Boris T. Polyak

Publication Activity (10 Years)

Years Active: 1992-2023
Publications (10 Years): 21

Top Topics

Initial Conditions

Asymptotic Stability

Top Venues

Autom. Remote. Control.

J. Optim. Theory Appl.

IEEE Trans. Circuits Syst. I Regul. Pap.

Publications

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) (2023)
Boris T. Polyak, Mikhail V. Khlebnikov
Erratum to: Observer-Aided Output Feedback Synthesis as an Optimization Problem. Autom. Remote. Control. 83 (11) (2022)
Boris T. Polyak, Mikhail V. Khlebnikov
New Criteria for Tuning PID Controllers. Autom. Remote. Control. 83 (11) (2022)
Boris T. Polyak, Mikhail V. Khlebnikov
Observer-Aided Output Feedback Synthesis as an Optimization Problem. Autom. Remote. Control. 83 (3) (2022)
Boris T. Polyak, Mikhail V. Khlebnikov, Pavel Shcherbakov
Linear Matrix Inequalities in Control Systems with Uncertainty. Autom. Remote. Control. 82 (1) (2021)
Boris T. Polyak, Mikhail V. Khlebnikov
Static Controller Synthesis for Peak-to-Peak Gain Minimization as an Optimization Problem. Autom. Remote. Control. 82 (9) (2021)
Boris T. Polyak, Andrey A. Tremba
Sparse solutions of optimal control with L1-objective. ECC (2020)
Boris T. Polyak, Andrey A. Tremba
Sparse solutions of optimal control via Newton method for under-determined systems. J. Glob. Optim. 76 (3) (2020)
Boris T. Polyak, Andrey A. Tremba
New versions of Newton method: step-size choice, convergence domain and under-determined equations. Optim. Methods Softw. 35 (6) (2020)
Boris T. Polyak, Georgi V. Smirnov
Transient Response in Matrix Discrete-Time Linear Systems. Autom. Remote. Control. 80 (9) (2019)
Boris T. Polyak, L. A. Shalby
Minimum Fuel-Consumption Stabilization of a Spacecraft at the Lagrangian Points. Autom. Remote. Control. 80 (12) (2019)
Boris T. Polyak, Pavel S. Shcherbakov
Optimisation and asymptotic stability. Int. J. Control 91 (11) (2018)
Boris T. Polyak, Pavel S. Shcherbakov, Georgi Smirnov
Peak Effects in Stable Linear Difference Equations. CoRR (2018)
Boris T. Polyak, Mikhail V. Khlebnikov
Principle component analysis: Robust versions. Autom. Remote. Control. 78 (3) (2017)
Juan E. Machado, Robert Griñó, Nikita E. Barabanov, Romeo Ortega, Boris T. Polyak
On Existence of Equilibria of Multi-Port Linear AC Networks With Constant-Power Loads. IEEE Trans. Circuits Syst. I Regul. Pap. (10) (2017)
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) (2017)
Boris T. Polyak, Yana I. Kvinto
Stability and synchronization of oscillators: New Lyapunov functions. Autom. Remote. Control. 78 (7) (2017)
Boris T. Polyak, Georgi Smirnov
Large deviations for non-zero initial conditions in linear systems. Autom. 74 (2016)
Nikita E. Barabanov, Romeo Ortega, Robert Griñó, Boris T. Polyak
On Existence and Stability of Equilibria of Linear Time-Invariant Systems With Constant Power Loads. IEEE Trans. Circuits Syst. I Regul. Pap. (1) (2016)
Boris T. Polyak, Oleg N. Kuznetsov, V. V. Chumachenko
Stability study of a power system with unipolar electromagnetic brake. Autom. Remote. Control. 77 (9) (2016)
Nikita E. Barabanov, Romeo Ortega, Robert Griñó, Boris T. Polyak
On existence and stability of equilibria of DC LTI circuits with constant power loads. ECC (2016)
Boris T. Polyak, Andrey A. Tremba, Mikhail V. Khlebnikov, Pavel S. Shcherbakov, Georgi V. Smirnov
Large deviations in linear control systems with nonzero initial conditions. Autom. Remote. Control. 76 (6) (2015)
Elena N. Gryazina, Boris T. Polyak
Random sampling: Billiard Walk algorithm. Eur. J. Oper. Res. 238 (2) (2014)
Boris T. Polyak, Mikhail V. Khlebnikov, Pavel S. Shcherbakov
Sparse feedback in linear control systems. Autom. Remote. Control. 75 (12) (2014)
Boris T. Polyak, Mikhail V. Khlebnikov, Pavel S. Shcherbakov
An LMI approach to structured sparse feedback design in linear control systems. ECC (2013)
Anatoli B. Juditsky, Boris T. Polyak
Robust eigenvector of a stochastic matrix with application to PageRank. CDC (2012)
Boris T. Polyak, Elena N. Gryazina
Randomized methods based on new Monte Carlo schemes for control and optimization. Ann. Oper. Res. 189 (1) (2011)
Anatoli Iouditski, Fatma Kilinç-Karzan, Arkadi Nemirovski, Boris T. Polyak
On the accuracy of l1-filtering of signals with block-sparse structure. NIPS (2011)
Denis Arzelier, Elena N. Gryazina, Dimitri Peaucelle, Boris T. Polyak
Mixed LMI/randomized methods for static output feedback control design. ACC (2010)
Fabrizio Dabbene, Pavel S. Shcherbakov, Boris T. Polyak
A Randomized Cutting Plane Method with Probabilistic Geometric Convergence. SIAM J. Optim. 20 (6) (2010)
Boris T. Polyak, Elena N. Gryazina
Markov Chain Monte Carlo method exploiting barrier functions with applications to control and optimization. CACSD (2010)
Boris T. Polyak, Pavel Shcherbakov
Ellipsoidal approximations to attraction domains of linear systems with bounded control. ACC (2009)
Boris T. Polyak, Elena N. Gryazina
Robust stabilization via Hit-and-Run techniques. CCA/ISIC (2009)
Alexander V. Nazin, Boris T. Polyak
Adaptive randomized algorithm for finding eigenvector of stochastic matrix with application to PageRank. CDC (2009)
Alexander V. Nazin, Boris T. Polyak
A randomized algorithm for finding eigenvector of stochastic matrix with application to PageRank problem. CCA/ISIC (2009)
Fabrizio Dabbene, Pavel S. Shcherbakov, Boris T. Polyak
A randomized cutting plane scheme with geometric convergence: Probabilistic analysis and SDP applications. CDC (2008)
Yana I. Petrikevich, Boris T. Polyak, Pavel S. Shcherbakov
Fixed-order controller design for SISO systems using Monte Carlo technique. ALCOSP (2007)
Fabrizio Dabbene, Boris T. Polyak, Roberto Tempo
On the complete instability of interval polynomials. Syst. Control. Lett. 56 (6) (2007)
Boris T. Polyak
Newton's method and its use in optimization. Eur. J. Oper. Res. 181 (3) (2007)
Boris T. Polyak, Pavel S. Shcherbakov
A randomized method for solving semidefinite programs. ALCOSP (2007)
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)
Elena N. Gryazina, Boris T. Polyak
Stability regions in the parameter space: D-decomposition revisited. Autom. 42 (1) (2006)
Fabrizio Dabbene, Boris T. Polyak, Roberto Tempo
On the Complete Instability of Interval Polynomials. CDC (2006)
Yurii E. Nesterov, Boris T. Polyak
Cubic regularization of Newton method and its global performance. Math. Program. 108 (1) (2006)
Boris T. Polyak, Alexander V. Nazin, Michael V. Topunov, Sergey A. Nazin
Rejection of Bounded Disturbances via Invariant Ellipsoids Technique. CDC (2006)
Elena N. Gryazina, Boris T. Polyak
Geometry of the stability domain in the parameter space: D-decomposition technique. CDC/ECC (2005)
Boris T. Polyak, Sergey A. Nazin
Interval solutions for interval algebraic equations. Math. Comput. Simul. 66 (2-3) (2004)
Boris T. Polyak, Sergey A. Nazin, Cécile Durieu, Eric Walter
Ellipsoidal parameter or state estimation under model uncertainty. Autom. 40 (7) (2004)
Fabrizio Dabbene, Paolo Gay, Boris T. Polyak
Recursive algorithms for inner ellipsoidal approximation of convex polytopes. Autom. 39 (10) (2003)
Mark E. Halpern, Boris T. Polyak
Optimization-based design of fixed-order controllers for command following. Autom. 38 (9) (2002)
Mario Sznaier, Boris T. Polyak, A. Halpern, Constantino M. Lagoa
-induced controllers for LPV systems. CDC (2002)
Boris T. Polyak
History of mathematical programming in the USSR: analyzing the phenomenon. Math. Program. 91 (3) (2002)
Boris T. Polyak, Roberto Tempo
Probabilistic robust design with linear quadratic regulators. Syst. Control. Lett. 43 (5) (2001)
Giuseppe Carlo Calafiore, Boris T. Polyak
Stochastic algorithms for exact and approximate feasibility of robust LMIs. IEEE Trans. Autom. Control. 46 (11) (2001)
Mark E. Halpern, Boris T. Polyak
Optimal tracking with fixed order controllers. CDC (2000)
Fabrizio Dabbene, Paolo Gay, Boris T. Polyak
Inner ellipsoidal approximation of membership set: a fast recursive algorithm. CDC (2000)
Boris T. Polyak, Pavel S. Shcherbakov
Random spherical uncertainty in estimation and robustness. CDC (2000)
Boris T. Polyak, Wassim M. Haddad, VijaySekhar Chellaboina, Rohit Kumar
Controller Design for Systems with Frequency and Time Domain Constraints'. Eur. J. Control 6 (2) (2000)
Boris T. Polyak, Pavel S. Shcherbakov
Random spherical uncertainty in estimation and robustness. IEEE Trans. Autom. Control. 45 (11) (2000)
Giuseppe Carlo Calafiore, Boris T. Polyak
Fast algorithms for exact and approximate feasibility of robust LMIs. CDC (2000)
Boris T. Polyak, Roberto Tempo
Probabilistic robust design with linear quadratic regulators. CDC (2000)
Yakov Z. Tsypkin, Boris T. Polyak
High-Gain Robust Control. Eur. J. Control 5 (1) (1999)
Boris T. Polyak, Mark E. Halpern
uncertainties. IEEE Trans. Autom. Control. 44 (11) (1999)
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)
Boris T. Polyak, A. N. Vishnyakov
Multiplying Disks: Robust Stability of a Cascade Connection. Eur. J. Control 2 (2) (1996)
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) (1994)
Alexander V. Nazin, Boris T. Polyak, Alexandre B. Tsybakov
Optimal and robust kernel algorithms for passive stochastic approximation. IEEE Trans. Inf. Theory 38 (5) (1992)