Zobrazeno 1 - 10
of 1 939
pro vyhledávání: '"Galyaev, A. A."'
Autor:
Galyaev, I. A., Sachkov, Yu. L.
Two left-invariant Lorentzian problems on the Heisenberg group are considered. The Pontryagin maximum principle was applied to both problems and a parameterization of abnormal and normal extremal trajectories was obtained. Reachability sets and the e
Externí odkaz:
http://arxiv.org/abs/2407.07379
The paper considers the geometry of the Modified Solid-Liquid-Vapour equation of state. This model describes a substance state in three phases. Thermodynamics states are points on Legendrian or Lagrangian manifolds in the corresponding contact or sym
Externí odkaz:
http://arxiv.org/abs/2312.01877
Three variants of the statistical complexity function, which is used as a criterion in the problem of detection of a useful signal in the signal-noise mixture, are considered. The probability distributions maximizing the considered variants of statis
Externí odkaz:
http://arxiv.org/abs/2307.14091
Publikováno v:
Automation and Remote Control, Volume 84, Issue 3, Pages 221-236 (2023)
The task of intercepting a target moving along a rectilinear or circular trajectory by a Dubins' car is formulated as a time-optimal control problem with an arbitrary direction of the car's velocity at the interception moment. To solve this problem a
Externí odkaz:
http://arxiv.org/abs/2304.06169
This paper considers the problem of appearance indication of useful acoustic signal in the signal/noise mixture. Various information characteristics (information entropy, Jensen-Shannon divergence, spectral information divergence and statistical comp
Externí odkaz:
http://arxiv.org/abs/2211.09175
Autor:
Buzikov, Maksim, Galyaev, Andrey
In this paper, a pursuit-evasion game of two players known as the game of two identical cars is examined. It is assumed that the game proceeds on a two-dimensional plane. Both players have constant speeds and limited turn radii. The goal of the first
Externí odkaz:
http://arxiv.org/abs/2206.10199
Autor:
Galyaev, Ivan, Mashtakov, Alexey
We consider a natural extension of the Petitot-Citti-Sarti model of the primary visual cortex. In the extended model, the curvature of contours is taking into account such that occluded contours are completed using sub-Riemannian geodesics in the fou
Externí odkaz:
http://arxiv.org/abs/2107.11602
Autor:
Buzikov, Maksim, Galyaev, Andrey
This paper presents the problem of lateral interception by a Dubins car of a target that moves along an a priori known trajectory. This trajectory is given by two coordinates of a planar location and one angle of a heading orientation, every one of t
Externí odkaz:
http://arxiv.org/abs/2102.04553
Autor:
Ivan Galyaev, Alexey Mashtakov
Publikováno v:
Journal of Imaging, Vol 10, Iss 8, p 185 (2024)
An extended four-dimensional version of the traditional Petitot–Citti–Sarti model on contour completion in the visual cortex is examined. The neural configuration space is considered as the group of similarity transformations, denoted as M=SIM(2)
Externí odkaz:
https://doaj.org/article/a2defce5122e41b2834ba2cf72c90a7b
Publikováno v:
In IFAC PapersOnLine 2024 58(13):680-684