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1

Augmented Lagrangian functions for cone constrained optimization: the existence of global saddle points and exact penalty property

Dolgopolik, M. V.

Journal:

Journal of Global Optimization

Year:

2018

Language:

english

File:

PDF, 972 KB

english, 2018

2

A unifying theory of exactness of linear penalty functions

Dolgopolik, M. V.

Journal:

Year:

2015

Language:

english

File:

PDF, 2.77 MB

english, 2015

3

Existence of augmented Lagrange multipliers: reduction to exact penalty functions and localization principle

Dolgopolik, M. V.

Journal:

Mathematical Programming

Year:

2017

Language:

english

File:

PDF, 622 KB

english, 2017

4

New global optimality conditions for nonsmooth DC optimization problems

Dolgopolik, M. V.

Journal:

Journal of Global Optimization

Year:

2019

File:

PDF, 521 KB

2019

5

A New Constraint Qualification and Sharp Optimality Conditions for Nonsmooth Mathematical Programming Problems in Terms of Quasidifferentials

Dolgopolik, M. V.

Journal:

SIAM Journal on Optimization

Year:

2020

File:

PDF, 429 KB

2020

6

A Unified Approach to the Global Exactness of Penalty and Augmented Lagrangian Functions II: Extended Exactness

Dolgopolik, M. V.

Journal:

Journal of Optimization Theory and Applications

Year:

2018

Language:

english

File:

PDF, 478 KB

english, 2018

7

Speed-Gradient Control of the Brockett Integrator

Dolgopolik, M. V., Fradkov, A. L.

Journal:

SIAM Journal on Control and Optimization

Year:

2016

Language:

english

File:

PDF, 345 KB

english, 2016

8

Nonsmooth and discontinuous speed-gradient algorithms

Dolgopolik, M.V., Fradkov, A.L.

Journal:

Nonlinear Analysis Hybrid Systems

Year:

2017

Language:

english

File:

PDF, 470 KB

english, 2017

9

A Unified Approach to the Global Exactness of Penalty and Augmented Lagrangian Functions I: Parametric Exactness

Dolgopolik, M. V.

Journal:

Journal of Optimization Theory and Applications

Year:

2018

Language:

english

File:

PDF, 471 KB

english, 2018

10

Metric Regularity of Quasidifferentiable Mappings and Optimality Conditions for Nonsmooth Mathematical Programming Problems

Dolgopolik, M. V.

Journal:

Set-Valued and Variational Analysis

Year:

2019

Language:

english

File:

PDF, 511 KB

english, 2019

11

Observer-based boundary control of the sine–Gordon model energy

Dolgopolik, Maksim, Fradkov, Alexander L., Andrievsky, Boris

Journal:

Year:

2019

Language:

english

File:

PDF, 983 KB

english, 2019

12

Codifferential calculus in normed spaces

M. V. Dolgopolik

Journal:

Journal of Mathematical Sciences

Year:

2011

Language:

english

File:

PDF, 271 KB

english, 2011

13

Inhomogeneous convex approximations of nonsmooth functions

M. V. Dolgopolik

Journal:

Russian Mathematics

Year:

2012

Language:

english

File:

PDF, 542 KB

english, 2012

14

Abstract convex approximations of nonsmooth functions

Dolgopolik, Maxim Vladimirovich

Journal:

Year:

2015

Language:

english

File:

PDF, 301 KB

english, 2015

15

Smooth exact penalty functions: a general approach

Dolgopolik, Maksim V.

Journal:

Optimization Letters

Year:

2016

Language:

english

File:

PDF, 210 KB

english, 2016

16

Nonsmooth Problems of Calculus of Variations via Codifferentiation

Dolgopolik, Maxim

Journal:

ESAIM Control Optimisation and Calculus of Variations

Year:

2014

Language:

english

File:

PDF, 785 KB

english, 2014

17

Smooth exact penalty functions II: a reduction to standard exact penalty functions

Dolgopolik, Maksim V.

Journal:

Optimization Letters

Year:

2016

Language:

english

File:

PDF, 502 KB

english, 2016

18

[IEEE 2015 European Control Conference (ECC) - Linz, Austria (2015.7.15-2015.7.17)] 2015 European Control Conference (ECC) - Nonsmooth Speed-Gradient algorithms

Dolgopolik, Maksim V., Fradkov, Alexander L.

Year:

2015

Language:

english

File:

PDF, 214 KB

english, 2015

19

Boundary Energy Control of the Sine-Gordon Equation**This work was performed in IPME RAS, supported by RSF (grant 14-29-00142).

Dolgopolik, Maksim, Fradkov, Alexander L., Andrievsky, Boris

Journal:

IFAC-PapersOnLine

Year:

2016

Language:

english

File:

PDF, 645 KB

english, 2016

20

Preface

Malozemov, Vasily, Dolgopolik, Maksim

Journal:

Journal of Optimization Theory and Applications

Year:

2016

Language:

english

File:

PDF, 299 KB

english, 2016

21

A unifying theory of exactness of linear penalty functions II: parametric penalty functions

Dolgopolik, M. V.

Journal:

Year:

2017

Language:

english

File:

PDF, 3.52 MB

english, 2017

22

New Direct Numerical Methods for Some Multidimensional Problems of the Calculus of Variations

Dolgopolik, Maksim V.

Journal:

Numerical Functional Analysis and Optimization

Year:

2017

Language:

english

File:

PDF, 508 KB

english, 2017

23

Boundary energy control of a system governed by the nonlinear Klein–Gordon equation

Dolgopolik, Maksim, Fradkov, Alexander L., Andrievsky, Boris

Journal:

Mathematics of Control, Signals, and Systems (MCSS)

Year:

2018

Language:

english

File:

PDF, 985 KB

english, 2018

24

A convergence analysis of the method of codifferential descent

Dolgopolik, M. V.

Journal:

Computational Optimization and Applications

Year:

2018

Language:

english

File:

PDF, 664 KB

english, 2018

25

The method of codifferential descent for convex and global piecewise affine optimization

Dolgopolik, M. V.

Journal:

Optimization Methods and Software

Year:

2019

File:

PDF, 2.42 MB

2019

26

Exact penalty functions for optimal control problems I: Main theorem and free‐endpoint problems

Dolgopolik, M.V., Fominyh, A.V.

Journal:

Optimal Control Applications and Methods

Year:

2019

Language:

english

File:

PDF, 565 KB

english, 2019

27

New global optimality conditions for nonsmooth DC optimization problems

Dolgopolik, M. V.

Journal:

Journal of Global Optimization

Year:

2019

Language:

english

File:

PDF, 521 KB

english, 2019

28

Two-point Output Feedback Boundary Control for Semilinear Hyperbolic Systems

Dolgopolik, Maksim, Fradkov, Alexander L., Andrievsky, Boris

Journal:

IFAC-PapersOnLine

Year:

2019

File:

PDF, 676 KB

2019

29

Exact penalty functions for optimal control problems II: Exact penalization of terminal and pointwise state constraints

Dolgopolik, M. V.

Journal:

Optimal Control Applications and Methods

Year:

2020

Language:

english

File:

PDF, 1.17 MB

english, 2020

30

[IEEE 2018 17th European Control Conference (ECC) - Limassol (2018.6.12-2018.6.15)] 2018 European Control Conference (ECC) - Energy Tracking for the Sine-Gordon Equation with Dissipation via Boundary Control *

Dolgopolik, Maksim V., Fradkov, Alexander L.

Year:

2018

File:

PDF, 743 KB

2018