Boris T. Polyak

According to our database1, Boris T. Polyak authored at least 53 papers between 1992 and 2021.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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PhD thesis 
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Links

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Bibliography

2021
Linear Matrix Inequalities in Control Systems with Uncertainty.
Autom. Remote. Control., 2021

2020
New versions of Newton method: step-size choice, convergence domain and under-determined equations.
Optim. Methods Softw., 2020

Sparse solutions of optimal control via Newton method for under-determined systems.
J. Glob. Optim., 2020

Sparse solutions of optimal control with L1-objective.
Proceedings of the 18th European Control Conference, 2020

2019
Minimum Fuel-Consumption Stabilization of a Spacecraft at the Lagrangian Points.
Autom. Remote. Control., 2019

Transient Response in Matrix Discrete-Time Linear Systems.
Autom. Remote. Control., 2019

2018
Optimisation and asymptotic stability.
Int. J. Control, 2018

Peak Effects in Stable Linear Difference Equations.
CoRR, 2018

2017
On Existence of Equilibria of Multi-Port Linear AC Networks With Constant-Power Loads.
IEEE Trans. Circuits Syst. I Regul. Pap., 2017

Why Does Monte Carlo Fail to Work Properly in High-Dimensional Optimization Problems?
J. Optim. Theory Appl., 2017

Stability and synchronization of oscillators: New Lyapunov functions.
Autom. Remote. Control., 2017

Principle component analysis: Robust versions.
Autom. Remote. Control., 2017

2016
On Existence and Stability of Equilibria of Linear Time-Invariant Systems With Constant Power Loads.
IEEE Trans. Circuits Syst. I Regul. Pap., 2016

Large deviations for non-zero initial conditions in linear systems.
Autom., 2016

Stability study of a power system with unipolar electromagnetic brake.
Autom. Remote. Control., 2016

On existence and stability of equilibria of DC LTI circuits with constant power loads.
Proceedings of the 15th European Control Conference, 2016

2015
Stability and Performance of Complex Systems Affected by Parametric Uncertainty.
Proceedings of the Encyclopedia of Systems and Control, 2015

Large deviations in linear control systems with nonzero initial conditions.
Autom. Remote. Control., 2015

2014
Random sampling: Billiard Walk algorithm.
Eur. J. Oper. Res., 2014

Sparse feedback in linear control systems.
Autom. Remote. Control., 2014

2013
An LMI approach to structured sparse feedback design in linear control systems.
Proceedings of the 12th European Control Conference, 2013

2012
Robust eigenvector of a stochastic matrix with application to PageRank.
Proceedings of the 51th IEEE Conference on Decision and Control, 2012

2011
Randomized methods based on new Monte Carlo schemes for control and optimization.
Ann. Oper. Res., 2011

On the accuracy of l1-filtering of signals with block-sparse structure.
Proceedings of the Advances in Neural Information Processing Systems 24: 25th Annual Conference on Neural Information Processing Systems 2011. Proceedings of a meeting held 12-14 December 2011, 2011

2010
A Randomized Cutting Plane Method with Probabilistic Geometric Convergence.
SIAM J. Optim., 2010

Markov Chain Monte Carlo method exploiting barrier functions with applications to control and optimization.
Proceedings of the 2010 IEEE International Symposium on Computer-Aided Control System Design, 2010

2009
Adaptive randomized algorithm for finding eigenvector of stochastic matrix with application to PageRank.
Proceedings of the 48th IEEE Conference on Decision and Control, 2009

Ellipsoidal approximations to attraction domains of linear systems with bounded control.
Proceedings of the American Control Conference, 2009

Robust stabilization via Hit-and-Run techniques.
Proceedings of the IEEE International Conference on Control Applications, 2009

A randomized algorithm for finding eigenvector of stochastic matrix with application to PageRank problem.
Proceedings of the IEEE International Conference on Control Applications, 2009

2008
A randomized cutting plane scheme with geometric convergence: Probabilistic analysis and SDP applications.
Proceedings of the 47th IEEE Conference on Decision and Control, 2008

2007
On the complete instability of interval polynomials.
Syst. Control. Lett., 2007

Newton's method and its use in optimization.
Eur. J. Oper. Res., 2007

A randomized method for solving semidefinite programs.
Proceedings of the 9th IFAC Workshop on Adaptation and Learning in Control and Signal Processing, 2007

Fixed-order controller design for SISO systems using Monte Carlo technique.
Proceedings of the 9th IFAC Workshop on Adaptation and Learning in Control and Signal Processing, 2007

2006
Cubic regularization of Newton method and its global performance.
Math. Program., 2006

Stability regions in the parameter space: D-decomposition revisited.
Autom., 2006

Output Feedback Controllers Synthesis with Practical Pole Clustering for Descriptor Systems.
Proceedings of the First International Conference on Innovative Computing, Information and Control (ICICIC 2006), 30 August, 2006

Rejection of Bounded Disturbances via Invariant Ellipsoids Technique.
Proceedings of the 45th IEEE Conference on Decision and Control, 2006

2004
Interval solutions for interval algebraic equations.
Math. Comput. Simul., 2004

Ellipsoidal parameter or state estimation under model uncertainty.
Autom., 2004

2003
Recursive algorithms for inner ellipsoidal approximation of convex polytopes.
Autom., 2003

2002
History of mathematical programming in the USSR: analyzing the phenomenon.
Math. Program., 2002

Optimization-based design of fixed-order controllers for command following.
Autom., 2002

2001
Stochastic algorithms for exact and approximate feasibility of robust LMIs.
IEEE Trans. Autom. Control., 2001

Probabilistic robust design with linear quadratic regulators.
Syst. Control. Lett., 2001

2000
Random spherical uncertainty in estimation and robustness.
IEEE Trans. Autom. Control., 2000

Discussion on: 'Multiobjective L<sub>1</sub>/H<sub>∞</sub> Controller Design for Systems with Frequency and Time Domain Constraints'.
Eur. J. Control, 2000

1999
Robust stability and design of linear discrete-time SISO systems under l<sub>1</sub> uncertainties.
IEEE Trans. Autom. Control., 1999

High-Gain Robust Control.
Eur. J. Control, 1999

1998
Numerical search of stable or unstable element in matrix or polynomial families: A unified approach to robustness analysis and stabilization.
Proceedings of the Robustness in Identification and Control, Workshop Robustness in Identification and Control, Siena, Italy, July 30, 1998

1996
Multiplying Disks: Robust Stability of a Cascade Connection.
Eur. J. Control, 1996

1992
Optimal and robust kernel algorithms for passive stochastic approximation.
IEEE Trans. Inf. Theory, 1992


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