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Cubic regularization of Newton method and its global performance

Mathematical programming, 2006-08, Vol.108 (1), p.177-205

2006

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Newton’s method and its use in optimization

European journal of operational research, 2007-09, Vol.181 (3), p.1086-1096

Polyak, B.T.

2007

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Stochastic algorithms for exact and approximate feasibility of robust LMIs

IEEE transactions on automatic control, 2001-11, Vol.46 (11), p.1755-1759

2001

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Random spherical uncertainty in estimation and robustness

IEEE transactions on automatic control, 2000-11, Vol.45 (11), p.2145-2150

2000

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Probabilistic robust design with linear quadratic regulators

Systems & control letters, 2001, Vol.43 (5), p.343-353

2001

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On the complete instability of interval polynomials

Systems & control letters, 2007-06, Vol.56 (6), p.431-438

2007

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Robust stability and design of linear discrete-time SISO systems under l/sub 1/ uncertainties

IEEE transactions on automatic control, 1999-11, Vol.44 (11), p.2076-2080

1999

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Interval solutions for interval algebraic equations

Mathematics and computers in simulation, 2004-06, Vol.66 (2-3), p.207-217

2004

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History of mathematical programming in the USSR: analyzing the phenomenon

Mathematical programming, 2002-02, Vol.91 (3), p.401-416

Polyak, B.T.

2002

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Optimal design for discrete-time linear systems via new performance index

International journal of adaptive control and signal processing, 2001-03, Vol.15 (2), p.129-152

2001

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Necessary and sufficient conditions for robust stability of linear systems with multiaffine uncertainty structure

IEEE transactions on automatic control, 1995-07, Vol.40 (7), p.1255-1260

1995

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Stability of linear difference equations with unmodelled higher order terms

Journal of difference equations and applications, 1998-01, Vol.3 (5-6), p.137-149

1998

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Billiard walk - a new sampling algorithm for control and optimization

IFAC Proceedings Volumes, 2014, Vol.47 (3), p.6123-6128

2014

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Frequency domain criteria for l/sup p/-robust stability of continuous linear systems

IEEE transactions on automatic control, 1991-12, Vol.36 (12), p.1464-1469

1991

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Filtering with nonrandom noise: invariant ellipsoids technique

IFAC Proceedings Volumes, 2008, Vol.41 (2), p.15349-15352

2008

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Hit-and-Run: new design technique for stabilization, robustness and optimization of linear systems

IFAC Proceedings Volumes, 2008, Vol.41 (2), p.376-380

2008

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Discussion on: ‘Multiobjective L1/H∞ Controller Design for Systems with Frequency and Time Domain Constraints’

European journal of control, 2000, Vol.6 (2), p.184-185

2000

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High-Gain Robust Control

European journal of control, 1999, Vol.5 (1), p.3-9

1999

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Hit-and-Run: randomized technique for control problems recasted as concave programming

IFAC Proceedings Volumes, 2011-01, Vol.44 (1), p.2321-2325

2011

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Multiplying Disks: Robust Stability of a Cascade Connection

European journal of control, 1996, Vol.2 (2), p.101-111

1996

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Random algorithms for solving convex inequalities

Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications, 2001, Vol.8, p.409-422

Polyak, B.T.

2001

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Robust stabilization via Hit-and-Run techniques

2009 IEEE Control Applications, (CCA) & Intelligent Control, (ISIC), 2009, p.537-541

2009

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A randomized cutting plane scheme with geometric convergence: Probabilistic analysis and SDP applications

2008 47th IEEE Conference on Decision and Control, 2008, p.3044-3049

2008

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Comments on "Two necessary conditions for a complex polynomial to be strictly Hurwitz and their applications in robust stability analysis" [with reply]

IEEE transactions on automatic control, 1994-05, Vol.39 (5), p.1147-1148

1994

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Invariant Ellipsoids Approach to Robust Rejection of Persistent Disturbances

IFAC Proceedings Volumes, 2008, Vol.41 (2), p.3976-3981

2008

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Cubic regularization of Newton method and its global performance

Newton’s method and its use in optimization

Stochastic algorithms for exact and approximate feasibility of robust LMIs

Random spherical uncertainty in estimation and robustness

Probabilistic robust design with linear quadratic regulators

On the complete instability of interval polynomials

Robust stability and design of linear discrete-time SISO systems under l/sub 1/ uncertainties

Interval solutions for interval algebraic equations

History of mathematical programming in the USSR: analyzing the phenomenon

Optimal design for discrete-time linear systems via new performance index

Necessary and sufficient conditions for robust stability of linear systems with multiaffine uncertainty structure

Stability of linear difference equations with unmodelled higher order terms

Billiard walk - a new sampling algorithm for control and optimization

Frequency domain criteria for l/sup p/-robust stability of continuous linear systems

Filtering with nonrandom noise: invariant ellipsoids technique

Hit-and-Run: new design technique for stabilization, robustness and optimization of linear systems

Discussion on: ‘Multiobjective L1/H∞ Controller Design for Systems with Frequency and Time Domain Constraints’

High-Gain Robust Control

Hit-and-Run: randomized technique for control problems recasted as concave programming

Multiplying Disks: Robust Stability of a Cascade Connection

Random algorithms for solving convex inequalities

Robust stabilization via Hit-and-Run techniques

A randomized cutting plane scheme with geometric convergence: Probabilistic analysis and SDP applications

Comments on "Two necessary conditions for a complex polynomial to be strictly Hurwitz and their applications in robust stability analysis" [with reply]

Invariant Ellipsoids Approach to Robust Rejection of Persistent Disturbances

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