Boris T. Polyak

71 papers C 2Journal 45Unranked 23
YearRankTypeTitle / Venue / Authors
2023 J jnl
Stopping Rules for Gradient Methods for Non-convex Problems with Additive Noise in Gradient.
J. Optim. Theory Appl.
Fedor S. Stonyakin, Ilya A. Kuruzov, Boris T. Polyak
2022 J jnl
Erratum to: Observer-Aided Output Feedback Synthesis as an Optimization Problem.
Autom. Remote. Control.
Boris T. Polyak, Mikhail V. Khlebnikov
2022 J jnl
New Criteria for Tuning PID Controllers.
Autom. Remote. Control.
Boris T. Polyak, Mikhail V. Khlebnikov
2022 J jnl
Observer-Aided Output Feedback Synthesis as an Optimization Problem.
Autom. Remote. Control.
Boris T. Polyak, Mikhail V. Khlebnikov
2022 J jnl
Smooth Monotone Stochastic Variational Inequalities and Saddle Point Problems - Survey.
CoRR
Aleksandr Beznosikov, Boris T. Polyak, Eduard Gorbunov, Dmitry Kovalev, Alexander V. Gasnikov
2021 J jnl
Linear Matrix Inequalities in Control Systems with Uncertainty.
Autom. Remote. Control.
Boris T. Polyak, Mikhail V. Khlebnikov, Pavel Shcherbakov
2021 J jnl
Optimizing Static Linear Feedback: Gradient Method.
SIAM J. Control. Optim.
Ilyas Fatkhullin, Boris T. Polyak
2021 J jnl
Static Controller Synthesis for Peak-to-Peak Gain Minimization as an Optimization Problem.
Autom. Remote. Control.
Boris T. Polyak, Mikhail V. Khlebnikov
2020 J jnl
New versions of Newton method: step-size choice, convergence domain and under-determined equations.
Optim. Methods Softw.
Boris T. Polyak, Andrey A. Tremba
2020 J jnl
Sparse solutions of optimal control via Newton method for under-determined systems.
J. Glob. Optim.
Boris T. Polyak, Andrey A. Tremba
2020 — conf
Sparse solutions of optimal control with L1-objective.
ECC
Boris T. Polyak, Andrey A. Tremba
2019 J jnl
Minimum Fuel-Consumption Stabilization of a Spacecraft at the Lagrangian Points.
Autom. Remote. Control.
Boris T. Polyak, L. A. Shalby
2019 J jnl
Transient Response in Matrix Discrete-Time Linear Systems.
Autom. Remote. Control.
Boris T. Polyak, Georgi V. Smirnov
2018 J jnl
Optimisation and asymptotic stability.
Int. J. Control
Boris T. Polyak, Pavel S. Shcherbakov
2018 J jnl
Peak Effects in Stable Linear Difference Equations.
CoRR
Boris T. Polyak, Pavel S. Shcherbakov, Georgi Smirnov
2017 J jnl
On Existence of Equilibria of Multi-Port Linear AC Networks With Constant-Power Loads.
IEEE Trans. Circuits Syst. I Regul. Pap.
Juan E. Machado, Robert Griñó, Nikita E. Barabanov, Romeo Ortega, Boris T. Polyak
2017 J jnl
Principle component analysis: Robust versions.
Autom. Remote. Control.
Boris T. Polyak, Mikhail V. Khlebnikov
2017 J jnl
Stability and synchronization of oscillators: New Lyapunov functions.
Autom. Remote. Control.
Boris T. Polyak, Yana I. Kvinto
2017 J jnl
Why Does Monte Carlo Fail to Work Properly in High-Dimensional Optimization Problems?
J. Optim. Theory Appl.
Boris T. Polyak, Pavel S. Shcherbakov
2016 J jnl
Large deviations for non-zero initial conditions in linear systems.
Autom.
Boris T. Polyak, Georgi Smirnov
2016 J jnl
On Existence and Stability of Equilibria of Linear Time-Invariant Systems With Constant Power Loads.
IEEE Trans. Circuits Syst. I Regul. Pap.
Nikita E. Barabanov, Romeo Ortega, Robert Griñó, Boris T. Polyak
2016 — conf
On existence and stability of equilibria of DC LTI circuits with constant power loads.
ECC
Nikita E. Barabanov, Romeo Ortega, Robert Griñó, Boris T. Polyak
2016 J jnl
Stability study of a power system with unipolar electromagnetic brake.
Autom. Remote. Control.
Boris T. Polyak, Oleg N. Kuznetsov, V. V. Chumachenko
2015 J jnl
Large deviations in linear control systems with nonzero initial conditions.
Autom. Remote. Control.
Boris T. Polyak, Andrey A. Tremba, Mikhail V. Khlebnikov, Pavel S. Shcherbakov, Georgi V. Smirnov
2015 — ch.
Stability and Performance of Complex Systems Affected by Parametric Uncertainty.
Encyclopedia of Systems and Control
Boris T. Polyak, Pavel S. Shcherbakov
2014 J jnl
Random sampling: Billiard Walk algorithm.
Eur. J. Oper. Res.
Elena N. Gryazina, Boris T. Polyak
2014 J jnl
Sparse feedback in linear control systems.
Autom. Remote. Control.
Boris T. Polyak, Mikhail V. Khlebnikov, Pavel S. Shcherbakov
2013 — conf
An LMI approach to structured sparse feedback design in linear control systems.
ECC
Boris T. Polyak, Mikhail V. Khlebnikov, Pavel S. Shcherbakov
2012 — conf
Robust eigenvector of a stochastic matrix with application to PageRank.
CDC
Anatoli B. Juditsky, Boris T. Polyak
2011 — conf
On the accuracy of l1-filtering of signals with block-sparse structure.
NIPS
Anatoli Iouditski, Fatma Kilinç-Karzan, Arkadi Nemirovski, Boris T. Polyak
2011 J jnl
Randomized methods based on new Monte Carlo schemes for control and optimization.
Ann. Oper. Res.
Boris T. Polyak, Elena N. Gryazina
2010 J jnl
A Randomized Cutting Plane Method with Probabilistic Geometric Convergence.
SIAM J. Optim.
Fabrizio Dabbene, Pavel S. Shcherbakov, Boris T. Polyak
2010 — conf
Markov Chain Monte Carlo method exploiting barrier functions with applications to control and optimization.
CACSD
Boris T. Polyak, Elena N. Gryazina
2010 C conf
Mixed LMI/randomized methods for static output feedback control design.
ACC
Denis Arzelier, Elena N. Gryazina, Dimitri Peaucelle, Boris T. Polyak
2009 — conf
A randomized algorithm for finding eigenvector of stochastic matrix with application to PageRank problem.
CCA/ISIC
Alexander V. Nazin, Boris T. Polyak
2009 — conf
Adaptive randomized algorithm for finding eigenvector of stochastic matrix with application to PageRank.
CDC
Alexander V. Nazin, Boris T. Polyak
2009 C conf
Ellipsoidal approximations to attraction domains of linear systems with bounded control.
ACC
Boris T. Polyak, Pavel Shcherbakov
2009 — conf
Robust stabilization via Hit-and-Run techniques.
CCA/ISIC
Boris T. Polyak, Elena N. Gryazina
2008 — conf
A randomized cutting plane scheme with geometric convergence: Probabilistic analysis and SDP applications.
CDC
Fabrizio Dabbene, Pavel S. Shcherbakov, Boris T. Polyak
2007 — conf
A randomized method for solving semidefinite programs.
ALCOSP
Boris T. Polyak, Pavel S. Shcherbakov
2007 — conf
Fixed-order controller design for SISO systems using Monte Carlo technique.
ALCOSP
Yana I. Petrikevich, Boris T. Polyak, Pavel S. Shcherbakov
2007 J jnl
Newton's method and its use in optimization.
Eur. J. Oper. Res.
Boris T. Polyak
2007 J jnl
On the complete instability of interval polynomials.
Syst. Control. Lett.
Fabrizio Dabbene, Boris T. Polyak, Roberto Tempo
2006 J jnl
Cubic regularization of Newton method and its global performance.
Math. Program.
Yurii E. Nesterov, Boris T. Polyak
2006 — conf
On the Complete Instability of Interval Polynomials.
CDC
Fabrizio Dabbene, Boris T. Polyak, Roberto Tempo
2006 — conf
Output Feedback Controllers Synthesis with Practical Pole Clustering for Descriptor Systems.
ICICIC (1)
Ching-Hsiang Lee, Lin Hong, Chun-Hsiung Fang, Boris T. Polyak
2006 — conf
Rejection of Bounded Disturbances via Invariant Ellipsoids Technique.
CDC
Boris T. Polyak, Alexander V. Nazin, Michael V. Topunov, Sergey A. Nazin
2006 J jnl
Stability regions in the parameter space: D-decomposition revisited.
Autom.
Elena N. Gryazina, Boris T. Polyak
2005 — conf
Geometry of the stability domain in the parameter space: D-decomposition technique.
CDC/ECC
Elena N. Gryazina, Boris T. Polyak
2004 J jnl
Ellipsoidal parameter or state estimation under model uncertainty.
Autom.
Boris T. Polyak, Sergey A. Nazin, Cécile Durieu, Eric Walter
2004 J jnl
Interval solutions for interval algebraic equations.
Math. Comput. Simul.
Boris T. Polyak, Sergey A. Nazin
2003 J jnl
Recursive algorithms for inner ellipsoidal approximation of convex polytopes.
Autom.
Fabrizio Dabbene, Paolo Gay, Boris T. Polyak
2002 — conf
A superstability approach to synthesizing low order suboptimal L
CDC
Mario Sznaier, Boris T. Polyak, A. Halpern, Constantino M. Lagoa
2002 J jnl
History of mathematical programming in the USSR: analyzing the phenomenon.
Math. Program.
Boris T. Polyak
2002 J jnl
Optimization-based design of fixed-order controllers for command following.
Autom.
Mark E. Halpern, Boris T. Polyak
2001 J jnl
Probabilistic robust design with linear quadratic regulators.
Syst. Control. Lett.
Boris T. Polyak, Roberto Tempo
2001 J jnl
Stochastic algorithms for exact and approximate feasibility of robust LMIs.
IEEE Trans. Autom. Control.
Giuseppe Carlo Calafiore, Boris T. Polyak
2000 J jnl
Discussion on: 'Multiobjective L
Eur. J. Control
Boris T. Polyak, Wassim M. Haddad, Vijaysekhar Chellaboina, Rohit Kumar
2000 — conf
Fast algorithms for exact and approximate feasibility of robust LMIs.
CDC
Giuseppe Carlo Calafiore, Boris T. Polyak
2000 — conf
Inner ellipsoidal approximation of membership set: a fast recursive algorithm.
CDC
Fabrizio Dabbene, Paolo Gay, Boris T. Polyak
2000 — conf
Optimal tracking with fixed order controllers.
CDC
Mark E. Halpern, Boris T. Polyak
2000 — conf
Probabilistic robust design with linear quadratic regulators.
CDC
Boris T. Polyak, Roberto Tempo
2000 — conf
Random spherical uncertainty in estimation and robustness.
CDC
Boris T. Polyak, Pavel S. Shcherbakov
2000 J jnl
Random spherical uncertainty in estimation and robustness.
IEEE Trans. Autom. Control.
Boris T. Polyak, Pavel S. Shcherbakov
1999 J jnl
High-Gain Robust Control.
Eur. J. Control
Yakov Z. Tsypkin, Boris T. Polyak
1999 J jnl
Robust stability and design of linear discrete-time SISO systems under l
IEEE Trans. Autom. Control.
Boris T. Polyak, Mark E. Halpern
1998 — conf
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
Boris T. Polyak, Pavel S. Shcherbakov
1996 J jnl
Multiplying Disks: Robust Stability of a Cascade Connection.
Eur. J. Control
Boris T. Polyak, A. N. Vishnyakov
1995 J jnl
Necessary and sufficient conditions for robust stability of linear systems with multiaffine uncertainty structure.
IEEE Trans. Autom. Control.
Boris T. Polyak, Jacob Kogan
1994 J jnl
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.
Boris T. Polyak, Yakov Z. Tsypkin, Yunqing Shi, K. K. Yen, C. M. Chen
1992 J jnl
Optimal and robust kernel algorithms for passive stochastic approximation.
IEEE Trans. Inf. Theory
Alexander V. Nazin, Boris T. Polyak, Alexandre B. Tsybakov