009, no. 11, 172–174; Autom. Remote Control, 70:11 (2009), 1923–1925
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; Autom. Remote Control, 70:6 (2009), 1086–1087
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; Autom. Remote Control, 66:10 (2005), 1701–1702
A. B. Kurzhanskii, B. T. Polyak, F. L. Chernous'ko, “Fifteenth International IFAC Congress”, Avtomat. i Telemekh., 2003, no. 1, 186–190; Autom. Remote Control, 64:1 (2003), 170–173
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; 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; 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
B. T. Polyak, Ya. Z. Tsypkin, “International symposium on robust control”, Avtomat. i Telemekh., 1993, no. 1, 185–187
1989
105.
B. T. Polyak, Ya. Z. Tsypkin, “Mira Ch. Chaotic dynamics”, Avtomat. i Telemekh., 1989, no. 5, 188–189
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; 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; Theory Probab. Appl., 12:3 (1967), 482–486