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Boris T. Polyak
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2020 – today
- 2023
- [j43]Fedor S. Stonyakin, Ilya A. Kuruzov, Boris T. Polyak:
Stopping Rules for Gradient Methods for Non-convex Problems with Additive Noise in Gradient. J. Optim. Theory Appl. 198(2): 531-551 (2023) - 2022
- [j42]Boris T. Polyak, Mikhail V. Khlebnikov:
Observer-Aided Output Feedback Synthesis as an Optimization Problem. Autom. Remote. Control. 83(3): 303-324 (2022) - [j41]Boris T. Polyak, Mikhail V. Khlebnikov:
New Criteria for Tuning PID Controllers. Autom. Remote. Control. 83(11): 1724-1741 (2022) - [j40]Boris T. Polyak, Mikhail V. Khlebnikov:
Erratum to: Observer-Aided Output Feedback Synthesis as an Optimization Problem. Autom. Remote. Control. 83(11): 1818-1819 (2022) - [i2]Aleksandr Beznosikov, Boris T. Polyak, Eduard Gorbunov, Dmitry Kovalev, Alexander V. Gasnikov:
Smooth Monotone Stochastic Variational Inequalities and Saddle Point Problems - Survey. CoRR abs/2208.13592 (2022) - 2021
- [j39]Boris T. Polyak, Mikhail V. Khlebnikov, Pavel Shcherbakov:
Linear Matrix Inequalities in Control Systems with Uncertainty. Autom. Remote. Control. 82(1): 1-40 (2021) - [j38]Boris T. Polyak, Mikhail V. Khlebnikov:
Static Controller Synthesis for Peak-to-Peak Gain Minimization as an Optimization Problem. Autom. Remote. Control. 82(9): 1530-1553 (2021) - [j37]Ilyas Fatkhullin
, Boris T. Polyak:
Optimizing Static Linear Feedback: Gradient Method. SIAM J. Control. Optim. 59(5): 3887-3911 (2021) - 2020
- [j36]Boris T. Polyak, Andrey A. Tremba
Sparse solutions of optimal control via Newton method for under-determined systems. J. Glob. Optim. 76(3): 613-623 (2020) - [j35]Boris T. Polyak
New versions of Newton method: step-size choice, convergence domain and under-determined equations. Optim. Methods Softw. 35(6): 1272-1303 (2020) - [c25]Boris T. Polyak, Andrey A. Tremba:
Sparse solutions of optimal control with L1-objective. ECC 2020: 1707-1712
2010 – 2019
- 2019
- [j34]Boris T. Polyak, Georgi V. Smirnov:
Transient Response in Matrix Discrete-Time Linear Systems. Autom. Remote. Control. 80(9): 1645-1652 (2019) - [j33]Boris T. Polyak, L. A. Shalby:
Minimum Fuel-Consumption Stabilization of a Spacecraft at the Lagrangian Points. Autom. Remote. Control. 80(12): 2217-2228 (2019) - 2018
- [j32]Boris T. Polyak, Pavel S. Shcherbakov
Optimisation and asymptotic stability. Int. J. Control 91(11): 2404-2410 (2018) - [i1]Boris T. Polyak, Pavel S. Shcherbakov, Georgi Smirnov:
Peak Effects in Stable Linear Difference Equations. CoRR abs/1803.00808 (2018) - 2017
- [j31]Boris T. Polyak, Mikhail V. Khlebnikov:
Principle component analysis: Robust versions. Autom. Remote. Control. 78(3): 490-506 (2017) - [j30]Boris T. Polyak, Yana I. Kvinto
Stability and synchronization of oscillators: New Lyapunov functions. Autom. Remote. Control. 78(7): 1234-1242 (2017) - [j29]Boris T. Polyak, Pavel S. Shcherbakov
Why Does Monte Carlo Fail to Work Properly in High-Dimensional Optimization Problems? J. Optim. Theory Appl. 173(2): 612-627 (2017) - [j28]Juan E. Machado
On Existence of Equilibria of Multi-Port Linear AC Networks With Constant-Power Loads. IEEE Trans. Circuits Syst. I Regul. Pap. 64-I(10): 2772-2782 (2017) - 2016
- [j27]Boris T. Polyak, Oleg N. Kuznetsov, V. V. Chumachenko:
Stability study of a power system with unipolar electromagnetic brake. Autom. Remote. Control. 77(9): 1557-1566 (2016) - [j26]Boris T. Polyak, Georgi Smirnov
Large deviations for non-zero initial conditions in linear systems. Autom. 74: 297-307 (2016) - [j25]Nikita E. Barabanov, Romeo Ortega
On Existence and Stability of Equilibria of Linear Time-Invariant Systems With Constant Power Loads. IEEE Trans. Circuits Syst. I Regul. Pap. 63-I(1): 114-121 (2016) - [c24]Nikita E. Barabanov, Romeo Ortega
On existence and stability of equilibria of DC LTI circuits with constant power loads. ECC 2016: 1513-1518 - 2015
- [j24]Boris T. Polyak, Andrey A. Tremba
Large deviations in linear control systems with nonzero initial conditions. Autom. Remote. Control. 76(6): 957-976 (2015) - [r1]Boris T. Polyak, Pavel S. Shcherbakov:
Stability and Performance of Complex Systems Affected by Parametric Uncertainty. Encyclopedia of Systems and Control 2015 - 2014
- [j23]Boris T. Polyak, Mikhail V. Khlebnikov, Pavel S. Shcherbakov
Sparse feedback in linear control systems. Autom. Remote. Control. 75(12): 2099-2111 (2014) - [j22]Elena N. Gryazina, Boris T. Polyak:
Random sampling: Billiard Walk algorithm. Eur. J. Oper. Res. 238(2): 497-504 (2014) - 2013
- [c23]Boris T. Polyak, Mikhail V. Khlebnikov, Pavel S. Shcherbakov:
An LMI approach to structured sparse feedback design in linear control systems. ECC 2013: 833-838 - 2012
- [c22]Anatoli B. Juditsky, Boris T. Polyak:
Robust eigenvector of a stochastic matrix with application to PageRank. CDC 2012: 3171-3176 - 2011
- [j21]Boris T. Polyak, Elena N. Gryazina:
Randomized methods based on new Monte Carlo schemes for control and optimization. Ann. Oper. Res. 189(1): 343-356 (2011) - [c21]Anatoli Iouditski, Fatma Kilinç-Karzan, Arkadi Nemirovski, Boris T. Polyak:
On the accuracy of l1-filtering of signals with block-sparse structure. NIPS 2011: 1260-1268 - 2010
- [j20]Fabrizio Dabbene, Pavel S. Shcherbakov
A Randomized Cutting Plane Method with Probabilistic Geometric Convergence. SIAM J. Optim. 20(6): 3185-3207 (2010) - [c20]Denis Arzelier, Elena N. Gryazina, Dimitri Peaucelle
Mixed LMI/randomized methods for static output feedback control design. ACC 2010: 4683-4688 - [c19]Boris T. Polyak, Elena N. Gryazina:
Markov Chain Monte Carlo method exploiting barrier functions with applications to control and optimization. CACSD 2010: 1553-1557
2000 – 2009
- 2009
- [c18]Alexander V. Nazin, Boris T. Polyak:
A randomized algorithm for finding eigenvector of stochastic matrix with application to PageRank problem. CCA/ISIC 2009: 412-416 - [c17]Boris T. Polyak, Elena N. Gryazina:
Robust stabilization via Hit-and-Run techniques. CCA/ISIC 2009: 537-541 - [c16]Boris T. Polyak, Pavel Shcherbakov
Ellipsoidal approximations to attraction domains of linear systems with bounded control. ACC 2009: 5363-5367 - [c15]Alexander V. Nazin, Boris T. Polyak:
Adaptive randomized algorithm for finding eigenvector of stochastic matrix with application to PageRank. CDC 2009: 127-132 - 2008
- [c14]Fabrizio Dabbene, Pavel S. Shcherbakov
A randomized cutting plane scheme with geometric convergence: Probabilistic analysis and SDP applications. CDC 2008: 3044-3049 - 2007
- [j19]Boris T. Polyak:
Newton's method and its use in optimization. Eur. J. Oper. Res. 181(3): 1086-1096 (2007) - [j18]Fabrizio Dabbene, Boris T. Polyak, Roberto Tempo:
On the complete instability of interval polynomials. Syst. Control. Lett. 56(6): 431-438 (2007) - [c13]Boris T. Polyak, Pavel S. Shcherbakov:
A randomized method for solving semidefinite programs. ALCOSP 2007: 227-231 - [c12]Yana I. Petrikevich, Boris T. Polyak, Pavel S. Shcherbakov:
Fixed-order controller design for SISO systems using Monte Carlo technique. ALCOSP 2007: 375-379 - 2006
- [j17]Elena N. Gryazina, Boris T. Polyak:
Stability regions in the parameter space: D-decomposition revisited. Autom. 42(1): 13-26 (2006) - [j16]Yurii E. Nesterov, Boris T. Polyak:
Cubic regularization of Newton method and its global performance. Math. Program. 108(1): 177-205 (2006) - [c11]Boris T. Polyak, Alexander V. Nazin, Michael V. Topunov, Sergey A. Nazin:
Rejection of Bounded Disturbances via Invariant Ellipsoids Technique. CDC 2006: 1429-1434 - [c10]Fabrizio Dabbene, Boris T. Polyak, Roberto Tempo:
On the Complete Instability of Interval Polynomials. CDC 2006: 3186-3191 - [c9]Ching-Hsiang Lee, Lin Hong, Chun-Hsiung Fang, Boris T. Polyak:
Output Feedback Controllers Synthesis with Practical Pole Clustering for Descriptor Systems. ICICIC (1) 2006: 360-363 - 2005
- [c8]Elena N. Gryazina, Boris T. Polyak:
Geometry of the stability domain in the parameter space: D-decomposition technique. CDC/ECC 2005: 6510-6515 - 2004
- [j15]Boris T. Polyak, Sergey A. Nazin, Cécile Durieu, Eric Walter:
Ellipsoidal parameter or state estimation under model uncertainty. Autom. 40(7): 1171-1179 (2004) - [j14]Boris T. Polyak, Sergey A. Nazin:
Interval solutions for interval algebraic equations. Math. Comput. Simul. 66(2-3): 207-217 (2004) - 2003
- [j13]Fabrizio Dabbene, Paolo Gay
Recursive algorithms for inner ellipsoidal approximation of convex polytopes. Autom. 39(10): 1773-1781 (2003) - 2002
- [j12]Mark E. Halpern
Optimization-based design of fixed-order controllers for command following. Autom. 38(9): 1615-1619 (2002) - [j11]Boris T. Polyak:
History of mathematical programming in the USSR: analyzing the phenomenon. Math. Program. 91(3): 401-416 (2002) - [c7]Mario Sznaier, Boris T. Polyak, A. Halpern, Constantino M. Lagoa:
A superstability approach to synthesizing low order suboptimal L∞-induced controllers for LPV systems. CDC 2002: 1856-1861 - 2001
- [j10]Boris T. Polyak, Roberto Tempo:
Probabilistic robust design with linear quadratic regulators. Syst. Control. Lett. 43(5): 343-353 (2001) - [j9]Giuseppe Carlo Calafiore
Stochastic algorithms for exact and approximate feasibility of robust LMIs. IEEE Trans. Autom. Control. 46(11): 1755-1759 (2001) - 2000
- [j8]Boris T. Polyak, Wassim M. Haddad, VijaySekhar Chellaboina, Rohit Kumar:
Discussion on: 'Multiobjective L1/H∞ Controller Design for Systems with Frequency and Time Domain Constraints'. Eur. J. Control 6(2): 184-185 (2000) - [j7]Boris T. Polyak, Pavel S. Shcherbakov
Random spherical uncertainty in estimation and robustness. IEEE Trans. Autom. Control. 45(11): 2145-2150 (2000) - [c6]Fabrizio Dabbene, Paolo Gay
Inner ellipsoidal approximation of membership set: a fast recursive algorithm. CDC 2000: 209-211 - [c5]Boris T. Polyak, Roberto Tempo:
Probabilistic robust design with linear quadratic regulators. CDC 2000: 1037-1042 - [c4]Boris T. Polyak, Pavel S. Shcherbakov:
Random spherical uncertainty in estimation and robustness. CDC 2000: 3339-3340 - [c3]Mark E. Halpern
Optimal tracking with fixed order controllers. CDC 2000: 3908-3913 - [c2]Giuseppe Carlo Calafiore, Boris T. Polyak:
Fast algorithms for exact and approximate feasibility of robust LMIs. CDC 2000: 5035-5040
1990 – 1999
- 1999
- [j6]Yakov Z. Tsypkin, Boris T. Polyak:
High-Gain Robust Control. Eur. J. Control 5(1): 3-9 (1999) - [j5]Boris T. Polyak, Mark E. Halpern
Robust stability and design of linear discrete-time SISO systems under l1 uncertainties. IEEE Trans. Autom. Control. 44(11): 2076-2080 (1999) - 1998
- [c1]Boris T. Polyak, Pavel S. Shcherbakov:
Numerical search of stable or unstable element in matrix or polynomial families: A unified approach to robustness analysis and stabilization. Robustness in Identification and Control 1998: 344-358 - 1996
- [j4]Boris T. Polyak, A. N. Vishnyakov:
Multiplying Disks: Robust Stability of a Cascade Connection. Eur. J. Control 2(2): 101-111 (1996) - 1995
- [j3]Boris T. Polyak, Jacob Kogan:
Necessary and sufficient conditions for robust stability of linear systems with multiaffine uncertainty structure. IEEE Trans. Autom. Control. 40(7): 1255-1260 (1995) - 1994
- [j2]Boris T. Polyak, Yakov Z. Tsypkin, Yunqing Shi, K. K. Yen, C. M. Chen:
Comments on "Two necessary conditions for a complex polynomial to be strictly Hurwitz and their applications in robust stability analysis" [with reply]. IEEE Trans. Autom. Control. 39(5): 1147-1148 (1994) - 1992
- [j1]Alexander V. Nazin, Boris T. Polyak, Alexandre B. Tsybakov:
Optimal and robust kernel algorithms for passive stochastic approximation. IEEE Trans. Inf. Theory 38(5): 1577-1583 (1992)
Coauthor Index
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