Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
32
2
2000
Analysis of the Stability in Large of a Sampled-Data System with Nonlinear Continuous Part by Considering an Approximate Nonlinear Model
1-15
10.1615/JAutomatInfScien.v32.i2.10
Andrey A.
Korshunov
St. Petersburg State University
Anatoliy I.
Korshunov
A.S. Popov Higher Navy School of Radioelectronics, St. Petersburg
sampled-data system
stability in the large
nonlinear system
asymptotic stability
equilibrium.
The stability is analyzed for an approximate analytical model with the same stable state as the initial system has. This is reasoned by the fact that the difference equation for the analyzed system cannot be expressed analytically. The asymptotic stability domain of the model, which contains the corresponding domain of the system, is calculated by use of a convex Lyapunov function. Selection of a required subdomain is made by comparison of the approximation error and the distance between respective level surfaces of the Lyapunov function and its image resulted from mapping it by the approximating model. An application example is given.
A Posteriori Locally Optimal Control of Stochastic Structures
16-20
10.1615/JAutomatInfScien.v32.i2.20
Sergey V.
Sokolov
Rostov State University of Railway Transport (Russia)
Marat R.
Ganeyev
Higher Military and Command School of Rocket Forces, Rostov-na-Donu, Russia
a posteriori control
stochastic structures
synthesis problem
multi-structured dynamic system
real time
computational realization.
We consider a posteriori control by means of a choice of the structures of a stochastic multi-structured nonlinear dynamic object. This control ensures the desired quality of its current functioning in real time. We give an example illustrating the possibility of effective computational realization of the proposed method.
On Stability and Boundedness in Mean Square of Solutions of Neutral Type Stochastic Differential Equations with Some Constant Deviations of Argument
21-33
10.1615/JAutomatInfScien.v32.i2.30
Igor V.
Yurchenko
Yu. Fed'kovich Chernovitsy State University, Ukraine
Vladimir K.
Yasinskiy
Chernovtsy National Yu. Fedkovich University, Chernovtsy, Ukraine
Vitaliy Yu
Bereza
Chernovtsy National Yu. Fedkovich University, Chernovtsy, Ukraine
trivial solution
quadratic form
stochastic functional
mean square
asymptotic stability
Poisson measure
Lyapunov-Krasovskiy functional.
Conditions of absolute stability and boundedness in mean square of trivial solution of the system of neutral type stochastic differential equations with Poisson switchings are obtained for the case of some constant deviations of the argument.
Response Time Reduction for Tracking Systems with Complex Roots of Characteristic Equation by Use of Set-point Action
34-41
10.1615/JAutomatInfScien.v32.i2.40
Grigoriy F.
Zaitsev
State University of Information and Communication Technologies, Kiev
Nelya V.
Gradoboyeva
State University of Information and Communication Technologies, Kiev, Ukraine
Evgeniy V.
Zakharenkov
Institute of Communication of Ukrainian State Academy of Communication, Kyiv, Ukraine
tracking systems
response time
open-ended master control
closed-loop system.
The paper concerns an attempt of decreasing a response time for tracking systems by use of open-ended master control. This is done by compensation of slowly damping items of a transient error component that correspond to complex-conjugate roots of a characteristic equation with small in their absolute values real parts.
Mathematical Models of the Underground Pipeline for Problem of the Corrosion Control
42-50
10.1615/JAutomatInfScien.v32.i2.50
Lyudmila P.
Dikmarova
Physicomechanical Institute of National Academy of Sciences of Ukraine, Lvov, Ukraine
Roman M.
Dzhala
Physicomechanical Institute of National Academy of Sciences of Ukraine, Lvov, Ukraine
triune mathematical model
pipeline with sealing off
soil
antirust
protection
external field
numerical experiments.
The triune mathematical model of the pipeline with sealing off in the soil was suggested for the solution of the problem about the antirust protection of pipelines. The algorithms for definition of the informative characteristics of the pipeline external field were obtained. Numerical experiments were carried out. In particular, the dependence of the field distribution on the resistance of the sealing off cover for a pipeline is shown.
Dynamics and Stability Investigation of the Sensing Element of a Gravity-inertial Accelerations Sensor
51-57
10.1615/JAutomatInfScien.v32.i2.60
Oleg G.
Cheborin
Institute of Space Research of National Academy of Sciences of Ukraine and National Space Agency of Ukraine
Svetlana D.
Zhivilo
Institute of Space Research of National Academy of Sciences of Ukraine and National Space Agency of Ukraine
Mikhail I.
Dem'yanenko
Institute of Space Research of National Academy of Sciences of Ukraine and National Space Agency of Ukraine
sensing element
gravity-inertial sensor
acceleration
mathematical model
stability
dynamics
cryogen instruments
We propose the mathematical model of a sensor of gravity-inertial instruments and consider questions of practical use of the described electromechanical system. We investigate conditions of stability and dynamics of the sensing element of the sensor of gravity-inertial accelerations. These can be useful at design work of cryogen instruments such as the gravimeter, accelerometer, gradiometer, seismograph which are based on interaction between superconducting circuits.
Microprocessor Automatic Control System with Phase and Frequency Digital Control of Two-Phase Asynchronous Motor
58-61
10.1615/JAutomatInfScien.v32.i2.70
Vladimir I.
Gostev
State University of Information and Communication Technologies of Ministry of Transport and Communication of Ukraine, Kiev, Ukraine
Alexander A.
Baranov
State Commitee of Communicatin and Informatization of Ukraine
Nikolay N.
Prisyazhnyuk
National Scientific Research Center of Defence Technologies and Military Security, Kyiv
direct digital control
asynchronous motor
low-power and power parts
phase displacement
installation
comparison element
phase and frequency method
timer
microcontroller
main oscillator
Microprocessor automatic control system with device for direct digital control of the asynchronous executive motor is described. Accuracy of its work is significantly increased by application of both frequency and phase control methods. The functional and schematic circuits of controlling (low-current) part of the system are described.
Recognition of the Contour Isolated Images by the Modified Probing Method
62-65
10.1615/JAutomatInfScien.v32.i2.80
Alexey N.
Roshchina
Taras Shevchenko Kyiv State University, Ukraine
Rostislav N.
Trokhimchuk
Taras Shevchenko Kyiv State University, Ukraine
recognition
contour isolated images
modified probing method
learning sample
recognition speed
The effective procedure for recognition of contour isolated images of a broad class is suggested. The procedure is based on the modified probing method. The mechanism for automatic construction of a system of probes, which uses a learning sample of N elements, is described. It is shown that the mentioned method provides the estimate of the recognition speed O (log N).
Obtaining of Recurrence while Determination of the Product of a Matrix with Complicated Elements by an Arbitrary Vector
66-69
10.1615/JAutomatInfScien.v32.i2.90
Vladimir P.
Kravchenko
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
Vitaliy P.
Boyun
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine
recurrence formulas
product of a matrix by a vector
complicated elements
computational complexity
volume of computations
quadratic dependence
linear dependence
We consider the approach for obtaining the recurrence formulas for computation of the product of a matrix with complicated elements by an arbitrary vector. As a result of this, the quadratic dependence of the volume of computations upon the system order is changed by the linear one. The considered approach can be used efficiently for a whole series of the applications connected with investigation of physical fields of different nature, complex biological systems, problems of mechanics of continua and others.
Solution of Intricate Problems of Dynamics with a Computer
70-76
10.1615/JAutomatInfScien.v32.i2.100
Vitaliy A.
Vyshinskiy
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine
Vladimir F.
Zadorozhnyi
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine
Yuriy S.
Yakovlev
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
complex dynamic systems
beam of charged particles
machine algebra
operations of high level algebra
systolic structure
high level language
internal mathematical software
aberration
high-current plasma lenses
The paper deals with a new approach that allows to study some properties of complex dynamic systems and apply them to solution of Vlasov-Poisson equations. This approach is based on nontraditional algebra applied for constructing algorithms and organizing the calculation process.
Quality Testing of Computation Programs of Discrete Fourier and Wallsh Transform
77-81
10.1615/JAutomatInfScien.v32.i2.110
Kuantay A.
Abdikalikov
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine
Svetlana S.
Melnikova
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine
quality testing
computation programs
discrete transform
Fourier transform
Wallsh transform
applied software
estimations
the speed of response
computation optimization
We consider the questions of quality testing of the programs which realize the computation algorithms, being effective towards the speed of response, of fast Fourier and Wallsh transforms and evaluating their characteristics.
Design of the Electronic Equipment of Control Engineering Systems Using the Multiple Approach
82-87
10.1615/JAutomatInfScien.v32.i2.120
Vladimir P.
Evtushok
Khmelnitsk National University, Ukraine
design
analysis
electronic equipment
control engineering systems
the multiple approach
set of solutions
deviations
rating values
We consider the possibility of use of the multiple approach for designing of the electronic equipment of control engineering systems. We analyze the one-stage direct-current transistor amplifier as an example. We show that defining the parameters of elements in the form of “interval type” sets, we get the result also as an “interval set”. This approach sufficiently reduces the volume of computations while designing the electronic equipment of control engineering systems and analysis of the circuit in the parameters change range of elements.
Neural Networks in the Intelligent Information Systems of Production Control
88-93
10.1615/JAutomatInfScien.v32.i2.130
Galina
Setlak
Zheshuvskiy Politechnical Institute, Poland
hybrid expert system
decision-making support
production control
semistructured or non-structural problems
fuzzy knowledge
neural Hamming net
example
The paper presents the project of the hybrid expert system for decision-making support in production control. Since the majority of problems, which are solved on industrial control, are semistructured or non-structural, it is proposed to use the neural Hamming net as an output mechanism for processing fuzzy knowledge in the system. The sample of the problem solution on choosing the product policy is considered.
Invariant Estimation of Sound Speed
94-95
10.1615/JAutomatInfScien.v32.i2.140
Alexander D.
Polonskiy
Sumy State University
sound speed estimation
invariant estimation
invariant transformation of random process
a priori statistic uncertainty of interference
The method and system for the stable estimation of sound speed under condition of a priori statistical uncertainty of interference is suggested.
Price Formation for Economic System with Monopolists
96-109
10.1615/JAutomatInfScien.v32.i2.150
Nikolay S.
Gonchar
N.N. Bogolyubov Institute of Theoretical Physics of National Academy of Sciences of Ukraine, Kiev, Ukraine
Andrey Ph.
Makhort
N.N. Bogolyubov Institute of Theoretical Physics of National Academy of Sciences of Ukraine, Kyiv
open economic system
economic model
constant interests of consumers
monopolists
existence of the balanced prices
necessary and sufficient conditions
strictly positive solution
profitability
The open economic system is investigated within the frames of the economic model with constant interests of consumers and under the presence of monopolists. The theorem about existence of the balanced prices for mentioned model is proved. Necessary and sufficient conditions for existence of the strictly positive solution of the problem are given. The problem about the sufficient conditions for industry profitability is solved. Ways of minimization of negative influence of monopolists onto other industries are considered.
The Laws of Optimal Fiscal and Monetary Policy in a Macroeconomic IS-LM Model
110-114
10.1615/JAutomatInfScien.v32.i2.160
Vasiliy M.
Gorbachuk
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
fiscal and monetary policy
macroeconomic model
optimal economic policy
The algorithm for calculating fiscal and monetary control parameters, a taxation level, a budget deficit, state expenditures, real money, a real interest rate and a real exchange rate, has been designed within the known Keynesian IS-LM macroeconomic model under the assumption on a fixed price level.
On an Inventory Model
115-117
10.1615/JAutomatInfScien.v32.i2.170
Svetlana S.
Demchenko
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine
inventory problem
loss function
risk function
The paper concerns inventory control of replenishment of an infinite-capacity stock. The proven conditions on the existence of an optimal (s, S)-policy are given.