Edit Profile (opens in new tab) Dolgopolik, Maxim Vladimirovich Co-Author Distance Author ID: dolgopolik.maxim-vladimirovich Published as: Dolgopolik, M. V.; Dolgopolik, Maksim; Dolgopolik, Maksim V.; Dolgopolik, Maxim V.; Dolgopolik, Maxim Vladimirovich; Dolgopolik, Maxim more...less Homepage: http://www.ipme.ru/ipme/labs/ccs/dolgopolik.htm External Links: ORCID · Math-Net.Ru · dblp Documents Indexed: 35 Publications since 2011 Co-Authors: 4 Co-Authors with 9 Joint Publications 165 Co-Co-Authors Co-Authors 26 single-authored 5 Fradkov, Aleksandr L’vovich 2 Tamasyan, Grigoriĩ Shchalikovich 1 Fominyh, Alexander V. 1 Malozemov, Vasily Nikolaevich all top 5 Serials 3 Journal of Optimization Theory and Applications 3 Optimization 3 Computational Optimization and Applications 3 Optimization Letters 2 SIAM Journal on Control and Optimization 2 Optimal Control Applications & Methods 2 Journal of Global Optimization 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Optimization Methods & Software 2 Set-Valued and Variational Analysis 1 Applied Mathematics and Computation 1 Automatica 1 MCSS. Mathematics of Control, Signals, and Systems 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 Russian Mathematics 1 Journal of Mathematical Sciences (New York) 1 Nonlinear Analysis. Hybrid Systems 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Minimax Theory and its Applications all top 5 Fields 22 Operations research, mathematical programming (90-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 8 Numerical analysis (65-XX) 3 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 118 times in 54 Documents Cited by ▼ Year ▼ A unifying theory of exactness of linear penalty functions. Zbl 1341.65021Dolgopolik, M. V. 15 2016 A unifying theory of exactness of linear penalty functions. II: Parametric penalty functions. Zbl 1410.90194Dolgopolik, M. V. 10 2017 Abstract convex approximations of nonsmooth functions. Zbl 1337.49021Dolgopolik, Maxim Vladimirovich 9 2015 A new constraint qualification and sharp optimality conditions for nonsmooth mathematical programming problems in terms of quasidifferentials. Zbl 1493.90219Dolgopolik, M. V. 8 2020 Nonsmooth and discontinuous speed-gradient algorithms. Zbl 1376.49020Dolgopolik, M. V.; Fradkov, A. L. 8 2017 A convergence analysis of the method of codifferential descent. Zbl 1416.90057Dolgopolik, M. V. 6 2018 Metric regularity of quasidifferentiable mappings and optimality conditions for nonsmooth mathematical programming problems. Zbl 1491.90167Dolgopolik, M. V. 6 2020 Codifferential calculus in normed spaces. Zbl 1290.46033Dolgopolik, M. V. 4 2011 Inhomogeneous convex approximations of nonsmooth functions. Zbl 1260.49020Dolgopolik, M. V. 4 2012 Nonsmooth problems of calculus of variations via codifferentiation. Zbl 1306.49025Dolgopolik, Maxim 4 2014 Smooth exact penalty functions: a general approach. Zbl 1349.90762Dolgopolik, Maksim V. 4 2016 Exact penalty functions for optimal control problems I: main theorem and free-endpoint problems. Zbl 1451.49026Dolgopolik, M. V.; Fominyh, A. V. 4 2019 Speed-gradient control of the Brockett integrator. Zbl 1343.93063Dolgopolik, M. V.; Fradkov, A. L. 4 2016 Augmented Lagrangian functions for cone constrained optimization: the existence of global saddle points and exact penalty property. Zbl 1461.65142Dolgopolik, Maxim V. 3 2018 Observer-based boundary control of the sine-Gordon model energy. Zbl 1440.93091Dolgopolik, Maksim; Fradkov, Alexander L.; Andrievsky, Boris 3 2020 Exact penalty functions for optimal control problems. II: Exact penalization of terminal and pointwise state constraints. Zbl 1466.49022Dolgopolik, M. V. 3 2020 A unified approach to the global exactness of penalty and augmented Lagrangian functions. I: Parametric exactness. Zbl 1461.65143Dolgopolik, M. V. 3 2018 Boundary energy control of a system governed by the nonlinear Klein-Gordon equation. Zbl 1394.49004Dolgopolik, Maksim; Fradkov, Alexander L.; Andrievsky, Boris 3 2018 Existence of augmented Lagrange multipliers: reduction to exact penalty functions and localization principle. Zbl 1386.90145Dolgopolik, M. V. 3 2017 Method of steepest descent for two-dimensional problems of calculus of variations. Zbl 1280.49039Dolgopolik, M. V.; Tamasyan, G. Sh. 2 2014 The method of codifferential descent for convex and global piecewise affine optimization. Zbl 1464.90096Dolgopolik, M. V. 2 2020 A unified approach to the global exactness of penalty and augmented Lagrangian functions. II: Extended exactness. Zbl 1461.65144Dolgopolik, M. V. 2 2018 Smooth exact penalty functions. II: A reduction to standard exact penalty functions. Zbl 1379.90037Dolgopolik, Maksim V. 2 2016 On equivalence of the method of steepest descent and the method of hypodifferential descent in some constrained optimization problems. Zbl 1310.49007Dolgopolik, M. V.; Tamasyan, G. Sh. 1 2014 DC semidefinite programming and cone constrained DC optimization. I: Theory. Zbl 1489.90106Dolgopolik, M. V. 1 2022 New global optimality conditions for nonsmooth DC optimization problems. Zbl 1436.90110Dolgopolik, M. V. 1 2020 Finite-differential nonsmooth speed-gradient control: stability, passivity, robustness. Zbl 1461.93201Dolgopolik, M. V.; Fradkov, A. L. 1 2021 Constrained nonsmooth problems of the calculus of variations. Zbl 1473.49023Dolgopolik, Maksim 1 2021 The alternating direction method of multipliers for finding the distance between ellipsoids. Zbl 1497.65046Dolgopolik, Maksim V. 1 2021 DC semidefinite programming and cone constrained DC optimization. I: Theory. Zbl 1489.90106Dolgopolik, M. V. 1 2022 Finite-differential nonsmooth speed-gradient control: stability, passivity, robustness. Zbl 1461.93201Dolgopolik, M. V.; Fradkov, A. L. 1 2021 Constrained nonsmooth problems of the calculus of variations. Zbl 1473.49023Dolgopolik, Maksim 1 2021 The alternating direction method of multipliers for finding the distance between ellipsoids. Zbl 1497.65046Dolgopolik, Maksim V. 1 2021 A new constraint qualification and sharp optimality conditions for nonsmooth mathematical programming problems in terms of quasidifferentials. Zbl 1493.90219Dolgopolik, M. V. 8 2020 Metric regularity of quasidifferentiable mappings and optimality conditions for nonsmooth mathematical programming problems. Zbl 1491.90167Dolgopolik, M. V. 6 2020 Observer-based boundary control of the sine-Gordon model energy. Zbl 1440.93091Dolgopolik, Maksim; Fradkov, Alexander L.; Andrievsky, Boris 3 2020 Exact penalty functions for optimal control problems. II: Exact penalization of terminal and pointwise state constraints. Zbl 1466.49022Dolgopolik, M. V. 3 2020 The method of codifferential descent for convex and global piecewise affine optimization. Zbl 1464.90096Dolgopolik, M. V. 2 2020 New global optimality conditions for nonsmooth DC optimization problems. Zbl 1436.90110Dolgopolik, M. V. 1 2020 Exact penalty functions for optimal control problems I: main theorem and free-endpoint problems. Zbl 1451.49026Dolgopolik, M. V.; Fominyh, A. V. 4 2019 A convergence analysis of the method of codifferential descent. Zbl 1416.90057Dolgopolik, M. V. 6 2018 Augmented Lagrangian functions for cone constrained optimization: the existence of global saddle points and exact penalty property. Zbl 1461.65142Dolgopolik, Maxim V. 3 2018 A unified approach to the global exactness of penalty and augmented Lagrangian functions. I: Parametric exactness. Zbl 1461.65143Dolgopolik, M. V. 3 2018 Boundary energy control of a system governed by the nonlinear Klein-Gordon equation. Zbl 1394.49004Dolgopolik, Maksim; Fradkov, Alexander L.; Andrievsky, Boris 3 2018 A unified approach to the global exactness of penalty and augmented Lagrangian functions. II: Extended exactness. Zbl 1461.65144Dolgopolik, M. V. 2 2018 A unifying theory of exactness of linear penalty functions. II: Parametric penalty functions. Zbl 1410.90194Dolgopolik, M. V. 10 2017 Nonsmooth and discontinuous speed-gradient algorithms. Zbl 1376.49020Dolgopolik, M. V.; Fradkov, A. L. 8 2017 Existence of augmented Lagrange multipliers: reduction to exact penalty functions and localization principle. Zbl 1386.90145Dolgopolik, M. V. 3 2017 A unifying theory of exactness of linear penalty functions. Zbl 1341.65021Dolgopolik, M. V. 15 2016 Smooth exact penalty functions: a general approach. Zbl 1349.90762Dolgopolik, Maksim V. 4 2016 Speed-gradient control of the Brockett integrator. Zbl 1343.93063Dolgopolik, M. V.; Fradkov, A. L. 4 2016 Smooth exact penalty functions. II: A reduction to standard exact penalty functions. Zbl 1379.90037Dolgopolik, Maksim V. 2 2016 Abstract convex approximations of nonsmooth functions. Zbl 1337.49021Dolgopolik, Maxim Vladimirovich 9 2015 Nonsmooth problems of calculus of variations via codifferentiation. Zbl 1306.49025Dolgopolik, Maxim 4 2014 Method of steepest descent for two-dimensional problems of calculus of variations. Zbl 1280.49039Dolgopolik, M. V.; Tamasyan, G. Sh. 2 2014 On equivalence of the method of steepest descent and the method of hypodifferential descent in some constrained optimization problems. Zbl 1310.49007Dolgopolik, M. V.; Tamasyan, G. Sh. 1 2014 Inhomogeneous convex approximations of nonsmooth functions. Zbl 1260.49020Dolgopolik, M. V. 4 2012 Codifferential calculus in normed spaces. Zbl 1290.46033Dolgopolik, M. V. 4 2011 all cited Publications top 5 cited Publications all top 5 Cited by 56 Authors 21 Dolgopolik, Maxim Vladimirovich 6 Fradkov, Aleksandr L’vovich 4 Fominyh, Alexander V. 3 Grzybowski, Jerzy 2 Abbasov, Majid E. 2 Burachik, Regina Sandra 2 Kabgani, Alireza 2 Kiseleva, M. A. 2 Kuznetsov, Nikolay Vladimirovich 2 Leonov, Gennadiĭ Alekseevich 2 Mokaev, R. N. 2 Tamasyan, Grigoriĩ Shchalikovich 1 Abdi, Elahe 1 Andrievskii, B. R. 1 Angelov, Todor Angelov 1 Bednarczuk, Ewa M. 1 Brogliato, Bernard 1 Bui, Hoa T. 1 Chan, Felix T. S. 1 Dai, Yun-Chuang 1 Dang, Chuangyin 1 Demyanov, Vladimir Fedorovich 1 Fajardo, María D. 1 Furtat, Igor Borisovich 1 Gushchin, P. A. 1 Jiang, Ziyan 1 Kasimbeyli, Refail 1 Kaya, C. Yalçin 1 Kolassa, Robert 1 Krejić, Nataša 1 Krklec Jerinkić, Nataša 1 Kruger, Alexander Y. 1 Laha, Vivek 1 Molnár, Gábor M. 1 Nguyen, Ba. Huy 1 Páles, Zsolt 1 Palli, Gianluca 1 Prosolupov, E. V. 1 Przybycień, Hubert 1 Razmjooei, Hamid 1 Rožnjik, Andrea 1 Singh, Harsh Narayan 1 Soleimani-damaneh, Majid 1 Strekalovskiĭ, Aleksandr Sergeevich 1 Tanwani, Aneel 1 The Hung Tran 1 Urbański, Ryszard 1 Wang, Shiqiang 1 Wang, Yongli 1 Wu, Xiang 1 Xing, Jianchun 1 Xu, Xinsheng 1 Yalcin, Gulcin Dinc 1 Yost, David T. 1 Zeng, Shen 1 Zhang, Kanjian all top 5 Cited in 29 Serials 5 Optimization 5 Optimization Letters 4 Journal of Optimization Theory and Applications 3 Set-Valued and Variational Analysis 2 Automatica 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Control and Optimization 2 Journal of Global Optimization 2 Automation and Remote Control 2 SIAM Journal on Optimization 2 Computational Optimization and Applications 2 Optimization Methods & Software 1 Journal of the Franklin Institute 1 Semigroup Forum 1 European Journal of Operational Research 1 SIAM Review 1 Mathematical Programming. Series A. Series B 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Taiwanese Journal of Mathematics 1 Mathematical Methods of Operations Research 1 Communications in Nonlinear Science and Numerical Simulation 1 Differential Equations 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Computational Management Science 1 Journal of Industrial and Management Optimization 1 Nonlinear Analysis. Hybrid Systems 1 Journal of Control Science and Engineering 1 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 1 Minimax Theory and its Applications all top 5 Cited in 14 Fields 28 Operations research, mathematical programming (90-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 11 Systems theory; control (93-XX) 8 Numerical analysis (65-XX) 4 Convex and discrete geometry (52-XX) 3 Category theory; homological algebra (18-XX) 3 Real functions (26-XX) 3 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year