PROGRAM SYSTEMS: THEORY AND APPLICATIONS

12+

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

Papers are accepted in the form of a PDF file

To view the PDF files, you will need Adobe Acrobat Reader

• Содержание выпуска •
• Software and Hardware for Distributed Systems and Supercomputers •
• Mathematical Modelling •
• Supercomputing Software and Hardware •
• Mathematical Foundations of Programming •
• Methods for Optimal Control and Control Theory •
• Artificial Intelligence, Intelligence Systems, Neural Networks •

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 # 30_2016 16 p. PDF	submitted on 17th Okt 2016 displayed on website on 16th Dec 2016 Anton Popov Asymptotics of a section by a plane of the sub-Riemannian sphere on the Engel group near abnormal trajectory In this paper we compute an asymptotics of the curve that is the intersection of the unit sub-Riemannian sphere on the Engel group with the subspace {x = z = 0} near the abnormal trajectory. It follows from the asymptotics that this curve is not analytic at the point (1, 0, 0, 0). (In Russian). Key words: sub-Riemannian structure, elliptic integrals, asymptotics.
article citation	http://psta.psiras.ru/read/psta2016_4_161-176.pdf
DOI	https://doi.org/10.25209/2079-3316-2016-7-4-161-176
Article # 34_2016 17 p. PDF	submitted on 23th Okt 2016 displayed on website on 28th Dec 2016 A. Mashtakov, R. Duits A Cortical Based Model for Contour Completion on the Retinal Sphere We introduce a natural spherical extension of a well-known contour perception model due to J. Petitot, G. Citti and A. Sarti, which additionally takes into account the spherical nature of the retina. Such a spherical extension was initially proposed by U. Boscain and F. Rossi. We extend their model by taking into account a relevant anisotropy parameter controlling the stiffness of optimal spherical contours, and an external cost modeling the non-uniform distribution of photoreceptors on the retina. Key words: Association Field, Visual Cortex, Cortical Magnification, Sub-Riemannian Geodesics, Lie Group SO(3).
article citation	http://psta.psiras.ru/read/psta2016_4_231-247.pdf
DOI	https://doi.org/10.25209/2079-3316-2016-7-4-231-247

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

Adress: Ailamazyan Program Systems Institute of the Russian 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. Website: http://psta.psiras.ru