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The Problem of Eigenvalues in the Problem of Calculating the Pattern of Current Spreading over the Spacecraft Surface
P. 1–4.
In book
M.: IEEE, 2022.
Gribanov D., Shumilov I., Malyshev D. et al., Journal of Global Optimization 2024 Vol. 89 P. 1033–1067
In our paper, we consider the following general problems: check feasibility, count the number of feasible solutions, find an optimal solution, and count the number of optimal solutions in P ∩ Zn , assuming that P is a polyhedron, defined by systems Ax ≤ b or Ax = b, x ≥ 0 with a sparse ...
Added: March 6, 2024
Vostrikov A. V., Prokofyeva E. N., Journal of Space Weather and Space Climate 2022 Vol. 12 Article 29
High-energy charged plasma particles pose a danger to space technology. The accumulation of charged particles on the body of the spacecraft generates discharges. Electrostatic discharge is a source of powerful electromagnetic interference that adversely affects the functioning of individual parts and entire systems. According to statistics, in about 30% of cases, the loss of satellites ...
Added: November 30, 2021
Borisov N., Kravchenko N., Presnyakov S. et al., , in: 2019 8th Asia-Pacific Conference on Antennas and Propagation (APCAP).: IEEE, 2019. P. 309–310.
A formal method is proposed for constructing a macromodel of a linear equivalent electrical circuit of a communication satellite antenna. The macromodel can contain as many phase variables as the antenna designer wants. The macromodel maintains a simple dependence of its output characteristics on the design-technological variable parameters of the antenna model. The use of ...
Added: October 23, 2021
Айзенберг А.А., Бухштабер В.М., Математический сборник 2021 Т. 212 № 5 С. 3–36
Матрицей-стрелкой называется матрица с нулями вне главной диагонали, первой строки и первого столбца. В работе исследуется пространство MStn,λ всех эрмитовых матриц-стрелок размера (n+1)×(n+1), имеющих заданный простой спектр λ. Доказано, что это пространство – гладкое 2n-мерное многообразие с локально стандартным действием тора, описана топология и комбинаторика его пространства орбит. При n⩾3 пространство орбит MStn,λ/Tn не является многогранником, а значит, MStn,λ не является квазиторическим многообразием. Тем не менее на MStn,λ имеется действие полупрямого ...
Added: June 18, 2021
Kharitonov I. A., Popov D., Рахматуллин Б. А., Наноиндустрия 2020 Т. 13 № S5-2 С. 379–385
The paper deals with SPICE models of varying complexity for analyzing the heavy (nuclear) particles impact on CMOS circuits. For the version of the model that takes into account the influence of the electric bias on the parameters of the current pulse, expressions have been given for evaluating the main model parameters, depending on the ...
Added: April 16, 2021
Borisov N., Kasatkin A., Presnyakov S., T-Comm: Телекоммуникации и транспорт 2019 Т. 13 № 2 С. 4–10
The task is to sharply reduce the complexity of analysis, multivariate analysis and parametric optimization of linear and linearized equivalent electrical circuits. The source of such schemes are not only linear electronic circuits, but also circuits formed on the basis of artificial electrical analogies. They can be formed on the basis of finite element methods ...
Added: March 1, 2019
Shitov Y., Linear Algebra and its Applications 2018 Vol. 554 P. 49–50
We prove that the determinant of an n x n 01-matrix with at most n+k non-zero entries does not exceed α^k with α=4^(1/3)≈1.316074. ...
Added: January 30, 2019
Ayzenberg A., Бухштабер В. М., / Series 1803.10449 "1803.10449". 2018. No. 10449.
An arrow matrix is a matrix with zeroes outside the main diagonal, first row, and first column. We consider the space MStn,λ of Hermitian arrow (n+1)×(n+1)-matrices with fixed simple spectrum λ. We prove that this space is a smooth 2n-manifold, and its smooth structure is independent on the spectrum. Next, this manifold carries the locally standard torus action: we describe ...
Added: October 15, 2018
Shitov Y., Linear Algebra and its Applications 2018 Vol. 554 P. 49–50
We prove that the determinant of an n-by-n 0-1 matrix with at most n + k non-zero entries does not exceed α^k with α ≈ 1.316074. ...
Added: September 26, 2018
Shitov Y., Proceedings of the American Mathematical Society 2018 Vol. 146 No. 9 P. 3709–3713
An n × n sign pattern S, which is a matrix with entries 0, +, −, is called spectrally arbitrary if any monic real polynomial of degree n can be realized as a characteristic polynomial of a matrix obtained by replacing the nonzero elements of S by numbers of the corresponding signs. A sign pattern ...
Added: September 26, 2018
Ulyanov S., Gourary M. M., Rusakov S. G. et al., Проблемы разработки перспективных микро- и наноэлектронных систем (МЭС) 2017 No. 1 P. 39–45
The paper presents an approach to the implementation of multiport linear dynamical blocks in a
circuit simulator. Block characteristics are supposed to be presented in the form of rational transfer functions. The
approach is based on the state space method, which allows avoiding problems of numerical convolution. The extension of the approach to the case of the exponential-rational form of transfer function ...
Added: February 19, 2018
Ulyanov S., Проблемы разработки перспективных микро- и наноэлектронных систем (МЭС) 2016 № 1 С. 124–130
The paper presents a new approach to the construction
of reduced linear system in the form of rational transfer
functions. The approach is based on the minimization of
approximation error defined by an integral criterion. The
approach modification aimed at the model order
minimization under the given error norm is also provided.
The approach extension to the case of vector transfer
functions ...
Added: February 19, 2018
Kozhevnikov A., Костенников С. И., Tumkovskiy S., Системный администратор 2015 № 4 С. 86–90
This work presents the results of development of the programs of the calculation of the parameters of the operational amplifier macromodels of the first and second levels with the use of mathematical software package Scilab. The verification of the calculated parameters macro models on a set of test circuits activate the OS with application subsystem ...
Added: March 15, 2015