The Laboratory "Control of Complex Systems"
Maksim Dolgopolik
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Maksim Dolgopolik was born in 1990. He received Diploma degree with distinction in applied mathematics and computer science in 2012 from the Saint-Petersburg State University (SpbSU, Faculty of Applied Mathematics and Control Processes); Candidate of Sciences (Ph.D.) degree in Discrete Mathematics and Mathematical Cybernetics from the same university in 2015. In 2018 he was awarded "Young Mathematician" prize by the St. Petersburg Mathematical Society. He has been working as a researcher in the laboratory "CCS" IPME RAS since 2015.
Research interests:constructive nonsmooth analysis and its applications to optimization, calculus of variations and control theory; exact penalty functions and augmented Lagrangian functions. List of publications: Dolgopolik M.V. Nonsmooth Problems of Calculus of Variations via Codifferentiation. ESAIM: Control, Optimization and Calculus of Variations, 2014, vol. 20, no. 4, pp. 1153-1180. (link) Dolgopolik M.V. Abstract Convex Approximations of Nonsmooth Functions. Optimization, 2015, vol. 64, no. 7, pp. 1439-1469. (link) Dolgopolik M.V. A unifying theory of exactness of linear penalty functions. Optimization, 2016, vol. 65, no. 6, pp. 1167-1202. (link) Dolgopolik M.V., Fradkov A.L. Speed-gradient control of the Brockett integrator. SIAM Journal on Control and Optimization, 2016, vol. 54, no. 4, pp. 2116-2131.(link) Dolgopolik M.V. Existence of augmented Lagrange multipliers: reduction to exact penalty functions and localization principle. Mathematical Programming, Series A, 2017, vol. 166, no. 1-2, pp. 297-326.(link) Dolgopolik M.V., Fradkov A.L. Nonsmooth and discontinuous speed-gradient algorithms. Nonlinear Analysis: Hybrid Systems, 2017, vol. 25, pp. 99-113.(link) Dolgopolik M.V. A unifying theory of exactness of linear penalty functions II: parametric penalty functions. Optimization, 2017, vol. 66, no. 10, pp. 1577-1622.(link) Dolgopolik M.V. New direct numerical methods for some multidimensional problems of the calculus of variations. Numerical Functional Analysis and Optimization, 2018, vol. 39, no. 4, pp. 467-490.(link) Dolgopolik M.V. Augmented Lagrangian functions for cone constrained optimization: the existence of global saddle points and exact penalty property. Journal of Global Optimization, 2018, vol. 71, no. 2, pp. 237-296.(link) Dolgopolik M.V. A unified approach to the global exactness of penalty and augmented Lagrangian functions I: parametric exactness. Journal of Optimization Theory and Applications, 2018, vol. 176, no. 3, pp. 728-744.(link) Dolgopolik M.V. A unified approach to the global exactness of penalty and augmented Lagrangian functions II: extended exactness. Journal of Optimization Theory and Applications, 2018, vol. 176, no. 3, pp. 745-762.(link) Dolgopolik M., Fradkov A.L., Andrievsky B. Boundary energy control of a system governed by the nonlinear Klein-Gordon equation. Math. Control Signals Syst. 2018, vol. 30, no. 1, pp. 1-21. E-mail: maxim.dolgopolik@gmail.com |