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376 results on '"Radchenko, S."'

1. Exploiting EEG Signals for Eye Motion Tracking

Author

Kovtun, R., Radchenko, S., Netreba, A., Sudakov, O., Natarov, R., Dyka, Z., Kabin, I., and Langendörfer, P.

Subjects
Computer Science - Human-Computer Interaction, Electrical Engineering and Systems Science - Signal Processing
Abstract

Human eye tracking devices can help to investigate principles of processing visual information by humans. The attention focus movement during the gaze can be used for behavioural analysis of humans. In this work we describe our experimental system that we designed for synchronous recording of electroencephalographic signals, events of external tests and gaze direction. As external tests we used virtual cognitive tests. We investigated the possibility to exploit electroencephalographic signals for eye motion tracking. Our experimental system is a first step for the designing an automatic eye tracking system and can additionally be used as a laboratory equipment for teaching students., Comment: 5 pages

Published
2022
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13. ASYMPTOTIC SOLUTIONS OF SINGULARLY PERTURBED LINEAR DIFFERENTIAL-ALGEBRAIC EQUATIONS WITH PERIODIC COEFFICIENTS.

Author

RADCHENKO, S., SAMOILENKO, V., and SAMUSENKO, P.

Subjects
LINEAR differential equations, COEFFICIENTS (Statistics), CHARACTERISTIC functions, MATRICES (Mathematics), MULTIPLICITY (Mathematics)
Abstract

The paper deals with the problem of constructing asymptotic solutions for singular perturbed linear differential-algebraic equations with periodic coefficients. The case of multiple roots of a characteristic equation is studied. It is assumed that the limit pencil of matrices of the system has one eigenvalue of multiplicity n, which corresponds to two finite elementary divisors and two infinite elementary divisors whose multiplicity is greater than 1. A technique for finding the asymptotic solutions is developed and n formal linearly independent solutions are constructed for the corresponding differential-algebraic system. The developed algorithm for constructing formal solutions of the system is a nontrivial generalization of the corresponding algorithm for constructing asymptotic solutions of a singularly perturbed system of differential equations in normal form, which was used in the case of simple roots of the characteristic equation. The modification of the algorithm is based on the equalization method in a special way the coefficients at powers of a small parameter in algebraic systems of equations, from which the coefficients of the formal expansions of the searched solution are found. Asymptotic estimates for the terms of these expansions with respect to a small parameter are also given. For an inhomogeneous differential-algebraic system of equations with periodic coefficients, existence and uniqueness theorems for a periodic solution satisfying some asymptotic estimate are proved, and an algorithm for constructing the corresponding formal solutions of the system is developed. Both critical and non-critical cases are considered. [ABSTRACT FROM AUTHOR]

Published
2023
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