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• Содержание выпуска •
• Artificial Intelligence, Intelligence Systems, Neural Networks •
• Methods for Optimal Control and Control Theory •
• Supercomputing Software and Hardware •
Methods for Optimal Control and Control Theory
Responsible for the Section:
doctor of physico-mathematical Sciences Yury Sachkov.
On the left: assigned number of the paper, submission date, the number
of A5 pages contained in the paper,
and the reference to the full-text PDF
/r1/pdf.jpg) .
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Article #
7_2020
20
p.
/r2/pdf.jpg)
PDF |
submitted on 30th
Oct 2019 displayed on
website on 27th
Apr
2020 Kamil B.
Mansimov, Rashad O. Mastaliev
Necessary
conditions for quasi-singular controls in the stochastic optimal
control problem with delayed argument
The optimal control problem is considered, the
mathematical models of which are defined by
non-linear stochastic Ito differential equations with a
delay argument and diffuse components that allow one to take
into account random disturbances of a
continuous nature acting on the system.
A linearized necessary optimality condition is obtained under the
assumption that the domain admissible control
is convex. The quasi-singular case is
investigated. The general necessary optimality conditions for
quasi-singular controls are described.
Partial cases are considered. (in Russian).
Key words: stochastic control theory, Ito equations, singular
controls. |
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article citation |
http://psta.psiras.ru/read/psta2020_2_3-22.pdf |
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DOI |
https://doi.org/10.25209/2079-3316-2020-11-2-3-22 |
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Article # 8_2020
13 p.
/r1/pdf.jpg)
PDF |
submitted on 15th
Apr 2020 displayed on
website on 10th
May
2020 Irina V. Rasina,
Oles V. Fesko
Sufficient
relative minimum conditions for discrete-continuous control systems
(in Russian)
In this paper, we derive sufficient relative minimum
conditions for discrete-continuous control
systems on the base of Krotov’s sufficient optimality
conditions counterpart. These conditions can be used as
verification conditions for suggested control
mode and enable one to construct new numerical methods.
Key words:
heterogeneous systems, optimal control problem, local
extremum. |
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article citation |
http://psta.psiras.ru/read/psta2020_2_47-59.pdf |
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DOI |
https://doi.org/10.25209/2079-3316-2020-11-2-47-59 |
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Article #
9_2020
13 p.
PDF |
submitted on 15th
Apr 2020 displayed on
website on 10th
May
2020 Irina V. Rasina,
Oles V. Fesko
Sufficient
relative minimum conditions for discrete-continuous control systems
In this paper, we derive sufficient relative minimum
conditions for discrete-continuous control
systems on the base of Krotov’s sufficient optimality
conditions counterpart. These conditions can be used as
verification conditions for suggested control
mode and enable one to construct new numerical methods.
Key words:
heterogeneous systems, optimal control problem, local
extremum. |
|
article citation |
http://psta.psiras.ru/read/psta2020_2_61-73.pdf |
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DOI |
https://doi.org/10.25209/2079-3316-2020-11-2-61-73 |
• Artificial Intelligence, Intelligence Systems, Neural Networks •
• Methods for Optimal Control and Control Theory •
• Supercomputing Software and Hardware •
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Academy of Sciences, PSTA Online Journal, 4 a Peter the First Street,
Veskovo village, Pereslavl area, Yaroslavl region, 152021 Russia
Phone: +7-4852-695-228. E-mail:
info@psta.psiras.ru.
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Electronic Scientific Journal "Program Systems: Theory and
Applications" 2010-2017
© Ailamazyan Program System Institute of RAS 2010-2018
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