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• Содержание выпуска •
• Methods for Optimal Control and Control Theory •
• Software and Hardware for Distributed Systems and Supercomputers •
• Artificial Intelligence, Intelligence Systems, Neural Networks •
• Mathematical Foundations of Programming •
Methods for Optimal Control and Control Theory
Responsible for the Section: doctor of technical Sciences Vladimir Gurman,
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 # 17_2015
15 p.
/r1/pdf.jpg)
PDF |
submitted on
06th
Apr 2015 displayed on
website on 02th
May
2015 Rumyantsev D.
Tsarkov K.
An Optimization
Method for Quasi-linear Stochastic Systems in Application to the
Flexible Satellite Optimal Stabilization Problem
This paper presents theoretical
results derived by authors for a quasi-linear stochastic control
problem with incomplete information. The information constraints
manifest themselves in that each component of the control strategy
vector depends on a preliminary assigned set of precisely measured
state vector components. The results are used to the flexible
satellite stabilization problem. The flexible satellite is a
perfectly rigid artificial Earth satellite with an elastic rod
represented by a radio antenna or gravitational stabilization girder.
The paper contains the solutions of satellite stabilization problem
in various cases of information constraints. These results allow one
to choose a suitable set of the satellite dynamical parameters to be
measured. (In Russian).
Key words:
flexible satellite, stochastic optimal control,
incomplete information. |
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article citation |
http://psta.psiras.ru/read/psta2015_2_3-17.pdf |
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DOI |
https://doi.org/10.25209/2079-3316-2015-6-2-3-17 |
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Article # 19_2015
16 p.
PDF |
submitted on
16th
Apr 2015 displayed on
website on 14th
May
2015 Khrustalev M.,
Onegin E.
Analytical design of controllers for quasi-linear systems on the
infinite time interval
This paper discusses the optimal
control problem of the time invariant quasi-linear systems on the
infinite time interval. Necessary and sufficient condition for the
optimal feedback control are presented. Using this condition, the
mechanical manipulator optimal control problem has been solved. (In
Russian).
Key words: optimal control, quasi-linear
systems, stochastics systems, infinite time interval, mechanical
manipulator. |
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article citation |
http://psta.psiras.ru/read/psta2015_2_29-44.pdf |
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DOI |
https://doi.org/10.25209/2079-3316-2015-6-2-29-44 |
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Article # 20_2015
17 p.
PDF |
submitted on
26th
Apr 2015 displayed on
website on 20th
May
2015 Gauthier J.-P.,
Sachkov Yu.L.
On the free Carnot (2, 3, 5, 8) group
We consider the free nilpotent Lie
algebra L with 2
generators, of step 4, and the corresponding connected simply
connected Lie group G,
with the aim to study the left-invariant sub-Riemannian structure on
G defined by the
generators of L as an orthonormal frame.
We compute two vector field models of
L by polynomial vector fields in
 8,
and find an infinitesimal symmetry of the sub-Riemannian structure.
Further, we compute explicitly the product rule in
G and the right-invariant
frame on G.
Key Words and Phrases: Sub-Riemannian geometry, Carnot group.
Key words: Sub-Riemannian geometry, Carnot
group. |
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article citation |
http://psta.psiras.ru/read/psta2015_2_45-61.pdf |
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DOI |
https://doi.org/10.25209/2079-3316-2015-6-2-45-61 |
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Article # 23_2015
9 p.
PDF |
submitted on
14th
May 2015 displayed on
website on 25th
May
2015 Gurman V.
On Control
Processes in the Systems of Counteracting Spins
The model of quantum system of
interacting spins based on Shr¨odinger equation with linear control
is transformed to the derived system (known from the degenerate
problems theory), equivalent to the original one, but regular and
simmetric opens new perspectives of investigaton for different
particular cases. It is considered a typical case when control
action is distributed uniformly to all spins. In this case the
derived system proved to be same Shr¨odinger equation without
control and regular description of impulse control modes at the
boundaries of time interval. An effective algorithm of control
optimization is proposed. (In
Russian).
Key words: quantum system, spin chain,
Shr¨odinger equation, optimal control, derived system, degenerate
problem, impulse control, turnpike solution, global improvement
method. |
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article citation |
http://psta.psiras.ru/read/psta2015_2_119-127.pdf |
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DOI |
https://doi.org/10.25209/2079-3316-2015-6-2-119-127 |
• Methods for Optimal Control and Control Theory •
• Software and Hardware for Distributed Systems and Supercomputers •
• Artificial Intelligence, Intelligence Systems, Neural Networks •
• Mathematical Foundations of Programming •
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