bluuebunny/crossref_metadata_2025_split huggingface dataset:
Control device synthesis by polynomial matrix fractional descriptions method with limitation on controller structure
Authors: Voevoda A , Shipagin V , Bobobekov K 
Published: December 2021

Abstract
Modification of the algorithm for the polynomial synthesis of a multi-channel controller was proposed to preserve all control channels in this article. In order to test the functionality of the proposed modification, an example of a linear model of an unstable multi-channel plant is considered. The choice of the plant was determined by the possibility of a visual algorithm demonstration for polynomial synthesis of the controller, taking into account the proposed modifications.The plant was represented as three series-connected standard links: an aperiodic link of the first order, an unstable link, and an integrator, and has three input and two output channels. The control in the system is carried out in the feedback of the system and is summed up with the input impact. The feature of the plant is to limit the task to the second output, since it is essentially a derivative of the first output. In addition, the plant has a direct input–output channel. That is, the traversal matrix of the system is nonzero (when described through the state space). The synthesis task was set as follows: it is necessary to achieve certain quality indicators of the output vector value while maintaining all three control channels of the plant.
Polynomial matrix synthesis method of a subordinate control system
Authors: Voevoda A , Filiushov V 
Published: December 2021

Abstract
The main difference between controlsyn thesis approaches is the various mathematical representation of a plant or system model. The aim of the work is to represent a single channel control plant model by a multichannel one and to obtain an identical design result for a single channel multiloop synthesis method by a multichannel one. For these purposes, direct current motor model is used as an example of a single channel plant. Classical approach to design control system for that kind of plant is to describe it as a serial connected transfer functions and design a multiloop system in accordance with subordinate concept. Polynomial matrix synthesis method with Sylvester matrix is utilized to make identical subordinate regulator. By several transformations, polynomial matrix description was obtained, that describe the plant as one input and three output model and subordinate regulator as a three input and one output model. Arbitrary parameters of regulator were introduced for extended null placement.
On thermoelastic deformation of a transversally isotropic medium in 3D construction printing
Authors: Chirkunov Yu , Pikmullina E , Gasenko I 
Published: December 2021

Abstract
A three-dimensional dynamic model of a thermoelastic transversely isotropic medium is used to describe the thermoelastic deformation of materials with anisotropy of elastic properties with a selected direction of anisotropy. Such materials are layered and composite materials used in construction, mechanical engineering, aircraft and shipbuilding, soils in permafrost conditions, glaciers, as well as rocks (basalt, sandstone, marble, limestone, shale, and others). The study of this model, in particular, is relevant in connection with the use of 3D printers in construction. This is due to the fact that it is necessary to select the heating mode of the 3D printer head, in which cracks will not form during the cooling of the polystyrene concrete layers.We study this model using the group analysis methods, which is one of the most powerful and effective tools for obtaining exact solutions. The group stratification of the system of second-order differential equations defining this model is carried out. A system of first-order differential equations is obtained, which is equivalent to the equations of the original model. The solution describing a traveling wave for this system is obtained, that depends on arbitrary elements: parameters and function. For the specific sets of these elements, we study a deformation of a sphere and cube located inside a thermoelastic transversely isotropic medium with increasing time is found. The corresponding graphs are given.
Predictive Temporal Analytics Method in Situational Modeling of the Evolution of Complex Systems
Authors: Kurnosov A 
Published: December 2021

Abstract
The article discusses the main characteristics of complex systems, as well as the structures, domains and interactions occurring in the course of evolution. The main properties of complex systems are defined to include openness, non-ergodicity, disequilibrium, activity and multiplicity of goals. The classification attributes are defined to include free energy, anthropic factor, incomplete observability, computational irreducibility, dominant coded interactions, dynamic structure and transformable environments. A variety of primary entities, which form complex systems, are represented by two classes, possible individuals and abstract individuals. The space-time structure as a 6D continuum is formulated; spatial and temporal vacuums and quanta of interaction are defined. The three-dimensional time is presented in terms of three orthogonal components: coordinate time, structural time and discrete time. The coordinate time corresponds to the variability of a system when individuals move in space; the structural time corresponds to the variability of a system when the structure of individuals changes; the discrete time corresponds to the variability of the system caused by informational interaction between or within individuals. A model of a one-time ideal event and a continuous event is defined. The interaction between individuals is presented through a two-way reflexive model of cyclic interaction of an actor and an acceptor. The occurrence of post-causes and post-effects of physical interactions is shown to result in unpredictable chains of effects. The essence of the predictive temporal analytics method is presented. The use of the method involves the construction of a six-dimensional hypergraph of cause-and-effect relations with subsequent analysis of a body of causes and effects. The optimal way of evolution of a system is considered a way that maximizes diversity (in terms of liberty of actions, states, goals achieved) and minimizes the energy costs in a certain time perspective.
Minimization of power and energy consumption of mechatronic drives in robotics and technological equipment
Authors: Volkov A , Matsko O , Mosalova A 
Published: December 2021

Abstract
The maximum instantaneous power consumption of robot drives determines the requirements for the energy supply system and the dimensions of the machine. For numerous machines, there are no technological restrictions on the types of applied motion laws and their numerical characteristics i.e. maximum speeds and accelerations. The type of the motion law and especially its parameters are traditionally determined according to the preferences of the design engineer without any justification, though some-times restrictions on maximum accelerations or speeds are considered. The restrictions on maximum accelerations are related to ensuring the strength and accuracy of the drive, and the restrictions on maximum speeds are related to the safety of personnel in the workplace. The motor power is selected according to the maximum value of the instantaneous power and thermal load, which depends on the duration of switching on. The article analyzes the ways of minimizing of this maximum (peak) of instantaneous power inside the cycle for different laws and different loads. The main parameter by which the maximum (peak) power is minimized for all types of laws is the acceleration and braking times. On the example of the most common motion laws, the dependence of instantaneous power and energy consumption on accelerating time and braking time for various types of loads are studied. In this article, the dependence of instantaneous power and energy consumption on accelerating time and braking time for various types of loads are studied on the example of the most common motion laws. The research results are intended to create a design technique for drives of modern equipment.
Digital information system for inland water transport vessels based on AIS
Authors: Bazylev A V , Plyushchaev V I 
Published: December 2021

Abstract
The most important role in ensuring navigation safety on inland waterways is played by the timely provision of navigators with timely and reliable navigational, meteorological and track information, as well as safety information. To solve this problem, the complexes of automatic identification stations’ coastal and ship networks deployed currently can be used. This communication channel (with free traffic for inland waterway transport) is currently used extremely ineffectively due to a small number of serviced vessels. The article substantiates the structure of a digital information system based on deployed networks of automatic identification stations for inland navigation vessels and its functional purpose. The issues of algorithmic and software support development for the process of preparation, transmission, reception and processing of transmitted information are considered. The structure of the database and algorithms for the formalized information packets’ formation in the direction of bank-to-ship are proposed. The formats of address and broadcast messages are presented. A variant of transmitting differential corrections to ships from control-correcting stations via networks of automatic identification stations without using the currently used radio channel is considered. The options for the dialog boxes of the digital information system for the dispatcher and the navigator are given.
Some properties of Glisson distances in the upper half-plane
Authors: Ovchintsev M 
Published: December 2021

Abstract
The author compares the Gleason distance with the distance of Euclid in the unit disk in the upper half plane. The concept of “the Gleason distance” was formulated in the work of H.S. Bear [1] The Gleason distance is defined as follows (see [1]): d = sup |f(z2)-f(z1)|, f(Z)εB1(K) where B
1 (K) is the unit ball in the space of bounded analytic in K functions. The author of the article proves that in the circle K the distances of Gleason and Euclid are equal only when the points are opposite. He found necessary and sufficient conditions, when the distances are equal for the two given points which are symmetrical about the ordinate axis.
Method of lines for solving linear equations of mathematical physics with the third and first types boundary conditions
Authors: Kh Eshmurodov M , Shaimov K M , Khujaev I , Khujaev J 
Published: December 2021

Abstract
The use of the method of lines in solving multidimensional problems of mathematical physics makes it possible to eliminate the discrepancies caused by the use of the sweep method in certain coordinates. As a result, the solution of the Poisson equation, for example, is obtained without using the relaxation method. In the article, the problem on the eigenvalues and vectors of the transition matrix is solved for boundary conditions of the third and first types, used to solve a one-dimensional equation of parabolic type by the method of lines. Due to the features of boundary conditions of the third type for determining the eigenvalues, a mixed method was proposed based on the Vieta theorem and the representation of the characteristic equation in trigonometric form typical for the method of lines. To solve the eigenvector problem, a simple sweep method was used with the algebraic compliments to the transition matrix. Discontinuous solutions of a one-dimensional parabolic equation were presented for various values of complex 1 -αl; the method for solving the characteristic equation was selected based on these values. The calculation results are in good agreement with the analytical solution.
Fujita type global solvability to double nonlinear parabolic equation with nonlinear gradient term for the salt transfer process
Authors: Aripov M M , Baltabaeva R B 
Published: December 2021

Abstract
In this paper we investigated the qualitative properties of non-negative and bounded continuous solutions to problem Cauchy for a degenerate parabolic equation with nonlinear gradient term. We based on splitting algorithm suggest estimate of weak solution for slowly, fast diffusion and critical cases, Fujita type global solvability of the Cauchy problem to degenerate type parabolic equation with nonlinear gradient term established. The theorems proven with comparison principle.
Mathematical modeling of double nonlinear problem of reaction diffusion in not divergent form with a source and variable density
Authors: Aripov M , Matyakubov A S , Khasanov J O , Bobokandov M M 
Published: December 2021

Abstract
In this paper the properties of solutions of nonlinear parabolic equation not in divergence form

|
x

|

−
1

∂
u

∂
t

=

u
q

∂

∂
x

(

|
x

|
n

u

m
−
1

|

∂

u
k

∂
x

|

p
−
2

∂
u

∂
x

)

+
|
x

|

−
1

u
β

are studied. Depending on values of the numerical parameters and the initial value, the existence of the global solutions of the Cauchy problem is proved. Constructed asymptotic representation of self-similar solutions of nonlinear parabolic equation not in divergence form, depending on the value in the equation of the numerical parameters necessary and sufficient signs of their existence. The compactly supported solution of the Cauchy problem for a cross-diffusion parabolic equation not in divergence form with a source and a variable density is obtained.
Geometric models of the run method
Authors: Dubanov A 
Published: December 2021

Abstract
This article discusses models of the run method in the pursuit problem. The considered models are based on the correction of the direction vector. Let’s assume that the intended direction on a plane is the line of sight between the pursuer and the target. The direction correction consists in the rotation of the velocity vector until it coincides with the line of sight. When constructing trajectories on the surface, a line of sight is built on the horizontal projection plane. After calculating horizontal projections, all points are projected back onto the surface. On the basis of the research carried out proposed a mathematical model, proposed mathematical models of the method of pursuit on a plane and on a surface given in an explicit form. Mathematical models are the development of chase and parallel approach methods. A modification of these methods is that the speed of the pursuer and the target are directed at random. These models can be in demand by developers of autonomous unmanned vehicles equipped with artificial intelligence systems.
Fault simulation in networks with isolated neutral to find the fault location in power transmission lines
Authors: Belitsyn I V , Pestov M I , Pavlichenko I A , Belitsyn A I 
Published: December 2021

Abstract
The paper deals with an urgent problem - determining the location of damage to an overhead power transmission line. In particular, the application of the wavelet transform is considered, which makes it possible to localize the temporal position of the frequencies and to determine the time interval of the presence of the frequency in the event of damage to the power line. The paper presents a mathematical model that makes it possible to determine the amplitude-frequency spectrum, by which it is possible to determine the presence of a certain frequency in the signal under study, by which it is possible to determine the fault location. Based on the wavelet transform, the spectra of the current and voltage in the damaged phase in the isolated neutral mode are obtained. It is shown that when the neutral mode is switched, there are no dangerous overvoltage or current surges in the network, and the overvoltage level is reduced.
Methodological approaches to the use of the law of inertia in the development of socio-economic systems
Authors: Ivanova N A 
Published: December 2021

Abstract
The relevance of the proposed study is due to the application of Newton’s laws on the determination of speed and acceleration, which reflects the establishment of the actual specific weights of production factors by phases (stages) of the economies’ development of the countries in the world. By applying the laws of physics, the simplest methods have been developed for decomposing the absolute growth of GDP per capita, according to the factors that determine it. A model of economic growth is determined, which is similar in content to Newton’s first law of measuring the paths traveled with uniformly accelerated motion of matter. By calculation, the forecast parameters of the Russian economy can be determined, which determine the GDP per capita until 2030. At the same time, the basic factors of development (45%), investment in fixed assets (35%) and innovative (20%) remain the main factor in the development of global competitiveness in Russia. To do this, you need to gain the proper acceleration. We propose a new approach for assessing the economic stability of socio-economic systems, based on taking into account the mutual influence of the elements of large systems on each other. The novelty of the research lies in the use of the laws of inertia in the development of the economy, since the existing forecasting activity does not provide for obtaining promising changes in the volume and structure of the forecast. As the competitiveness of the countries of the world develops, the share of basic factors such as labor, capital and natural resources decreases significantly (from 50% in the first stage to 40% in the second, and up to 30% in the third stage of economic development). In the stage of high-tech development of the countries in the world, the proportion of factors of innovative development grows up to 30% comparing with 10% in the first two stages of its development. To illustrate the applied value, Newton’s second law was applied as an alternative method for preliminary estimation of the specific weights of three groups of production factors.
˄C˄C
4
He and ˄C˄C
4
H hypernuclei
Authors: Matskevich E E 
Published: December 2021

Abstract
In our article we consider charmed hypernuclei states having the number of baryons B = 4 and containing two Ae hyperons. To do this we use the technique of the dispersion relations. We obtain the relativistic equations which describe these states. The relativistic amplitudes for 12-quark states, including the constituent quarks of three flavors u, d, c are considered. We find the approximate solutions of these equations and take into account main singularities of the amplitudes. We calculate masses and binding energies of the hypernuclei states ˄C˄C
4
He, ˄C˄C
4
H.
Coastal wave processes numerical modeling for large valley-type reservoirs
Authors: Sukhinov A I , Sidoryakina V V , Protsenko S V 
Published: December 2021

Abstract
The problem of modeling sediment transport and wave processes of large valley-type reservoir under non-stationary conditions of the hydrological cycle active phase (spring-autumn period) is considered. Coupled 2D sediment transport model and 3D wave hydrodynamics was considered to describe these processes, which uses the Navier-Stokes equations. The wave hydrodynamics model is applied to large reservoir of the valley type, such as Tsimlyansky reservoir. Detailed numerical experiments were performed taking into account the real coastline geometry and the bottom relief of the Tsimlyansk reservoir southwestern part. The developed complex of models and programs allows to predict reshaping the bottom relief and coastline under various hydrometeorological conditions. The results of modeling can be in demand when planning water management activities in valley-type reservoirs.
Algorithm for monitoring the plankton population dynamics based on satellite sensing data
Authors: Panasenko N D , Yu Poluyan A , Motuz N S 
Published: December 2021

Abstract
The scientific work describes the algorithms for processing the multispectral water coastal imagery from satellite sensing data with the aim of identifying the phytoplankton population of a spotted structure: determining the contour, distributing color gradation and as a result - determining the concentration of phytoplankton distribution inside the zones and mass centers. Such characteristics let determine the speed of changing contours spots and their concentration, the mass center shift as a consequence of the water masses movement and the processes of phytoplankton growing and dying. All these may be done on the base of the processed image series of the same water area over different time (different dates). The combination of LBP and neural network methods are observed as algorithms for image processing and the results of computer experiments are presented.
Detection of water surface natural objects based on the satellite sensing data
Authors: Panasenko N D , Motuz N S 
Published: December 2021

Abstract
The article shows an application of satellite sensing data method in geoenvironmental monitoring of water surface. It is expected to apply combination of LBP and neural network approaches for detection and identification objects of natural and anthropogenic origin. The applying of satellite images, the implementation and operation of the filtration method and satellite sensing data assimilation in real or near-real time are considered to detect the blooming areas and their coordinates. The research demonstrates the need and possibility to apply neural approach and the theory of deep learning for solving the tasks. The results of computer experiments are presented basing on the images from satellites Resurs-P, WorldView and Landsat over the Azov sea area.
Image processing algorithms application for the modeling biogeochemical cycles of the Azov Sea
Authors: Belova Y V , Rahimbaeva E O , Timofeeva E F 
Published: December 2021

Abstract
In the article biogeochemical processes of the Azov Sea were researched. Mathematical non-stationary 3D model is proposed which describes the development dynamics of the two most common species of phytoplankton populations in the summer, the growth of which is limited by a single biogenic element, is proposed the linearization of continuous mathematical model on a uniform temporal grid is made. For a continuous model, a discrete analogue is constructed and an optimal method for grid equations solving is selected. To determine the boundary of the considered computational domain of a complex shape an image processing algorithm has been developed, implemented as a software module on Python, which makes it possible to obtain a dynamically changing contour of the Azov Sea from satellite images.
Physical and mathematical modeling of cleaning fibrous material from coarse-grained litter
Authors: Tashpulatov D , Plehanov A , Madumarov I , Tashpulatov S , Cherunova I 
Published: December 2021

Abstract
The article provides a recommended scheme and principle of operation of the cleaner of fibrous material from large litter. The results of theoretical studies to determine the laws of motion and the recommended parameters of the working bodies of the cleaning machine are presented. The results of comparative production tests of a fibrous material cleaner from large litter are given. Substantiated the receipt of parameters and modes of operation of the working bodies of the cleaner of fibrous material, in particular cotton.