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Dmitry Karamzin. Completed the Título de Agregado in N/A in 2012 by Moskovskij gosudarstvennyj universitet imeni M V Lomonosova, Doutoramento in N/A in 2004/03/12 by Moskovskij gosudarstvennyj universitet imeni M V Lomonosova and Licenciatura in N/A in 2000 by Moskovskij gosudarstvennyj universitet imeni M V Lomonosova. Is Postdoc in Universidade do Porto Faculdade de Engenharia. Published 6 articles in journals. Has 13 book(s). Has received 6 awards and/or honors. Participates and/or participated as Invited Scientist Fellow in 1 project(s), Post-doc in 1 project(s) and Researcher in 4 project(s). Works in the area(s) of Engineering and Technology with emphasis on Electrotechnical Engineering, Electronics and Informatics with emphasis on Robotics and Automatic Control, Engineering and Technology with emphasis on Electrotechnical Engineering, Electronics and Informatics with emphasis on Automation and Control Systems, Exact Sciences with emphasis on Mathematics with emphasis on Applied Mathematics, Exact Sciences with emphasis on Mathematics with emphasis on Pure Mathematics and Exact Sciences with emphasis on Mathematics. In his curriculum Ciência Vitae the most frequent terms in the context of scientific, technological and artistic-cultural output are: Ciências Tecnológicas, Ciências da engenharia e tecnologias; Technological sciences, Engineering and technology; Ciências Tecnológicas, Engenharia electrotécnica, electrónica e informática; Technological sciences, Electrical engineering, Electronic engineering, Information engineering; optimal control; impulsive control; correctness of solution; Engenharia electrotécnica, electrónica e informática; Electrical engineering, Electronic engineering, Information engineering; Impulsive controls; Maximum principle; Optimal control; 49K15; 49K21; 49K35; Keywords:; Minimax control; State constraints; Engenharia, Engenharia electrotécnica, electrónica e informática; Engineering, Electrical engineering, Electronic engineering, Information engineering; Ciências Tecnológicas, Biotecnologia industrial; Technological sciences, Industrial biotechnology; Discontinuous arcs; Existence theorems; Generalized controls; Sustainable Production and Energy Systems; Digital Ecosystems; Sustainability; & Management; Robotic and Intelligent Systems; New Materials and Components ; Networked and Vehicle Systems and Technologies; Energy; Systems; Control and Optimization; Power Electronics; Optimal Control; Hybrid Dynamical Systems; Nonlinear Systems; input and state constrained systems; optimal motion planning; maximum principle; state constraint; regularity; indirect method; Maximum principle in Gamkrelidze form; Indirect numerical methods; Regularity conditions; regularity; state constraints; boundary-value problems; differential equations; optimisation; .
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Identification

Personal identification

Full name
Dmitry Karamzin

Citation names

  • Karamzin, Dmitry

Author identifiers

Ciência ID
4E14-5543-6CEF
ORCID iD
0000-0001-6579-4276
AuthenticusID
R-000-N7W
Google Scholar ID
1o3TssAAAAAJ
Scopus Author Id
15127038300

Email addresses

  • d.yu.karamzin@gmail.com (Personal)

Knowledge fields

  • Engineering and Technology - Electrotechnical Engineering, Electronics and Informatics - Robotics and Automatic Control
  • Engineering and Technology - Electrotechnical Engineering, Electronics and Informatics - Automation and Control Systems
  • Exact Sciences - Mathematics - Applied Mathematics
  • Exact Sciences - Mathematics - Pure Mathematics
  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
English Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
Russian Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
Portuguese Intermediate (B1) Intermediate (B1) Intermediate (B1) Intermediate (B1)
French Intermediate (B1) Intermediate (B1) Intermediate (B1) Intermediate (B1)
Education
Degree Classification
2012
Concluded
 N/A (Título de Agregado)
Moskovskij gosudarstvennyj universitet imeni M V Lomonosova, Russia
"Investigation of abnormal and degenerate problems in Nonlinear Analysis and Optimal Control" (THESIS/DISSERTATION)
 18/0
2004/03/12
Concluded
 N/A (Doutoramento)
Moskovskij gosudarstvennyj universitet imeni M V Lomonosova, Russia
"Necessary conditions of optimality in various classes of extremum control problems" (THESIS/DISSERTATION)
 Excellent
2000
Concluded
 N/A (Licenciatura)
Moskovskij gosudarstvennyj universitet imeni M V Lomonosova, Russia
"Necessary conditions of optimality in impulsive control problems" (THESIS/DISSERTATION)
 4.75
Affiliation

Science

Category
Host institution 		Employer
2015/09/01 - Current Postdoc (Research) Universidade do Porto Faculdade de Engenharia, Portugal
Universidade do Porto Centro de Investigação em Sistemas e Tecnologias, Portugal
2004/01/01 - 2014/12/31 Researcher (Research) Russian Academy of Sciences, Russia
2007/01/01 - 2012/12/31 Postdoc (Research) Universidade do Porto Faculdade de Engenharia, Portugal
Universidade do Porto Centro de Investigação em Sistemas e Tecnologias, Portugal

Others

Category
Host institution 		Employer
2013/01/01 - 2015/08/31 Post-doctoral fellowship from CNPq, Brazil, through the “Sciencia sem Fronteiras” and “Jovem Talentos” programs, project 401689/2012-3. Universidade Estadual Paulista Júlio de Mesquita Filho, Brazil
Projects

Grant

Designation Funders
2015/10 - 2015/12 SYSTEC - Incentivos 2015
Incentivos 2015
Invited Scientist Fellow
Centro de Investigação em Sistemas e Tecnologias, Portugal
Concluded
2007/01/01 - 2012/12/31 NECESSARY CONDITIONS OF EXTREMUM FOR VARIOUS PROBLEMS OF OPTIMIZATION
SFRH/BPD/26231/2006
 Fundação para a Ciência e a Tecnologia
Concluded

Contract

Designation Funders
2021/01/01 - Current Advanced Production and Intelligent Systems
LA/P/0112/2020
10.54499/LA/P/0112/2020
Researcher
Universidade do Porto Faculdade de Engenharia, Portugal

Centro de Investigação em Sistemas e Tecnologias, Portugal

Instituto para a Sustentabilidade e Inovação em Estruturas de Engenharia, Portugal

Instituto Politécnico de Leiria Centro para o Desenvolvimento Rápido e Sustentado de Produto, Portugal

Instituto Politécnico de Leiria, Portugal

Universidade do Minho, Portugal

Universidade de Coimbra, Portugal

Universidade de Coimbra Centro de Engenharia Mecânica Materiais e Processos, Portugal

Universidade de Coimbra Instituto de Sistemas e Robótica, Portugal
Fundação para a Ciência e a Tecnologia
Ongoing
2015 - Current SYSTEC
UIDP/ 00147/2020
Post-doc
Centro de Investigação em Sistemas e Tecnologias, Portugal
Ongoing
2019/01/01 - 2019/12/31 Research Center for Systems and Technologies
UID/EEA/00147/2019
Universidade do Porto Faculdade de Engenharia, Portugal

Centro de Investigação em Sistemas e Tecnologias, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2011/01/01 - 2013/12/31 Optimal Control in Constrained and Hybrid Nonlinear Systems
PTDC/EEA-CRO/116014/2009
Centro de Investigação em Sistemas e Tecnologias, Portugal

Universidade do Porto Faculdade de Engenharia, Portugal

Instituto Politécnico do Porto Instituto Superior de Engenharia do Porto, Portugal

Universidade do Minho, Portugal

Universidade do Minho Centro de Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Concluded

Other

Designation Funders
2018 - 2022 INDTECH 4.0 – New Technologies for Smart Manufacturing
POCI-01-0247-FEDER-026653
Researcher
Centro de Investigação em Sistemas e Tecnologias, Portugal
2015 - 2020 STRIDE – Smart Cyber-physical, Mathematical, Computational and Power Engineering Research for Disruptive Innovation in Production, Mobility, Health, and Ocean Systems and Technologies
NORTE-01- 0145-FEDER-000033
Researcher
Centro de Investigação em Sistemas e Tecnologias, Portugal
Concluded
2016 - 2019 MARINFO – Integrated Platform for Marine Data Acquisition and Analysis
NORTE-01-0145-FEDER-000031
Researcher
Centro de Investigação em Sistemas e Tecnologias, Portugal
Concluded
2007/01/01 - 2014/12/31 Instituto de Sistemas e Robótica (R&D Unit 147)
ISR
Researcher
Universidade do Porto Instituto de Sistemas e Robótica Pólo do Porto, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
2011 - 2013 CORA – Optimal Control in Constrained and Hybrid Nonlinear Systems
PTDC/EEA-CRO/116014/2009
Researcher
Centro de Investigação em Sistemas e Tecnologias, Portugal
Concluded
Outputs

Publications

Book
  1. Arutyunov, Aram; Karamzin, Dmitry; Lobo Pereira, Fernando. Optimal Impulsive Control. Springer International Publishing. 2019.
    Published • 10.1007/978-3-030-02260-0
  2. Arutyunov, A.; Karamzin, D.; Pereira, F.L.. Preface. 2019.
  3. Aram Arutyunov; Dmitry Karamzin; F. Lobo Pereira. Pontryagin's Maximum Principle for Impulsive Control Problems with Mixed Constraints. 2009.
  4. Aram Arutyunov; Dmitry Karamzin; Fernando Lobo Pereira. Necessary conditions of optimality for abnormal problems with equality and inequality constraints. 2009.
  5. D. Yu. Karamzin; F. L. Pereira. On optimal fuel consumption in spacecraft maneuvering. 2009.
  6. Aram Arutyunov; Dmitry Karamzin; Fernando Lobo Pereira. Necessary conditions of optimality for abnormal problems with equality and inequality constraints. 2009.
  7. Dmitry Karamzin; F. Lobo Pereira. Controlling rotational and translational motion of a spacecraft with the minimum of fuel. 2009.
  8. Dmitry Karamzin; Aram Arutyunov; F. Lobo Pereira. Conditions of optimality for abnormal problems. 2009.
  9. Aram Arutyunov; Dmitry Karamzin; Fernando Lobo Pereira. Second-order necessary conditions of optimality for abnormal solutions of nonlinear problems with equality and inequality constraints. 2008.
  10. Aram Arutyunov; Dmitry Karamzin; Fernando Lobo Pereira. Second-order necessary conditions of optimality for abnormal solutions of nonlinear problems with equality and inequality constraints. 2008.
  11. Aram Arutyunov; Dmitry Karamzin; Fernando Lobo Pereira. Second-order necessary conditions of optimality for abnormal solutions of nonlinear problems with equality and inequality constraints. 2008.
  12. Aram Arutyunov; Dmitri Karamzin; Fernando Lobo Pereira. Second-order necessary conditions of optimality for abnormal solutions of nonlinear problems with equality and inequality constraints. 2008.
  13. Aram V. Arutyunov; Dmitri Yu. Karamzin; Fernando Lobo Pereira. Pontryagin's maximum principle for an impulse control problem. 2008.
  14. F. Lobo Pereira; Dmitry Karamzin; Aram Arutyunov. A maximum principle under weak assumptions of regularity in mixed constrained problems. 2007.
Book chapter
  1. Dmitry Karamzin. "On the Study of Some Sufficient Conditions for the Existence of Regular Zeros of Quadratic Mappings". 2025.
    10.1007/978-3-031-97077-1_4
  2. Dmitry Karamzin. "The Critical Cone and Second-Order Optimality Conditions for a State-Constrained Optimal Control Problem". 2025.
    10.1007/978-3-031-81241-5_26
  3. Dmitry Karamzin. "On Some Sufficient Condition for Quadraticity of a Degenerate Optimization Problem with Inequality Constraints". 2025.
    10.1007/978-3-031-79119-2_12
  4. Dmitry Karamzin. "A Maximum Principle for a State-Constrained Optimal Control Problem Whose Data is Measurable in the Time-Variable". 2025.
    10.1007/978-3-031-79119-2_13
  5. Arutyunov, A.; Karamzin, D.; Lobo Pereira, F.. "General nonlinear impulsive control problems". 153-172. 2019.
    10.1007/978-3-030-02260-0_7
  6. Arutyunov, A.; Karamzin, D.; Lobo Pereira, F.. "Linear impulsive control problems". 1-18. 2019.
    10.1007/978-3-030-02260-0_1
  7. Arutyunov, A.; Karamzin, D.; Lobo Pereira, F.. "Impulsive control problems under the frobenius condition". 39-74. 2019.
    10.1007/978-3-030-02260-0_3
Conference paper
  1. Arutyunov, A.V.; Karamzin, D.Yu.; Pereira, F.L.. "Some Remarks on the Issue of Second-order Optimality Conditions in Control Problems with Mixed Constraints". 2022.
    10.1016/j.ifacol.2022.09.029
  2. Chertovskih, R.A.; Daryina, A.N.; Karamzin, D.Yu.; Pereira, F.L.. "On some regularization of the control problem for a tracked mobile robot in a steady flow field under state constraints". 2022.
    10.1016/j.ifacol.2022.09.0128
  3. Karamzin, D.; Pereira, F.L.. "Some Remarks on the Issue of Normality in State-constrained Optimal Control Problems". 2022.
    10.1109/CDC51059.2022.9993336
  4. Pereira, F.L.; Chertovskih, R.; Daryina, A.; Karamzin, D.. "Regular approximations of time-optimal motion for a tracked mobile robot travelling in a vector flow field under restricted state variables". 2022.
    10.1109/CDC51059.2022.9992332
  5. Pereira, F.L.; Chertovskih, R.; Daryina, A.; Diveev, A.; Karamzin, D.; Sofronova, E.. "A Regularization Approach to Analyze the Time-Optimal Motion of a Mobile Robot under State Constraints using Pontryagin's Maximum Principle". 2021.
    10.1016/j.procs.2021.04.203
  6. Arutyunov, A.; Karamzin, D.; Pereira, F.L.. "Investigation of conditions for non-degeneracy and normality in control problems with equality and inequality state constraints". 2020.
    10.1016/j.ifacol.2020.12.346
  7. Chertovskih, R.; Daryina, A.; Diveev, A.; Karamzin, D.; Pereira, F.L.; Sofronova, E.. "Regular perturbations to the motion of a three-wheeled mobile robot with the front-wheel drive under restricted state variables". 2020.
    10.23919/ecc51009.2020.9143809
  8. Chertovskih, R.; Daryina, A.; Diveev, A.; Karamzin, D.; Pereira, F.L.; Sofronova, E.. "Investigation of a perturbation method to solve essentially non-regular time-optimal control problems with state constraints". 2020.
    10.23919/ecc51009.2020.9143703
  9. Diveev, A.I.; Karamzin, D.Y.; Pereira, F.L.; Sofronova, E.A.. "Investigation of Quasi-Optimal Motion of a Mobile Robot: The Maximum Principle Based Approach". 2020.
    10.1109/CoDIT49905.2020.9263939
  10. Chertovskih, Roman; Karamzin, Dmitry; Khalil, Nathalie; Lobo Pereira, Fernando. "Path-constrained trajectory time-optimization in a three-dimensional steady flow field". Paper presented in 2019 18th European Control Conference (ECC), Naples, 2019.
    Published • 10.23919/ecc.2019.8796083
  11. Arutyunov, A.; Karamzin, D.; Pereira, F.L.; Arutyunov, A; Karamzin, D; Pereira, FL; Arutyunov, Aram; Karamzin, Dmitry; Pereira, Fernando L.. "A remark on the continuity of the measure Lagrange multiplier in state constrained optimal control problems". 2019.
    10.1109/cdc.2018.8618903
  12. Chertovskih, Roman; Karamzin, Dmitry; Khalil, Nathalie; Lobo Pereira, Fernando. "An indirect numerical method for a time-optimal state-constrained control problem in a steady two-dimensional fluid flow". Paper presented in 2018 IEEE/OES Autonomous Underwater Vehicle Workshop (AUV), Porto, 2018.
    Published • 10.1109/auv.2018.8729750
  13. Arutyunov, A.; Karamzin, D.; Pereira, F.L.. "A short survey on measure-driven optimal control problems". 2018.
    10.1109/CONTROLO.2018.8516411
  14. Arutyunov, A.; Karamzin, D.; Pereira, F.L.. "Investigation of second-order optimality conditions for impulsive control problems under the Frobenius condition". 2017.
    10.1109/CDC.2017.8263654
  15. Arutyunov, AV; Karamzin, DY; Pereira, FL. "Investigation of Controllability and Regularity Conditions for State Constrained Problems". 2017.
    10.1016/j.ifacol.2017.08.890
  16. Arutyunov, A; Karamzin, D; Pereira, F. "On the extension of classical calculus of variations and optimal control to problems with discontinuous trajectories". 2012.
    10.1109/cdc.2012.6426145
  17. Aram Arutyunov; Dmitry Karamzin; F. Lobo Pereira. "Pontryagin's Maximum Principle for Impulsive Control Problems with Mixed Constraints". 2009.
  18. D. Yu. Karamzin; F. L. Pereira. "On optimal fuel consumption in spacecraft maneuvering". 2009.
  19. Dmitry Karamzin; F. Lobo Pereira. "Controlling rotational and translational motion of a spacecraft with the minimum of fuel". 2009.
  20. Dmitry Karamzin; Aram Arutyunov; F. Lobo Pereira. "Conditions of optimality for abnormal problems". 2009.
  21. Aram Arutyunov; Dmitri Karamzin; Fernando Lobo Pereira. "Second-order necessary conditions of optimality for abnormal solutions of nonlinear problems with equality and inequality constraints". 2008.
  22. Karamzin, D.Yu.. "Principle of maximum in the problem of control under limited phase coordinates". 2007.
    10.1134/S000511790702004X
  23. F. Lobo Pereira; Dmitry Karamzin; Aram Arutyunov. "A maximum principle under weak assumptions of regularity in mixed constrained problems". 2007.
  24. Aram Arutyunov; V. Dykhta; Dmitry Karamzin; Fernando Lobo Pereira; F. Lobo Pereira; Arutyunov, A.; Dykhta, V.; Karamzin, D.; Pereira, F.. "Necessary Conditions of Optimality for Impulsive Control Problems". 2004.
    10.1016/S1474-6670(17)30792-9
  25. Arutyunov, A; Karamzin, D; Pereira, F. "Nondegenerate necessary conditions for optimal impulsive control problems with state constraints". 2003.
Journal article
  1. Dmitry Karamzin. "On the study of optimal control problems with irregular constraints". Journal of Differential Equations (2025): https://doi.org/10.1016/j.jde.2025.113266.
    10.1016/j.jde.2025.113266
  2. D. Y. Karamzin. "One Remark on the Existence Theorems for Generalized Impulsive Control Problems". The Bulletin of Irkutsk State University. Series Mathematics (2025): https://doi.org/10.26516/1997-7670.2025.54.18.
    10.26516/1997-7670.2025.54.18
  3. Karamzin, D.Y.. "Normality and second-order optimality conditions in state-constrained optimal control problems with bounded minimizers". Journal of Differential Equations 366 (2023): 378-407. http://www.scopus.com/inward/record.url?eid=2-s2.0-85152894086&partnerID=MN8TOARS.
    10.1016/j.jde.2023.04.011
  4. Karamzin, D.Y.; Pereira, F.L.. "On Normality in Optimal Control Problems with State Constraints". Computational Mathematics and Mathematical Physics 63 6 (2023): 973-989. http://www.scopus.com/inward/record.url?eid=2-s2.0-85165976012&partnerID=MN8TOARS.
    10.1134/S0965542523060118
  5. Karamzin, D.; Pereira, F.L.. "ON HIGHER-ORDER STATE CONSTRAINTS". SIAM Journal on Control and Optimization 61 4 (2023): 1913-1933. http://www.scopus.com/inward/record.url?eid=2-s2.0-85165510223&partnerID=MN8TOARS.
    10.1137/22m1487497
  6. Daryina, A.N.; Diveev, A.I.; Karamzin, D.Y.; Pereira, F.L.; Sofronova, E.A.; Chertovskikh, R.A.. "Regular Approximations of the Fastest Motion of Mobile Robot under Bounded State Variables". Computational Mathematics and Mathematical Physics 62 9 (2022): 1539-1558. http://www.scopus.com/inward/record.url?eid=2-s2.0-85139228555&partnerID=MN8TOARS.
    10.1134/S0965542522090093
  7. Arutyunov, A.V.; Karamzin, D.Yu.; Pereira, F.L.. "Maximum Principle and Second-Order Optimality Conditions in Control Problems with Mixed Constraints". Axioms 11 2 (2022): http://www.scopus.com/inward/record.url?eid=2-s2.0-85123448009&partnerID=MN8TOARS.
    10.3390/axioms11020040
  8. Chertovskih, Roman; Karamzin, Dmitry; Khalil, Nathalie; Lobo Pereira, Fernando; Chertovskih, R.; Karamzin, D.; Khalil, N.T.; Pereira, F.L.. "An indirect method for regular state-constrained optimal control problems in flow fields". IEEE Transactions on Automatic Control 66 2 (2021): 787-793. http://dx.doi.org/10.1109/tac.2020.2986179.
    Published • 10.1109/tac.2020.2986179
  9. Arutyunov, A.V.; Karamzin, D.. "Square-root metric regularity and related stability theorems for smooth mappings". SIAM Journal on Optimization 31 2 (2021): 1380-1409. http://www.scopus.com/inward/record.url?eid=2-s2.0-85107297300&partnerID=MN8TOARS.
    10.1137/20M1337697
  10. Chertovskih, Roman; Karamzin, Dmitry; Khalil, Nathalie; Lobo Pereira, Fernando. "Regular path-constrained time-optimal control problems in three-dimensional flow fields". European Journal of Control 56 (2020): 98-106. http://dx.doi.org/10.1016/j.ejcon.2020.02.003.
    Published • 10.1016/j.ejcon.2020.02.003
  11. Arutyunov, A.; Karamzin, D.. "A Survey on Regularity Conditions for State-Constrained Optimal Control Problems and the Non-degenerate Maximum Principle". Journal of Optimization Theory and Applications 184 3 (2020): 697-723. http://www.scopus.com/inward/record.url?eid=2-s2.0-85077148933&partnerID=MN8TOARS.
    10.1007/s10957-019-01623-7
  12. Karamzin, D.; Pereira, F.L.. "On a Few Questions Regarding the Study of State-Constrained Problems in Optimal Control". Journal of Optimization Theory and Applications 180 1 (2019): 235-255. http://www.scopus.com/inward/record.url?eid=2-s2.0-85054489250&partnerID=MN8TOARS.
    10.1007/s10957-018-1394-2
  13. Karamzin, Dmitry Yu. [UNESP]; De Oliveira, Valeriano A. [UNESP]; Pereira, Fernando L.; Silva, Geraldo N. [UNESP]. "On some extension of optimal control theory". (2018): http://hdl.handle.net/11449/177273.
    https://doi.org/http://dx.doi.org/10.1016/j.ejcon.2014.09.003
  14. Karamzin, Dmitry; Oliveira, Valeriano de [UNESP]; Pereira, Fernando; Silva, Geraldo [UNESP]. "Minimax optimal control problem with state constraints". (2018): http://hdl.handle.net/11449/169124.
    https://doi.org/http://dx.doi.org/10.1016/j.ejcon.2016.06.002
  15. Arutyunov, A.V.; Karamzin, D.Y.; Pereira, F.L.; Chernikova, N.Y.. "Second-Order Necessary Optimality Conditions in Optimal Impulsive Control Problems". Differential Equations 54 8 (2018): 1083-1101. http://www.scopus.com/inward/record.url?eid=2-s2.0-85053441131&partnerID=MN8TOARS.
    10.1134/S0012266118080086
  16. Karamzin, D.. "Comments on Paper “On the Relation Between Two Approaches to Necessary Optimality Conditions in Problems with State Constraints”". Journal of Optimization Theory and Applications 179 1 (2018): 358-362. http://www.scopus.com/inward/record.url?eid=2-s2.0-85052375934&partnerID=MN8TOARS.
    10.1007/s10957-018-1370-x
  17. Arutyunov, A.V.; Zhukovskiy, S.E.; Karamzin, D.Y.. "Some properties of two-dimensional surjective p-homogeneous maps". Computational Mathematics and Mathematical Physics 57 7 (2017): 1081-1089. http://www.scopus.com/inward/record.url?eid=2-s2.0-85026847407&partnerID=MN8TOARS.
    10.1134/S096554251707003X
  18. Arutyunov, AV; Karamzin, DY; Pereira, FL. "Conditions for the Absence of Jumps of the Solution to the Adjoint System of the Maximum Principle for Optimal Control Problems with State Constraints". PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS (2016): https://www.authenticus.pt/P-00K-GCM.
    10.1134/s0081543816020036
  19. Arutyunov, AV; Karamzin, DY. "Properties of extremals in optimal control problems with state constraints". DIFFERENTIAL EQUATIONS (2016): https://www.authenticus.pt/P-00M-DMW.
    10.1134/s0012266116110033
  20. Arutyunov, A.V.; Karamzin, D.Y.. "Non-degenerate necessary optimality conditions for the optimal control problem with equality-type state constraints". Journal of Global Optimization 64 4 (2016): 623-647. http://www.scopus.com/inward/record.url?eid=2-s2.0-84921874218&partnerID=MN8TOARS.
    10.1007/s10898-015-0272-9
  21. Arutyunov, AV; Karamzin, DY; Pereira, FL; Silva, GN. "Investigation of regularity conditions in optimal control problems with geometric mixed constraints". OPTIMIZATION (2016): https://www.authenticus.pt/P-00G-6RE.
    10.1080/02331934.2015.1014478
  22. Arutyunov, A.V.; Karamzin, D.Y.. "Maximum principle in an optimal control problem with equality state constraints". Differential Equations 51 1 (2015): 33-46. http://www.scopus.com/inward/record.url?eid=2-s2.0-84922797931&partnerID=MN8TOARS.
    10.1134/S0012266115010048
  23. Zakharov, E.V.; Karamzin, D.Y.. "On the study of conditions for the continuity of the Lagrange multiplier measure in problems with state constraints". Differential Equations 51 3 (2015): 399-405. http://www.scopus.com/inward/record.url?eid=2-s2.0-84927655102&partnerID=MN8TOARS.
    10.1134/S0012266115030106
  24. Karamzin, D.Y.. "The dines theorem and some other properties of quadratic mappings". Computational Mathematics and Mathematical Physics 55 10 (2015): 1633-1641. http://www.scopus.com/inward/record.url?eid=2-s2.0-84944446820&partnerID=MN8TOARS.
    10.1134/S0965542515100127
  25. Arutyunov, AV; Karamzin, DY; Pereira, FL. "State Constraints in Impulsive Control Problems: Gamkrelidze-Like Conditions of Optimality". JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS (2015): https://www.authenticus.pt/P-00G-11V.
    10.1007/s10957-014-0690-8
  26. Karamzin, DY; de Oliveira, VA; Pereira, FL; Silva, GN. "ON THE PROPERNESS OF AN IMPULSIVE CONTROL EXTENSION OF DYNAMIC OPTIMIZATION PROBLEMS". ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS (2015): https://www.authenticus.pt/P-00G-BJB.
    10.1051/cocv/2014053
  27. Arutyunov, A.V.; Karamzin, D.Y.U.. "On some continuity properties of the measure lagrange multiplier from the maximum principle for state constrained problems". SIAM Journal on Control and Optimization 53 4 (2015): 2514-2540. http://www.scopus.com/inward/record.url?eid=2-s2.0-84940676522&partnerID=MN8TOARS.
    10.1137/140981368
  28. Davydova, A.V.; Karamzin, D.Y.. "On some properties of the shortest curve in a compound domain". Differential Equations 51 12 (2015): 1626-1636. http://www.scopus.com/inward/record.url?eid=2-s2.0-84955270236&partnerID=MN8TOARS.
    10.1134/S0012266115120101
  29. Avakov, E.R.; Arutyunov, A.V.; Karamzin, D.Yu.. "An investigation of smooth maps in a neighbourhood of an abnormal point". Izvestiya Mathematics 78 2 (2014): 213-250. http://www.scopus.com/inward/record.url?eid=2-s2.0-84899500965&partnerID=MN8TOARS.
    10.1070/IM2014v078n02ABEH002686
  30. Avakov, E.R.; Arutyunov, A.V.; Karamzin, D.Yu.. "On second-order necessary optimality conditions in finite-dimensional abnormal optimization problems". Doklady Mathematics 85 3 (2012): 328-330. http://www.scopus.com/inward/record.url?eid=2-s2.0-84866385442&partnerID=MN8TOARS.
    10.1134/S1064562412030076
  31. Avakov, E.R.; Arutyunov, A.V.; Karamzin, D.Yu.. "Inverse function in the neighborhood of an abnormal point of a smooth map". Doklady Mathematics 85 3 (2012): 305-308. http://www.scopus.com/inward/record.url?eid=2-s2.0-84866415434&partnerID=MN8TOARS.
    10.1134/S1064562412030015
  32. Arutyunov, A.V.; Karamzin, D.Yu.. "Regular zeros of quadratic maps and their application". Sbornik Mathematics 202 6 (2011): 783-806. http://www.scopus.com/inward/record.url?eid=2-s2.0-80052693756&partnerID=MN8TOARS.
    10.1070/SM2011v202n06ABEH004166
  33. Arutyunov, A; Karamzin, D; Pereira, FL. "ON A GENERALIZATION OF THE IMPULSIVE CONTROL CONCEPT: CONTROLLING SYSTEM JUMPS". DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2011): https://www.authenticus.pt/P-002-VJA.
    10.3934/dcds.2011.29.403
  34. Arutyunov, AV; Karamzin, DY; Pereira, FL. "The Maximum Principle for Optimal Control Problems with State Constraints by RV Gamkrelidze: Revisited". JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS (2011): https://www.authenticus.pt/P-002-R92.
    10.1007/s10957-011-9807-5
  35. Arutyunov, AV; Karamzin, DY; Pereira, F. "RV Gamkrelidze's maximum principle for optimal control problems with bounded phase coordinates and its relation to other optimality conditions". DOKLADY MATHEMATICS (2011): https://www.authenticus.pt/P-002-VJJ.
    10.1134/s1064562411010285
  36. A. V. Arutyunov; D.Yu. Karamzin; F. L. Pereira. "Maximum principle in problems with mixed constraints under weak assumptions of regularity". (2010): https://hdl.handle.net/10216/92917.
    10.1080/02331930903395832
  37. Arutyunov, AV; Karamzin, DY; Pereira, FL. "On constrained impulsive control problems". Journal of Mathematical Sciences (2010): https://www.authenticus.pt/P-007-SMS.
    10.1007/s10958-010-9834-z
  38. Arutyunov, AV; Karamzin, DY; Pereira, F. "Pontryagin's Maximum Principle for Optimal Impulsive Control Problems". DOKLADY MATHEMATICS (2010): https://www.authenticus.pt/P-003-5Y8.
    10.1134/s1064562410030221
  39. Arutyunov, AV; Karamzin, DY; Pereira, FL. "Necessary Optimality Conditions for Problems with Equality and Inequality Constraints: Abnormal Case". JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS (2009): https://www.authenticus.pt/P-003-MY2.
    10.1007/s10957-008-9456-5
  40. Karamzin, D.Yu.. "Erratum: Necessary extremum conditions in the optimal control problem with state constraints (Compuational Mathematics and Mathematical Physics (2007) 47:7 (1073))". Computational Mathematics and Mathematical Physics 48 2 (2008): http://www.scopus.com/inward/record.url?eid=2-s2.0-41549091766&partnerID=MN8TOARS.
    10.1007/s11470-008-2016-0
  41. Arutyunov, A.V.; Karamzin, D.Yu.. "Necessary optimality conditions for abnormal problems with geometric constraints". Computational Mathematics and Mathematical Physics 47 3 (2007): 349-360. http://www.scopus.com/inward/record.url?eid=2-s2.0-34247092096&partnerID=MN8TOARS.
    10.1134/S0965542507030025
  42. Karamzin, D.Yu.. "Necessary extremum conditions in the optimal control problem with state constraints". Computational Mathematics and Mathematical Physics 47 7 (2007): 1073-1100. http://www.scopus.com/inward/record.url?eid=2-s2.0-34547679759&partnerID=MN8TOARS.
    10.1134/S0965542507070020
  43. Karamzin, D.Yu.. "Necessary conditions of the minimum in an impulse optimal control problem". Journal of Mathematical Sciences 139 6 (2006): 7087-7150. http://www.scopus.com/inward/record.url?eid=2-s2.0-33750686020&partnerID=MN8TOARS.
    10.1007/s10958-006-0408-z
  44. Arutyunov, A.V.; Karamzin, D.Yu.. "Necessary optimality conditions in an abnormal optimization problem with equality constraints". Computational Mathematics and Mathematical Physics 46 8 (2006): 1293-1298. http://www.scopus.com/inward/record.url?eid=2-s2.0-33748320875&partnerID=MN8TOARS.
    10.1134/S0965542506080033
  45. Karamzin, D.Yu.. "On necessary extremum conditions for finite-dimensional problems with inequality constraints". Computational Mathematics and Mathematical Physics 46 11 (2006): 1860-1871. http://www.scopus.com/inward/record.url?eid=2-s2.0-33845317281&partnerID=MN8TOARS.
    10.1134/S0965542506110030
  46. Aram Arutyunov; Dmitry Karamzin; Fernando Lobo Pereira. "A nondegenerate maximum principle for the impulse control problem with state constraints". (2005): https://hdl.handle.net/10216/92179.
    10.1137/S0363012903430068
  47. Arutyunov, A.V.; Karamzin, D.Yu.. "Necessary conditions for a weak minimum in an optimal control problem with mixed constraints". Differential Equations 41 11 (2005): 1532-1543. http://www.scopus.com/inward/record.url?eid=2-s2.0-30344487582&partnerID=MN8TOARS.
    10.1007/s10625-005-0311-2
  48. Arutyunov, A.V.; Karamzin, D.Yu.. "Relaxation and perturbation of optimal control problem with state constraints". Vestnik Moskovskogo Universiteta. Ser. 15 Vychislitel'naya Matematika i Kibernetika 2 (2002): 31-35. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036412705&partnerID=MN8TOARS.
  49. Karamzin, D.Yu.. "To the theory of maximum principle for the problem with state constraints". Vestnik Moskovskogo Universiteta. Ser. 15 Vychislitel'naya Matematika i Kibernetika 4 (2002): 23-31. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036955444&partnerID=MN8TOARS.
  50. Arutyunov, A.V.; Burkov, V.N.; Zalozhnev, A.Yu.; Karamzin, D.Yu.. "A problem of optimal distribution of resources over a set of independent operations". Automation and Remote Control 63 5 (2002): 792-802. http://www.scopus.com/inward/record.url?eid=2-s2.0-84904244107&partnerID=MN8TOARS.
    10.1023/A:1015402122049
Thesis / Dissertation
  1. "Investigation of abnormal and degenerate problems of nonlinear analysis and optimal control, Moscow State University". PhD, 2012.
  2. "Necessary optimality conditions in different classes of extremal control problems, Moscow State University". PhD, 2004.

Other

Other output
  1. A generalized filippov-like existence theorem for optimal control problems with constraints. Made available in DSpace on 2019-10-06T15:40:16Z (GMT). No. of bitstreams: 0 Previous issue date: 2019-01-01. As is known, an optimal control problem may not have a solution. A.F. Filippov in [1] obtained his well-known theorem under the assumption of the convexity of the velocity set. Further, this convexity-based approach was significantly improved in the work of R.V. Gamkrelidze and J. Warga, s. 2019. Karamzin, D. Yu; De Oliveira, V. A. [UNESP]; Pereira, F. L.; Silva, G. N. [UNESP]. http://hdl.handle.net/11449/187562.
    https://doi.org/http://dx.doi.org/10.1016/j.procs.2019.02.082
  2. Regular path-constrained time-optimal control problems in three-dimensional flow fields. 2019. Chertovskih, R.; Karamzin, D.; Khalil, N.T.; Pereira, F.L.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85169491612&partnerID=MN8TOARS.
    10.48550/arxiv.1907.04959
  3. On properness of impulsive extension. Made available in DSpace on 2018-12-11T16:38:01Z (GMT). No. of bitstreams: 0 Previous issue date: 2014-01-01. This article investigates properness of an impulsive extension of the conventional optimal control problem. This includes both the correctness of the solution to impulsive control systems arising as result of an impulsive extension of ordinary differential systems, and existence theorems.. 2018. Karamzin, Dmitry [UNESP]; De Oliveira, Valeriano [UNESP]; Pereira, Fernando; Silva, Geraldo [UNESP]; Oliveira, Valeriano de [UNESP]; Pereira, Fernando L.. http://hdl.handle.net/11449/167710.
    https://doi.org/http://dx.doi.org/10.1109/ECC.2014.6862316
  4. On properness of impulsive extension. Made available in DSpace on 2018-12-11T16:38:01Z (GMT). No. of bitstreams: 0 Previous issue date: 2014-01-01. This article investigates properness of an impulsive extension of the conventional optimal control problem. This includes both the correctness of the solution to impulsive control systems arising as result of an impulsive extension of ordinary differential systems, and existence theorems.. 2018. Karamzin, Dmitry [UNESP]; De Oliveira, Valeriano [UNESP]; Pereira, Fernando; Silva, Geraldo [UNESP]. http://hdl.handle.net/11449/167710.
    https://doi.org/http://dx.doi.org/10.1109/ECC.2014.6862316
  5. On properness of impulsive extension. Made available in DSpace on 2018-12-11T16:38:01Z (GMT). No. of bitstreams: 0 Previous issue date: 2014-01-01. This article investigates properness of an impulsive extension of the conventional optimal control problem. This includes both the correctness of the solution to impulsive control systems arising as result of an impulsive extension of ordinary differential systems, and existence theorems.. 2018. Karamzin, Dmitry [UNESP]; De Oliveira, Valeriano [UNESP]; Pereira, Fernando; Silva, Geraldo [UNESP]. http://hdl.handle.net/11449/167710.
    https://doi.org/http://dx.doi.org/10.1109/ECC.2014.6862316
  6. An indirect numerical method for a time-optimal state-constrained control problem in a steady two-dimensional fluid flow. 2018. Chertovskih, R.; Karamzin, D.; Khalil, N.T.; Pereira, F.L.. http://www.scopus.com/inward/record.url?eid=2-s2.0-85133881476&partnerID=MN8TOARS.
    10.48550/arXiv.1810.08530
  7. On Properness of Impulsive Extension. Made available in DSpace on 2015-11-03T18:25:24Z (GMT). No. of bitstreams: 0 Previous issue date: 2014-01-01. Fundação para a Ciência e a Tecnologia (FCT). Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP). Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq). This article investigates properness of an impulsive extension of the conventional optimal control problem. Thi. 2015. Karamzin, Dmitry [UNESP]; Oliveira, Valeriano de [UNESP]; Pereira, Fernando; Silva, Geraldo [UNESP]. http://hdl.handle.net/11449/130359.
  8. On the Study of Complex Impulsive Systems. Made available in DSpace on 2015-03-18T15:52:36Z (GMT). No. of bitstreams: 0 Previous issue date: 2015-01-01. The article investigates complex impulsive systems in which the so-called controlling systems jumps effect emerges. In particular, this research includes the correctness of the solution to the impulsive control system and approximation lemmas. A 3D model example is provided which illustrat. 2015. Karamzin, Dmitry [UNESP]; Oliveira, Valeriano de [UNESP]; Silva, Geraldo [UNESP]; Pereira, Fernando L.. http://hdl.handle.net/11449/116220.
    https://doi.org/http://dx.doi.org/10.1007/978-3-319-10380-8_5
  9. On the Study of Complex Impulsive Systems. Made available in DSpace on 2015-03-18T15:52:36Z (GMT). No. of bitstreams: 0 Previous issue date: 2015-01-01. The article investigates complex impulsive systems in which the so-called controlling systems jumps effect emerges. In particular, this research includes the correctness of the solution to the impulsive control system and approximation lemmas. A 3D model example is provided which illustrat. 2015. Karamzin, Dmitry [UNESP]; Oliveira, Valeriano de [UNESP]; Silva, Geraldo [UNESP]; Pereira, Fernando L.. http://hdl.handle.net/11449/116220.
    https://doi.org/http://dx.doi.org/10.1007/978-3-319-10380-8_5
  10. On Properness of Impulsive Extension. Made available in DSpace on 2015-11-03T18:25:24Z (GMT). No. of bitstreams: 0 Previous issue date: 2014-01-01. Fundação para a Ciência e a Tecnologia (FCT). Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP). Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq). This article investigates properness of an impulsive extension of the conventional optimal control problem. Thi. 2015. Karamzin, Dmitry [UNESP]; Oliveira, Valeriano de [UNESP]; Pereira, Fernando; Silva, Geraldo [UNESP]. http://hdl.handle.net/11449/130359.
Activities

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2023/09/01 - Current SYSTEC/CMUP Seminar is a seminar series focused on research in Applied Mathematics, including Analysis, Numerical Methods, and Scientific Computing. The seminars are held on an occasional basis at FEUP and FCUP, bringing together researchers and students to promote scientific exchange and interdisciplinary collaboration. (2023/09/01)
Workshop (Co-organisor)
 Universidade do Porto Centro de Investigação em Sistemas e Tecnologias, Portugal

Universidade do Porto Centro de Matemática, Portugal
2022/09/01 - Current SYSTEC Talks is a platform dedicated to promoting in-depth discussions and knowledge sharing on state-of-the-art topics in the field of systems and technology. The initiative takes place weekly at FEUP and brings together researchers, students, and external experts, fostering scientific debate and the dissemination of current research. (2022/09/01)
Meeting (Co-organisor)
 Universidade do Porto Centro de Investigação em Sistemas e Tecnologias, Portugal

Conference scientific committee

Conference name Conference host
2024/07/17 - 2024/07/19 16th APCA International Conference on Automatic Control and Soft Computing (CONTROLO 2024) University of Porto - Faculty of Engineering
2015/03/03 - 2015/03/04 1st international Workshop “Problems and Challenges of Modern Mathematics in a Broad Perspective: A Walk from Differential Geometry to Optimal Control”, São Jose do Rio Preto IBILCE-UNESP
2010/10/19 - 2010/10/23 6 th Moscow International conference on Operation Research (ORM2010), Moscow, Russia Moscow State University
2004/09/21 - 2004/09/24 4 th Moscow International conference on Operation Research (ORM2004) Moscow State University
Distinctions

Award

2011 Medal from the Russian Academy of Sciences “300 years of Mikhailo Lomonosov”
2010 First prize in CCAS contest of scientific papers (institution competition)
2006 Nominative scholarship from the President of the Russian Federation
2006 Laureate of the Russian Science Support Foundation
2000 Gold medal from Moscow State University

Other distinction

2012 Support for leading research teams of young scientists from the Russian Foundation for Basic Research. Project 12-01-33023. (Coordinator).