Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
31
4-5
1999
Issue 4
0
Numerical and Numerically-analytical Methods for Calculation of Versal Model Parameters Based on the Campbell-Hausdorff Expansion
1-5
Valeriy V.
Udilov
The International Research and Training Center of Information Technologies and Systems of National Academy of Sciences of Ukraine and Ministry of Education of Ukraine, Kyiv
Methods for calculation of versal model parameters based on the Campbell-Hausdorff decomposition well-known in the group theory are proposed in this article.
Singularities of Manifolds of Stationary States of Dynamic Systems under Change of Control Parameters
6-11
V. G.
Verbitsky
Institute of Railway Transportation, Kiev
Two- and three-parameter families of stationary states of a dynamic system are considered. A loss of stability in the critical case of one zero eigenvalue of the linearization matrix is connected with real bifurcations. The manifolds of stationary states at the respective point have cusp or butterfly singularity.
Computer Methods for Study of Fractal Properties of Systems with Chaotic Dynamics
12-21
Mikhail V.
Artyushenko
Institute of Space Research of National Academy of Sciences of Ukraine and National Space Agency of Ukraine, Kyiv
Oleg V.
Nikitenko
Kyiv International University, Kyiv
The considered computer methods of investigation of systems with chaotic dynamics are based on the assumption that the properties of such systems can be analyzed by the form of their strange attractors, which form the fractal sets, or by the section of the attractors by the Poincare plane. Computer methods and geometric models for studying such fractal sets are presented in the paper. The methods are based on the iterated systems of Barnsley functions and integer arithmetic.
Differential and Integral Form of Kalman Filter in Problems of Identification of Statistical Characteristics of Dynamic Systems
22-32
Mikhail Z.
Zgurowsky
National Technical University of Ukraine "Kyiv Polytechnical Institute"
Vladimir N.
Podladchikov
Institute of Applied Systems Analysis of National Technical University of Ukraine "Kiev Polytechnical Institute"
An alternative approach is proposed for solving the problem of identification of the statistic characteristics of noise in a linear dynamic system. An integral representation of Kalman filter is used for analysis of residuals of a filter which has maximal sensitivity with respect to the values of the parameters subject to identification.
Some Conjugate Differential Games of Pursuit
33-42
O. M.
Patlanzhoglu
Institute of Cybernetics, National Academy of Sciences of Ukraine, Kiev
Alexey A.
Chikriy
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv
A notion of conjugate game is introduced for a wide class of linear differential games of pursuit. It is shown that the times of termination of the initial and conjugate games are the roots of the same equation. The results are illustrated by examples.
Optimization Procedure for Solution of the Generalized Silvester Matrix Equation
43-56
Anatoliy V.
Nikitin
Chernovtsy National Yu. Fedkovich University; and Technical Training College No. 6, Chernovtsy; Kiev National Taras Shevchenko University, Kiev
Igor V.
Yurchenko
Yu. Fed'kovich Chernovitsy State University, Ukraine
The problem of examination of stability of a system of linear stochastic differential equations with Poisson switchings (the lto-Skorokhod model) is reduced to the problem of solution of the generalized Silvester equation in a class of additionally defined matrices by the methods of dynamic programming. An iterative procedure is proposed for solving the generalized Silvester matrix equation.
On Optimization of a Mix of the Purely Determininstic and Monte-Carlo Algorithms
57-62
E.
Senkiene
Institute of Mathematics and Information Sciences, Vilnius
A stochastic optimization algorithm is considered in the paper. The results in mean for a mix of the purely deterministic and Monte-Carlo algorithms are presented in the examples. The optimal mix is determined.
Robust Control of a Maneuvering Elastic Spacecraft
63-74
Evgeniy M.
Potapenko
Zaporozhye National Technical University, Zaporozhye
A. G.
Bichay
State Technical University, Zaporozhye
A spacecraft (SC) maneuvering without constraints on its position and having unknown inertial characteristics and parameters, which characterize elasticity of its construction, is considered. The spacecraft is subjected to unknown external disturbances. A control system robust with respect to those uncertainties is synthesized. The control system provides any prescribed motion of the SC body and damping of elastic oscillations. It is assumed that a gimballes inertial system corrected by some position sensors is implemented on the SC as a source of information. Special sensors and actuators intended for damping elastic oscillations are absent in the control system.
High-Accurate Stabilization of a Spacecraft with Incomplete Actuators
75-84
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
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
A high-accurate system of spacecraft attitude stabilization with actuators in the form of engine-flywheels is considered. In order to achieve a required accuracy of the spacecraft stabilization, disturbances caused by technological defects of manufacture and mounting of flywheels are estimated and compensated with the use of a recursive filtering algorithm.
Decomposition of Parameters and Construction of State Identifiers of an n-Mass Elastic Electromechanical System
85-91
Victor Yu.
Arkadiev
Kherson State Technical University, Kherson, Ukraine
Ways and methods of decomposition, identification, and construction of state identifiers of an n-mass electromechanical system are considered. Principles used as the basis of the developed method, namely, definition of representative modes with appropriate coordinate conversion are discussed.
A Universal Model of Technological Scheme of a Pumping Plant
92-97
K. G.
Gritsenko
State University and Frunze SMNPO, Sumy, Ukraine
V. A.
Tolbatov
State University and Frunze SMNPO, Sumy, Ukraine
V. D.
Chervyakov
State University and Frunze SMNPO, Sumy, Ukraine
A model in the form of a regular technological scheme is proposed and its mathematical description as an oriented graph is given. The method is presented of transition to description of technological schemes in a matrix form, which is useful for design of software procedures for selection of pumping paths.
Pseudoinversion of Integral Operators in the Problems of Observation, Terminal Control, and Simulation of Dynamics of Distributed Parameter Systems
98-105
Vladimir Antonovich
Stoyan
Kyiv National Taras Shevchenko University, Kyiv, Ukraine
A problem of inversion of solutions of equations of distributed parameter systems dynamics is considered. It is assumed that the solution is represented by a Green function. The problem is solved by generalizing the results on pseudoinversion of discrete systems to the continuous case. The solutions are compared with the results obtained earlier on simulation of these problems with discrete observation of system state.
Optimal Control of Nonstationary Processes of Heat and Mass Exchange with a Complex Flow Structure
106-115
R. Ts.
Oganesyan
Institute of Applied Systems Analysis, National Academy of Sciences and Ministry of Education of Ukraine
The actual problem of control of a fluid or gas flow provided that the environment is the carrier of heat, energy, and mass is considered in this paper. The system of Navier-Stokes equations has been modified with regard for its further application to problems of control of heat and mass exchange processes with a complex flow structure. The problem of optimal control consists of minimization of the functional that includes the flow turbulence. A heat flow through definite parts of the domain boundary is considered as a control action. The existence of the optimal control is proved and several first order optimality conditions are obtained.
On the Derivative of Thermal Conduction Kernel
116-119
Victor G.
Bondarenko
National Technical University of Ukraine
"Igor Sikorsky Kiev Polytechnic Institute",
Kiev
Alexey N.
Novikov
Physicotechnical Institute of National Technical University of Ukraine "Kiev Polytechnical Institute", Ukraine
The logarithmic gradient is calculated for the fundamental solution of a parabolic equation with variable coefficients.
Recognition of Reflected Ultrasonic Signals Using Neural Networks
120-126
Roman
Kuc
Yale University, Yale, USA
Gennadiy M.
Bakan
Training and Complex "Institute of Applied System Analysis" Ministry of Education and Science of Ukraine and National Academy of Sciences of Ukraine at National Technical University of Ukraine"Kiev Polytechnical Institute",Kiev
Victor V.
Volosov
Institute of Space Research of National Academy of Sciences of Ukraine and National Space Agency of Ukraine, Kyiv
Nataliya N.
Kussul
Institute of Space Research of National Academy of Sciences of Ukraine and State Space Agency of Ukraine, Kiev, Ukraine
Andrey Yu.
Shelestov
National University of Life and Environmental Sciences of Ukraine, Kiev
The problem of recognition of reflected ultrasonic signals using a neural classifier of the perception type with a single hidden layer is considered. Results of experiments with different sets of informative features in time domain are given.
Application of Models of Interacting Intelligent Agents for Systems Simulation of Social Processes
127-129
G. N.
Pomerantseva
National Technical University of Ukraine "Kiev Polytechnical Institute", Kiev
The article is dedicated to the development of methods of social modeling based on systems of distributed artificial intelligence and interacting intelligent agents. A social agent structure and methods of agents' interaction using communication mechanisms of the "Blackboard" type are proposed.
Mathematical Model of Snow Slide Formation
130-136
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
The main idea of development of a mathematical model of "wet" snow slide formation is presented based on the fundamental laws of continuum mechanics. The equations of water and heal transfer in snow cover for the spring snow melt period are obtained. These equations differ from conventional ones in that they allow for the dependence of the gravitation potential on the volume content of water in snow cover. The boundary conditions with regard for weather conditions are discussed for the obtained equations. A criterion of downfall of snow under conditions of its total water saturation is obtained.
Issue 5
0
On Optimal Sets of Practical Stability
1-12
Fedor G.
Garashchenko
Kyiv National Taras Shevchenko University, Kyiv, Ukraine
Vladimir V.
Pichkur
Kyiv National Taras Shevchenko University, Kyiv
Some properties of bundles of trajectories of dynamic systems are analyzed. Necessary and sufficient optimality conditions providing practical stability of the system are presented for the sets of initial conditions. Numerical algorithms for determination of maximum stability domains under specific constraints are constructed based on theoretical results.
Construction of Multivariate Modal Proportional Controllers
13-19
Vladimir T.
Matvienko
Kyiv National Taras Shevchenko University, Kyiv
Construction of multivariate modal controllers which make a closed system asymptotically stable is considered for linear stationary systems. A set is determined of all perturbations constantly acting on the control, which make an asymptotically stable system to attain a desired point in the phase space. The system is synthesized by selecting the structure of distribution of control actions. An algorithm is presented for solution of the stated problem.
Generality of Alternative Robust Control Systems
20-23
Evgeniy M.
Potapenko
Zaporozhye National Technical University, Zaporozhye
V. G.
Bichay
State Technical University, Zaporozhye
It is shown that superficially different robust control systems are close in dynamic sense or are completely equivalent.
Attitude Control of a Spacecraft in the Orbital Coordinate System Using Ellipsoidal Estimates of its State Vector
24-32
Victor V.
Volosov
Institute of Space Research of National Academy of Sciences of Ukraine and National Space Agency of Ukraine, Kyiv
The problem of attitude control of a rigid body in the orbital coordinate system is considered. Algorithms for ellipsoidal estimation of the state vector of the control object (CO) are used in the control loop. As distinct from the well-know algorithms, these algorithms are characterized by robustness relative to violations of a priory assumptions as to CO. The control algorithms are synthesized based on the direct Lyapunov method and its generalizations. The efficiency of the adaptive control algorithms is illustrated by results of computer simulation.
Synthesis of Active Controlling Media for Distributed Control of Electromagnetic Processes
33-41
Ludmila I.
Samoilenko
Institute of Space Research of National Academy of Sciences of Ukraine and National Space Agency of Ukraine, Kiev
Problems of creation of active controlling media based on parametrically modulated nonlinear dielectric are considered in the paper. Principles of application for this purpose of nonlinear electrotechnic materials with domain structure are formulated. Mathematical modeling of wave processes in a parametrically activated medium is presented. Problems of its resonant excitation and interaction with the field of controlled object are solved.
The Problem of Parametric Optimization under Conditions of Uncertainty of Information
42-48
N. I.
Poltorachenko
State Technical University of Civil Engineering and Architecture, Kiev
V. M.
Mikhaylenko
State Technical University of Civil Engineering and Architecture, Kiev
The problem is solved of parametrical optimization of a technical network under conditions of uncertainly of initial data expressed in terms of interval numbers and functions.
Analytical Synthesis of the Probabilistic Characteristics of One Class of Non-Markovian Processes
49-56
Sergey V.
Sokolov
Rostov State University of Railway Transport (Russia)
Nowadays analytical methods for synthesis of probabilistic characteristics of random processes exist only for Markovian processes and are based on solution of the Fokker-Plank-Kolmogorov equation. The article presents an approach that allows us to solve such a problem for non-Markovian processes, which are described by approximated solutions of stochastic nonlinear integrated equations in general form. The basis for the method proposed is a representation of the integral equation by two-point boundary-value problem with its subsequent solution by the invariant embedding method.
Model of a Controllable Continuous Fuzzy Process Based on a Fuzzy Integral Equation
57-62
V. P.
Bocharnikov
National Research Center of Defense Technologies and Military Security of Ukraine, Kiev
A model of a controllable fuzzy process is considered based on a fuzzy integral over an extended fuzzy measure. The theorem of representation of a controllable fuzzy process by a fuzzy integral equation is formulated and proved.
On Stability of Discrete Wave Models with a Not Self-Adjoint Operator
63-69
Yu. A.
Gladkaya
V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine
A study is made of a method of numerical simulation of wave processes described by the parabolic Schrodinger equation with complex not self-adjoint operator. Solvability and stability of the proposed discrete problem are examined.
The Generalized L-Problem of Moments In an Abstract Linear Normalized Space with Constraints in the Form of Linear inequalities
70-75
V. A.
Gnatyuk
Bogdan Khmel'nitskii State Pedagogical Institute, Kamenets-Podol'skii, Academy of Frontier Troops, Khmel'nitskii
O. V.
Borovik
Bogdan Khmel'nitskii State Pedagogical Institute, Kamenets-Podol'skii, Academy of Frontier Troops, Khmel'nitskii
The case is examined where constraints imposed on a system are inequalities. A convex weakly* compact set is taken as u in contrast to the ordinary L-problem of moments. The optimal solution of the generalized L-problem of moments is obtained. The conditions under which it is achieved are pointed out.
Spectral Synthesis in the Problems of Control with Bounded Operators
76-91
Vladimir E.
Kapustyan
Dnepropetrovsk State University, Dnepropetrovsk Technical University of Railway Transport; National Technical University of Ukraine "Kiev Polytechnic Institute", Kiev
V. E.
Belozerov
Dnepropetrovsk State University, Dnepropetrovsk Technical University of Railway Transport
Let A, B, and C be real bounded operators describing the state, input, and output of a linear dynamic control system in Hilbert space. For some classes of those operators, a procedure has been developed of synthesis of a bounded operator K of linear output feedback such that the poles of the resolvent of the operator A + BKC, which defines the state of the closed system, coincide with zeros of any given integer real function of the type
1 + g(μ;) = Π (1 − μ;μ;i−1, where Σ|μ;i−1| < ∞
Generalization of the Constant Variation Formula for Linear Nonuniform Stochastic Equation
92-97
I. Ya.
Spektorskii
National Technical University "Kiev Polytechnical Institute"
The paper deals with the generalization of the well-known formula of variation of aconstant to stochastic equations with random bounded diffusion and drift and to equations of determinate diffusion and determinate unbounded drift.
Admissible Approximation of Discrete Argument Functions and its Application to Data Compression
98-112
Nikolay P.
Lepekha
Kyiv National Taras Shevchenko University, Kyiv
I. A.
Popiv
V. M. Glushkov Institute of Cybernetics, NAS of Ukraine, T. G. Shevchenko National University, Intelligent Systems, Ltd., Kiev
Nikolay Fedorovich
Kirichenko
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv
The article considers the problem of approximation of functions of digital argument. The solution of this problem is reduced to determination of necessary and sufficient conditions of solvability of linear inequalities. These conditions are formulated in the form of a theorem defining the algorithms of their testing. Original mathematical results allow us to state the problem of data compression in terms of admissible approximations. Pilot software implementing the algorithm is described.
Construction, Identification, and Analysis of Stability of Linear Linguistic Control Systems
113-121
A. Yu.
Sokolov
Kharkov Aviation Institute
An approach to the analysis of fuzzy control systems is considered. It consists in construction of linguistic models in the state space by assigning linear space properties to a set of linguistic values. The approach proposed allows us to solve the problems of identification of model parameters and carry out the stability analysis and synthesis of linguistic control systems.
Analysis and Modeling of Economic Processes of the Transitional Period
122-130
O. V.
Polovtsev
National Technical University of Ukraine "Kiev Polytechnical Institute" and Kherson State University
Petr I.
Bidyuk
Institute for Applied System Analysis of National Technical University of Ukraine "Igor Sikorsky Kiev Polytechnic Institute", Kiev
Some processes of transition economy are analyzed and mathematical models describing the dynamics of these processes are proposed. A model in the form of ordinary differential equations is constructed for the privatization process. Based on this model, an optimal control problem is formulated for a privatization process such that its state variables are the output of factories of a certain branch during the privatization period and the number of employees working in the same branch.
Characteristics of Stationary-State Manifolds of Controllable Wheeled Robot With Deffects of Symmetry
131-136
V. G.
Verbitsky
Institute of Railway Transportation, Kiev
The effect of the asymmetry parameter on the stationary-state manifolds of a wheel robot in a neighborhood of the critical speed of a rectilinear motion is analyzed.