4

Investigation of Controllability and Regularity Conditions for State Constrained Problems * *This publication was supported by the Russian Foundation for Basic Research, project no. 16-31-60005, and by the Ministry of Education and Science of the Russian Federation (Agreement number 02.a03.21.0008 and project no. 1.962.2017). The results of Section 2 were obtained by the first author under the support of the Russian Science Foundation (project no. 17-11-01168). The third author also acknowledges the support of FCT R&D Unit SYSTEC – POCI-01-0145-FEDER-006933/SYSTEC funded by ERDF, COM-PETE2020, FCT/MEC, PT2020, and Project STRIDE – NORTE-01-0145-FEDER-000033, funded by ERDF, NORTE 2020.

Arutyunov, Aram V., Karamzin, Dmitry Yu., Pereira, Fernando L.
Journal:
IFAC-PapersOnLine
Year:
2017
Language:
english
File:
PDF, 474 KB
english, 2017
15

Necessary conditions of the minimum in an impulse optimal control problem

D. Yu. Karamzin
Journal:
Journal of Mathematical Sciences
Year:
2006
Language:
english
File:
PDF, 689 KB
english, 2006
16

On constrained impulsive control problems

A. V. Arutyunov, D. Yu. Karamzin, F. L. Pereira
Journal:
Journal of Mathematical Sciences
Year:
2010
Language:
english
File:
PDF, 532 KB
english, 2010
17

Principle of maximum in the problem of control under limited phase coordinates

D. Yu. Karamzin
Journal:
Automation and Remote Control
Year:
2007
Language:
english
File:
PDF, 203 KB
english, 2007
22

Pontryagin’s maximum principle for optimal impulsive control problems

A. V. Arutyunov, D. Yu. Karamzin, F. Pereira
Journal:
Doklady Mathematics
Year:
2010
Language:
english
File:
PDF, 208 KB
english, 2010
27

Nonlinear distortions of hyper-Gaussian beams

Yu. N. Karamzin, A. P. Sukhorukov, V. A. Trofimov
Journal:
Radiophysics and Quantum Electronics
Year:
1984
Language:
english
File:
PDF, 424 KB
english, 1984
33

An investigation of smooth maps in a neighbourhood of an abnormal point

Avakov, E R, Arutyunov, A V, Karamzin, D Yu
Journal:
Izvestiya Mathematics
Year:
2014
Language:
english
File:
PDF, 562 KB
english, 2014
34

Maximum principle in an optimal control problem with equality state constraints

Arutyunov, A. V., Karamzin, D. Yu.
Journal:
Differential Equations
Year:
2015
Language:
english
File:
PDF, 448 KB
english, 2015
40

Nonlinear distortions of elliptical light beams

Zakharova, I G, Karamzin, Yu N, Trofimov, V A
Journal:
Soviet Journal of Quantum Electronics
Year:
1987
Language:
english
File:
PDF, 161 KB
english, 1987
50

Minimax Optimal Control Problem with State Constraints

Karamzin, D.Yu., Oliveira, V.A. de, Silva, G.N., Pereira, F.L.
Journal:
European Journal of Control
Year:
2016
Language:
english
File:
PDF, 586 KB
english, 2016