Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
30
2-3
1998
Reduction Theory in Extrapolation Problems
1-10
V. I.
Vasil'ev
Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
Basic principles of the reduction theory in the pattern recognition problem are presented in a brief form. It is shown that these principles can be used in the solution of many extrapolation problems like reconstruction of deterministic and membership functions, classification, and forecasting.
Multicriteria Method for Solution of Variational Control Problems
11-22
Albert N.
Voronin
National Aviation University, Kiev, Ukraine
A method for solution of variational control problems is proposed. The time of transition process is divided into stage during each of which the control is represented by a constant being varied, and the validity of terminal conditions is considered as the validity of the terminal tests. The initial variational problem is reduced to the minimization problem for a function of several variables.
Application of Numerical Optimization Methods to the Reduction of Order of the Transfer Function of a Control Object
23-27
V. E.
Zhukovskii
St. Petersburg Military Radio Electronics School, St. Petersburg
Vladimir I.
Gostev
State University of Information and Communication Technologies of Ministry of Transport and Communication of Ukraine, Kiev, Ukraine
Numerical optimization methods are proposed to use in the reduction of transfer functions of control objects.
On the Effect of Impulse Noise on the Accuracy of Discrimination of Time-Frequency Coded Signals
28-32
D. I.
Zelinskiy
Glushkov Institute of Cybernetics of National Academy of Science of Ukraine, Kiev
A number of analytical relations is obtained that allow us to calculate the probability of error in a channel with impulse noise as a function of estimates of quality of communication lines together with signal and demodulator parameters.
Simulation of Quantum Control Systems. Part I. System Analysis of Physical Constraints
33-38
Sergey A.
Smirnov
Institute of Physics and Technology of National Technical University of Ukraine "Kiev Polytechnic Institute", Kiev
The paper develops an algebraic approach to the study of quantum control systems that is based on bilinear dynamical models defined on orbits of the adjoint representation of a compact Lie group. A mathematically correct model is constructed for the physical statement of the problem; the limits of its physical correctness are found.
Control of the Spherical Motion of a Spacecraft in the Earth Magnetic Field. Part II. Orientation and Stabilization
39-51
Alexander I.
Tkachenko
International Research and Training Center of Information Technologies and Systems of National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, Kyiv
Dmitriy V.
Lebedev
International Research and Training Center of Information Technologies and Systems of National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, Kyiv
This paper continues the study of the problem on determination of parameters of the spherical motion of a spacecraft and control of this motion using only the Earth magnetic field. The problem of damping the angular velocity of this spacecraft and construction of three-axis orientation regime is solved. An algorithm for estimation of parameters of the spherical motion, which has a wide region of convergence, is proposed.
The Problem of Synthesis and Computation of an Active Distributed Feedback
52-59
Ludmila I.
Samoilenko
Institute of Space Research of National Academy of Sciences of Ukraine and National Space Agency of Ukraine, Kiev
Principles for constructing active regulating media with characteristics being reconstructed are presented. It is shown that nonlinear dielectrical structures with parametric stimulation can be used for this purpose. Conditions under which a medium reflects the falling waves with an amplification are found. An application of the regulating medium in the stabilization problem of low-inertial electrodynamic objects is considered. The transfer function of this problem is constructed, and the amplification coefficient of the distributed feedback is computed.
Nonlinear Stability and Bifurcation Sets of Stationary States of Wheel Robots under the Change of Control Parameters
60-77
V. G.
Verbitsky
Institute of Railway Transportation, Kiev
Leonid G.
Lobas
Kyiv Institute of Railway Transport, Ukraine
The paper considers straight line and circular motions of mobile pneumowheel robots for an automated production in a neighborhood of critical speeds of motion that are stipulated by the fact that one eigenvalue of the linearization matrix vanishes. Bifurcation sets are analytically constructed.
Estimation of the Oscillation and Other Qualitative Characteristics of Transition Processes in Discrete Automated Control Systems
78-85
A. G.
Shevelev
Kiev International University of Civil Air Fleet, Kiev
Methods for obtaining upper estimates of oscillation and other qualitative characteristics of transition processes in discrete automated control systems are presented. These methods are justified. A region of location of roots of the characteristic polynomial is isolated, and the connection between the location of these roots inside this region and the quality characteristics is revealed. A method that allows one to find the location of all roots inside this region is elaborated.
A Model of Fuzzy Process for Control Problems of Fuzzy Dynamical Systems
86-91
V. P.
Bocharnikov
National Research Center of Defense Technologies and Military Security of Ukraine, Kiev
A model of the fuzzy process that is based on the fuzzy integral with respect to an extended fuzzy measure is considered. The statement and proof of theorems on the representation of the fuzzy process by a fuzzy integral equation are presented. The possibility of the use of such equations in control problems of fuzzy dynamical systems is shown.
Structural Methods for Increasing the Quality of ACS
92-95
V. A.
Klimantov
Glushkov Institute of Cybernetics of National Academy of Science of Ukraine, Kiev
S. R.
Raikhman
Glushkov Institute of Cybernetics of National Academy of Science of Ukraine, Kiev
Stanislav V.
Abramovich
Institute of Space Research of National Academy of Sciences of Ukraine and National Space Agency of Ukraine, Kyiv
Structural transformations that allows one to increase the quality of a control system of vibroexperinents are studied. Additional possibilities of the system that are ensured by introducing a PC into it are considered.
Recursiveness of the Pseudoinversion under Adaptation of Control Algorithms
96-103
Sergey V.
Bondar
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine
Nikolay Fedorovich
Kirichenko
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv
The identification problem is discussed using the theory of the matrix pseudoinversion. Algorithms for adaptive control and control choice are obtained.
Simulation of Quantum Control Systems. Part II. Mathematical Aspects of the Problem
104-110
Sergey A.
Smirnov
Institute of Physics and Technology of National Technical University of Ukraine "Kiev Polytechnic Institute", Kiev
An algebraic approach to the study of quantum control systems is presented. This approach is based on models of bilinear dynamics defined on orbits of the adjoint representation in compact Lie algebras. The verification of the finiteness of dimension is based on the averaging method, which is used in the passage to the description of the process in "real" time scale. The Hamiltonian character of the controlled motion on an orbit is proved, and an invariant measure is constructed.
Identification of Elastic-Mass Characteristics of an Aircraft by Results of Frequency Tests
111-118
V. M.
Sineglazov
Institute of Electronics and Control Systems of National Aviation University, Kiev
A. F.
Akhmadiev
Kiev International Institute of Civil Air Fleet, Kiev
A mathematical model of elastic oscillations of a beam is considered. An algorithm for identification of elastic-mass characteristics and its numerical implementation are considered
On Optimization Problems for Mixed Systems. Part I
119-127
D. E.
Akbarov
National Technical University "Kiev Polytechnical Institute"
Vasiliy V.
Yasinskiy
National Technical University of Ukraine "Kyiv Polytechnical Institute", Kyiv
Valeriy S.
Melnik
Institute of Applied System Analysis of National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, Kiev
Optimal control problems of objects described by mixed systems including differential equations as well as integral ones are studied. In the first part, regularity conditions for optimization problems are studied, and examples are presented.
Synthesis of Bang-Bang Controls in an Analytic Form in Solution of an Optimization Terminal Problem
128-133
Alexander A.
Litvin
Kyiv Air Force Institute
An approach to the solution of an optimization terminal problem for nonlinear dynamical objects is considered. An analytic solution to the adjoint boundary value problem of the maximum principle is obtained; this is attained via the passage from the canonical system of differential equations to equations in complete differentials.
Matrices in Combinatorial Optimization Problems
134-141
N. K.
Timofeeeva
Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
The study and use of property of combinatorial matrices allow one to determine analytically variants of solution in combinatorial optimization problems for which the objective function has equal values. Thus, the domain of seeking the optimal objective function is diminished.
Simulation of the Control Process of the Periodic Irrigation of Agricultural Land
142-147
Yuriy P.
Ladikov-Roev
Institute of Space Research of National Academy of Sciences of Ukraine and State Space Agency of Ukraine, Kiev, Ukraine
Victor I.
Panchuk
Institute of Space Research, National Academy of Sciences and National Space Agency of Ukraine, Kiev
Georgiy A.
Chechko
Institute of Space Research of National Academy of Sciences of Ukraine and National Space Agency of Ukraine, Kyiv
A methodology for watering plots via the periodic irrigation that allows one for a specific type of soil and for the known depth of root-habitable layer and intensity of water absorption by plant roots, to determine the time and intensity of watering that ensure the penetration of water to a given depth with a given accuracy of deviation of the value of humidity from the initial one under the conditions of preservation of the volume of air in the unit of soil volume that is necessary for a normal development of plants and under absence of the water erosion in watering.
Tools for Simulating Real Time Microprocessor Systems
148-152
A. I.
Zhukov
Kiev International Institute of Civil Air Fleet, Kiev
An application of a high-level language for parallel processing (OCCAM) and a transputer network for description of hardware and simulation of real time microprocessor systems are considered.
Mathematical Description of Structure of Mechatronic Systems
153-158
Fedor A.
Sopronyuk
Yuriy Fedkovich Chernovtsy National University
A. V.
Fodchuk
Chernovtsy State University, Chernovtsy
A formal description of simple and complex robots, which are considered as an example of mechatronic control systems, is presented. This description is based on the object-oriented mathematical approach to the problems of simulation and design of complex objects.
Visualization of Scenes of Quadratic Objects Using Line Scanning
159-163
Igor V
Gaidaichuk
Chernovitsy National University
The problem of visualization of scenes consisting of nonlinear objects often arises in automated design systems (ADS). An original method for its solving based on line scanning and finding characteristic pixels is presented.
Multictiteria and Multiparameter Analysis of Preference Functions in Job Ordering Problems. Part I
164-173
Tadeush
Witkowski
Warsaw University, Poland
An algorithm for optimization job ordering problems and methods for generating various preference functions using a control parameter Q(j) are elaborated. An approach to the construction of characteristic functions is proposed in the form of ordering objects from a given sequence to its reverse; also the paper proposes an approach to the determination of fuzzy values of the truth of assertions depending on the schemes of the choice of the preference rules being used.
A Model of a Certain Class of Dynamical Systems with Discrete State Space
174-180
Nikolay A.
Zinchuk
National Technical University of Ukraine "Kiev Polytechnical Institute"
Victor I.
Ivanenko
National Technical University of Ukraine "Kiev Polytechnical Institute"
An original approach to the description of dynamical systems with discrete state space governed by ordinary differential equations is developed. Traditional control problems for a class of dynamical systems with discrete state space are solved on the basis of this approach. A numerical example is presented.
Component Spectral Analysis of Signals with a Stochastic Repetition
181-190
I. N.
Yavorskii
Institute of Physics and Mechanics of National Academy of Sciences of Ukraine, Kiev
I. Yu.
Isaev
Physico-Mechanical Institute, National Academy of Sciences of Ukraine, Lviv
Properties of estimators of the spectral density of periodically correlated stochastic processes which is constructed by using the component estimation method are studied, formulas for the spectral analysis of signals with a stochastic repetition are deduced, and conclusions on the quality of estimation of probability characteristics are presented.
Correction of Controls of Nonstationary Objects on the Basis of the Invariance Property of the Riccati Equation
191-201
Yuriy G.
Bulychev
Rostov Military Institute of Rocket Forces, Rostov-on-Don
Igor V.
Burlai
Rostov Military Institute of Rocket Forces
Using invariants, e-invariants, and generalized invariants of the initial problem, the efficient methods of successive correction of results of the approximation of the Riccati equations on the basis of the "increasing exactness" criterion are developed. An illustrative example is presented.