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• Содержание выпуска •
• Methods for Optimal Control and Control Theory •
• Mathematical Foundations of Programming •
• Healthcare Information Systems •
• Artificial Intelligence, Intelligence Systems, Neural Networks •
• Software and Hardware for Distributed Systems and Supercomputers •
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 #
17_2019
22 p.
/r1/pdf.jpg)
PDF |
submitted on 27th
Aug 2019 displayed on
website on
20th
Nov
2019 Alexander
Kazakov, Anna Lempert, Alexander Stolbov, Boris Saneev, Sergey Popov
Principles of
creating technology for modeling and forecasting the development of
regional fuel and energy complexes of Russia and
Mongolia in respect the energy cooperation
between the two countries
The article relates to the creation of computational
technology for scenario modeling and forecasting the interrelated
development of the national fuel and energy complexes of Russia and
Mongolia, taking into account the cross-country trade in fuel and
energy resources. The study aims to create a methodological basis
for determining the most promising options for bilateral interaction
and, in turn, to evaluate the effectiveness of projects for energy
cooperation between Russia and Mongolia. The scientific framework
for the proposing technology follows principles of agent-based
simulation modeling,
according to which the objects under consideration became elements
of a multi-agent system.
We describe the selection of the Adskit software for the creation of
an agent-based simulation model (ABSM) of the fuel and energy system
of Russia and Mongolia and a justification of the chosen instrument
and propose methodological principles and architecture of ABSM. The
mathematical model for the problem of laying routes of extended
energy objects has the form of a particular case of the variational
problem and deals with which the author’s solution algorithm based
on the principles of geometric optics. (In
Russian).
Key words: computational technology, agent
simulation, mathematical modeling,
computational algorithm, energy cooperation, development scenarios,
fuel and energy complex. |
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article citation |
http://psta.psiras.ru/read/psta2019_4_3-24.pdf |
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DOI |
https://doi.org/10.25209/2079-3316-2019-10-4-3-24 |
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Article # 20_2019
14 p.
PDF |
submitted on 3th
Dec 2019 displayed on
website on 11th
Dec
2019 Andrei Ardentov,
Ivan Gubanov
Modeling of car parking along Markov-Dubins
and Reeds-Shepp paths
We examine three classical model problems to describe
optimal car parking: the Markov problem, the Dubins problem, the
Reeds-Shepp problem. We investigate the kinematic laws for the
trailer when the car is moving along the examined optimal paths. An
interface is developed as Mathematica software. It constructs the
desired optimal paths and the animation of the car (with a trailer)
movement. (In Russian).
Key words: optimal control, time-minimizating
problem, Wolfram Mathematica, kinematic. |
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article citation |
http://psta.psiras.ru/read/psta2019_4_97-110.pdf |
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DOI |
https://doi.org/10.25209/2079-3316-2019-10-4-97-110 |
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Article # 21_2018
29 p.
PDF |
submitted on 26th Nov 2019 displayed on
website on 12th
Dec
2019 Alexey Mashtakov,
Kseniya Putintseva
Image Processing Toolkit Inspired by
Mechanisms of Human Visual Perception
We consider a problem of computer simulation of human
vision. We develop software for image processing by methods based on
the principles of visual perception by humans. The software Visual
Processing performs the first stages of the visual signal processing
by the human brain: blurring images (removing noise), edge detection
(image contours) and orientation analysis (determining the angle of
inclination of the contours). These steps have been modeled by
Gaussian filter to blur and represent the image, a Gaussian
derivative apparatus for edge detection, and a Gabor filter for
determining the orientations. Visual Processing has been developed
in C, tcl / tk using the libpng and libgsl libraries. It performs
the following functions: Gaussian image blur; differentiation of the
image using Gaussian derivatives; edge detection using the Laplacian
of Gaussian (LoG filter); determining the orientation of the
contours and lift of the image to the Lie group SE2 using
Gabor filters. Visual Processing is an open-source software that
aims to build a platform for implementing and testing different
image processing algorithms in the field of mathematical modeling of
vision. (In Russian).
Key words: image processing, vision model,
human visual system, Gaussian derivatives,
Gabor filter, roto-translation group. |
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article citation |
http://psta.psiras.ru/read/psta2019_4_111-139.pdf |
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DOI |
https://doi.org/10.25209/2079-3316-2019-10-4-111-139 |
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Article # 22_2019
21 p.
PDF |
submitted on
12th
Yan 2019 displayed on
website on
06th
Dec
2019 A.M. Tsirlin,
M.A. Zaeva
Conversions of
the convolution operation to the sum and the
asymptotic behavior of the stable polynomials coefficients
Consider the integral transformations which convert
convolution in the domain of originals (functions of scalar real
variable) into the sum of images (functions of scalar real
variable). All these transformations are given up to a linear
operator.
We discuss the properties of one of these transformations, which
converts any exponent the exponent: its relationship with the
Laplace transform, transform of some particular functions and
operations differentiation, integration, shift, time scaling,
multiplication by the exponent, etc.
Transformations of this type we call cumulative by analogy with the
transition from the density distribution of a random variable to its
cumulants. We show that Newton’s formulas that realize the relation
of sums of the same powers of the roots of a polynomial with its
coefficients are cumulative transformation. Also, any transition of
real variable function to its phase (same as the logarithm of the
module of its Fourier transform) is.
We discuss the possible applications and obtain the conditions under
which the sequence of coefficients of a stable polynomial with
increasing its degree is asymptotically normal. (In Russian).
Key words: convolution of originals, integral
transformation, sum of mappings, cumulants,
stable polynomials. |
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article citation |
http://psta.psiras.ru/read/psta2019_4_141-161.pdf |
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DOI |
https://doi.org/10.25209/2079-3316-2019-10-4-141-161 |
• Methods for Optimal Control and Control Theory •
• Mathematical Foundations of Programming •
• Healthcare Information Systems •
• Artificial Intelligence, Intelligence Systems, Neural Networks •
• Software and Hardware for Distributed Systems and Supercomputers •
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