PROGRAM SYSTEMS: THEORY AND APPLICATIONS

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Online Scientific Journal published by the Ailamazyan Program Systems Institute of the Russian Academy of Sciences

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• Supercomputing Software and Hardware •
• Artificial Intelligence, Intelligence Systems, Neural Networks •
• Information Systems in Culture and Education •
• Methods for Optimal Control and Control Theory •
• Mathematical Foundations of Programming •
• 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 .

 

Article # 29_2017

37 p.

PDF

submitted on 25th Oct 2017 displayed on website on 20th Nov 2017

Aleksander Stolbov
Software for complex studies of social-ecological and economic systems based on Region models: an analytical review

The article presents a historical overview and current state in the development of software that supports the research of social ecological and economic systems based on the “Region” models. The review covers development from the mid-1970s to the present.
The analysis of publications, reports and, where it was possible, documentation was carried out. The architecture of software systems, their main features and implementation methods were considered and analyzed. To represent some aspects of software, UML diagrams are exploited. The main purposes of considered software systems are the following: calculation experiment and scenario analysis, solving optimization and normalization problems, analyzing model properties and identifying parameters. The classification and comparison of software were carried out, then conclusions are drawn and future works delineated. (In Russian).


Key words:
software, social ecological economical systems, analytical review.

article citation

http://psta.psiras.ru/read/psta2017_4_47-83.pdf

DOI

https://doi.org/10.25209/2079-3316-2017-8-4-47-83

Article # 32_2017

15 p.

PDF

submitted on 11th Dec 2017 displayed on website on 25th Dec 2017

Irina Rasina, Oles Fesko, Aleksandr Blinov
Affine operator networks

In this paper, we consider affine operator networks as a special case of two-level model of networks described by ordinary differential systems. For this kind of networks an optimal control problem is formulated. Sufficient optimality conditions are given. The efficiency is demonstrated through an example. (In Russian).


Key words: operator networks, two-level systems, optimal control.

article citation

http://psta.psiras.ru/read/psta2017_4_117-131.pdf

DOI

https://doi.org/10.25209/2079-3316-2017-8-4-117-131

Article # 34_2017

14 p.

PDF

submitted on 04th Dec 2017 displayed on website on 25th Dec 2017

V. Markasheva, A. Mashtakov
Existence of Global Fundamental Solution to a Class of Fokker–Planck Equations

In this paper, we investigate global solvability of the Fokker–Planck equations of a special type. Such equations arise in models of the primary visual cortex of the human brain and describe a process of anisotropic blurring of the image of the visual field on the retina of the eye. By modifying the Folland lifting technique for linear hypoelliptic differential operators satisfying the Hormander condition, we propose a method to saturate the system of vector fields in the equation to a basis of the tangent space at every point. We present the conditions that guarantee existence of a global fundamental solution to the considered equations.


Key words: nilpotent and stratified Lie groups, lifting of operator, saturation, fundamental solution.

article citation

http://psta.psiras.ru/read/psta2017_4_149-162.pdf

DOI

https://doi.org/10.25209/2079-3316-2017-8-4-149-162

Article # 35_2017

16 p.

PDF

submitted on 11th Dec 2017 displayed on website on 25th Dec 2017

Andrei Ardentov, Alexander Smirnov
Controlling a mobile robot along Euler’s elasticae

In this paper, we consider the problem of controlling a wheeled robot on a flat surface without obstacles. Arduino platform is a basis of the robot. We investigate the class of optimal controls that first appeared in the classical Euler’s elastic problem. Finally, we present several examples of movement of the robot along Euler’s elasticae and study the problem of trajectory avoidance from elasticae and possible ways to solve it. (In Russian)


Key words: mobile robot, kinematics, Euler’s elastica, Arduino.

article citation

http://psta.psiras.ru/read/psta2017_4_163-178.pdf

DOI

https://doi.org/10.25209/2079-3316-2017-8-4-163-178

Article # 37_2017

17 p.

PDF

submitted on 04th Dec 2017 displayed on website on 28th Dec 2017

Elena Sachkova
Nondegenerate abnormal control in sub-riemannian problem with growth vector (2, 3, 5, 8)

Nilpotent sub-Riemannian problem with growth vector (2, 3, 5, 8) are considered. Canonical abnormal controls are described. Formulas for the corresponding conjugate vectors of the Pontryagin maximum principle are obtained. (In Russian).


Key words:
sub-Riemannian problem, abnormal controls, abnormal trajectories.

article citation

http://psta.psiras.ru/read/psta2017_4_179-195.pdf

DOI

https://doi.org/10.25209/2079-3316-2017-8-4-179-195

• Supercomputing Software and Hardware •
• Artificial Intelligence, Intelligence Systems, Neural Networks •
• Information Systems in Culture and Education •
• Methods for Optimal Control and Control Theory •
• Mathematical Foundations of Programming •
• Software and Hardware for Distributed Systems and Supercomputers •

 

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© Electronic Scientific Journal "Program Systems: Theory and Applications" 2010-2017
© Ailamazyan Program System Institute of RAS 2010-2017