Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
50
7
2018
On Construction of Centrosymmetric and Anticentrosymmetric Solutions of the Sylvester Matrix Equations
1-6
10.1615/JAutomatInfScien.v50.i7.10
Vladimir B.
Larin
S.P. Timoshenko Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
Sylvester generalized matrix equations
centrosymmetric and anticentrosymmetric solutions
a method of linear matrix inequalities
refining of the obtained solutions
efficiency
examples
An algorithm for solving the centrosymmetric and anticentrosymmetric solutions of the Sylvester generalized matrix equations is proposed. The method of linear matrix inequalities is used for the construction of these solutions. The question of refining of the obtained solutions is considered. The efficiency of the suggested algorithms is shown by the examples.
Numerical Study of the Stability of Composite Materials on Computers of Hybrid Architecture
7-24
10.1615/JAutomatInfScien.v50.i7.20
Alexander N.
Khimich
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
Vladimir А.
Dekret
S.P. Timoshenko Institute of Mechanics of
National Academy of Sciences of Ukraine,
Kiev
Alexander V.
Popov
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
Aleksei V.
Chistyakov
V.M. Glushkov Institute of Cybernetics of
National Academy of Sciences of Ukraine,
Kiev
composite materials under compression
numerical investigation of the stability
multicore computers with graphic processors
composites
three-dimensional theory of stability
"finite-size fibers" model
particular generalized eigenvalue problem
band matrices
The problem of numerical investigation of the stability of composite materials under compression along the reinforced elements using multicore computers with graphic processors is considered. The problem of the three-dimensional theory of stability of composites with the using the "finite-size fibers" model and mathematical methods for its solution are presented. A hybrid algorithm for solving a particular generalized eigenvalue problem for band matrices is proposed.
Efficiency of Application of Low-Thrust Throttling Rocket Engines for Near-Earth Orbital Flights
25-34
10.1615/JAutomatInfScien.v50.i7.30
Boris N.
Kiforenko
S.P. Timoshenko Istitute of Mechanics of National Academy of Sciences of Ukraine, Kiev, Ukraine
Igor Yu.
Vasil'ev
Kyiv National Taras Shevchenko University, Kyiv, Ukraine
Yaroslav V.
Tkachenko
S.P. Timoshenko Institute of Mechanics of National Academy of Sciences of Ukraine, Kiev, Ukraine
motion control of spacecraft
throttling electric rocket engine
constant power
delivery of maximum payload
prescribed orbit transfer
efficiency of the optimal control
model problem
spacecraft transfer from a low near
Research of motion control of spacecraft (SC) with throttling electric rocket engine (ERE) of constant power providing delivery of maximum payload for performing the prescribed interorbital transfer in the central Newtonian gravity field in a given time is under consideration. Efficiency of the optimal control is compared with the computational results, obtained with the use of the classical mathematical model of ideal controllable ERE. The results are obtained in the model problem about SC transfer from a low near-Earth orbit onto the geostationary one. They confirm the adequacy of the constructed mathematical model of the throttling ERE and enable discovering of a number of considerable peculiarities of optimal trajectories.
Investigation of the Influence of Control Forces on the Stability of a Satellite with a Gravitational Stabilizer by Means of Computer Algebra
35-47
10.1615/JAutomatInfScien.v50.i7.40
Andrey V.
Banshchikov
V.M. Matrosov Institute of Systems Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, Irkutsk (Russia)
stability of a satellite
gravitational stabilizer
influence of control forces
qualitative research of dynamic systems
stability
stabilization
system of computer algebra
parametric analysis
The problem of the influence of forces on stability with respect to equilibrium of satellite with a controlled gravitational stabilizer on the circular orbit is researched. In space of the entered parameters the domains with various degrees of instability by Poincare are found. Assuming that the potential system is unstable, the issues of the possibility of its stabilization up to asymptotic stability are considered. The parametric analysis of the obtained inequalities is carried out with the help of Mathematica built-in tools for symbolic-numerical modelling.
Hamiltonian Dynamics of the Symmetric Top in External Axially-Symmetric Fields. Magnetic Retention of a Rigid Body
48-69
10.1615/JAutomatInfScien.v50.i7.50
Stanislav S.
Zub
Kiev National Taras Shevchenko University, Kiev
dynamic stability of magnetic bodies
external axially-symmetric fields
Hamiltonian description
new mathematical models
The new approach of the study of the dynamic stability of magnetic bodies in external axially-symmetric magnetic fields is proposed. The Hamiltonian describing a wide class of mathematical models of a symmetric top interacting with external axially-symmetric fields and the homogeneous field of gravity force is considered. The method is used for a number of known and new mathematical models.
Control System of Cogeneration Power Plant at Partial Electrical Loads
70-78
10.1615/JAutomatInfScien.v50.i7.60
Gennadiy A.
Oborskiy
Odessa National Polytechnic University,
Odessa
Anatoliy N.
Bundyuk
Odessa National Polytechnic University,
Odessa
Olga S.
Tarakhtii
Odessa National Polytechnic University,
Odessa
control system
cogeneration power plant
electrical load
dynamic characteristics
gas-turbine unit.
It is shown that 50% decrease of electrical load in cogeneration power plant leads to change of technological parameters of gas-turbine unit and its dynamic characteristics. At the same time the quality of gas-turbine unit regulation deteriorates. With frequent and prolonged drops in loads a controller setting is recommended to be optimal for 50% load.
On Formalization of Information Dissemination Processes Based on Hybrid Diffusion Models
79-86
10.1615/JAutomatInfScien.v50.i7.70
Evgeniy V.
Ivokhin
Kiev National Taras Shevchenko
University, Kiev
Yuriy A.
Naumenko
Kiev National Taras Shevchenko University,
Kiev
information dissemination
hybrid diffusion model
propagation interval
differential equations
This paper proposes an approach to constructing hybrid mathematical models of dynamics of information dissemination process in a certain social or regional group of population. The proposed technique allows one to describe the levels of influence and storage of information based on the solution of diffusion equation whose variation of propagation intervals is modeled by additional relations in the form of differential equations. A scalar solution for the one-dimensional and two-dimensional representation of contingent is considered.