Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
29
1
1997
Systems of Balanced Type
1-15
Leonid M.
Boychuk
International Research and Training Center of Information Technologies and Systems of National Academy of Sciences of Ukraine and Ministry of Education of Ukraine, Kyiv
The problem of the structural analysis of a special class of multivariable dynamic systems (balanced systems) is considered. In such systems, the qualitative behavior of the output values is shown to substantially depend on the direction of the vector of input variables (external actions).
Method for Linearization of Deterministic Nonlinear Mathematical Models of Control Objects
16-22
Oleg V.
Babak
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 method of the linearization of nonlinear mathematical models of control objects and its practical application are considered.
Relaxations of Attainable Sets and Their Generalized Representation in the Class of Two-Valued Finitely Additive Measures
23-31
Alexander G.
Chentsov
N.N. Krasovsky Institute of Mathematics
and Mechanics of Ural Branch of Russian
Academy of Sciences, Ural Federal
University, Ekaterinburg
O. A.
Cherepanova
Institute of Mathematics and Mechanics, Ural Division, Russian Academy of Sciences
The paper is aimed at constructing sets of asymptotic attainability in the space of functionals with the topology of pointwise convergence for the case where the constraints imposed on the choice of another system of functionals are perturbed. The construction of an extension in the class of two-valued normalized finitely additive measures is suggested for the case of embedding of the "conventional" solution space by assigning a Dirac measure to a selected point. The structure of the attraction set for the class of approximate solutions of the directedness type is established. The possibility for this set to be implemented in a "neighborhood" way as a "close" image set for the corresponding relaxation of the system of constraints is also established.
On the Fenchel-Moreau Duality in a Differential Game of Several Players with the Terminal Payoff Function
32-39
Iosif S.
Rappoport
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
A quasilinear differential game of several players with the terminal payoff is considered in this paper. The method for solution such games is proposed which is based on the concepts of the Fenchel-Moreau duality and the Minkowski duality in the general scheme of the method of resolving functions adapted for solution of game problems with the terminal set of a special form The developed approach allows us to enlarge the class of game problems which admit a solution and to indicate new possibilities of application of convex analysis in the optimization of control processes.
Singularly Perturbed Control with Delay Problem
40-43
Vitaliy P.
Zholtikov
Odessa National I.I. Mechnikov University
Vladislav V.
Efendiev
European University, Uman
A singularly perturbed parametric control problem with a constant delay is considered. A high-order asymptotic approximation of a solution to the initial-value problem is constructed with the help of the A. B. Vasil'eva theorem. Estimates of trajectories and the solution functional of the initial-value problem as well as the asymptotic approximation of the solution are proved.
Investigation of the Stability of Continuous Dynamic Systems
44-54
O. P.
Gavril'chenko
Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
Sufficient conditions for asymptotic stability of continuous dynamic systems have been studied. The results obtained are based on the concept of the spectral radius of the exponential of a multivalued mapping of a special type.
Group Pursuit in Quasilinear Differential-Difference Games
55-62
G. G.
Baranovskaya
Kiev National Technical University, Kiev
L. V.
Baranovskaya
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv
An approach to the solution of the quasilinear group pursuit differential-difference problem based on the method of resolving functions is proposed. The guaranteed capture time is found, and the corresponding control law is constructed. The results are illustrated by a model example.
On a Nonstationary Pursuit Problem
63-73
Alexey A.
Chikriy
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv
A method for solution of nonstationary quasilinear differential games which is based on the use of inverse Minkowski functionals is proposed. Sufficient conditions for the finiteness of the pursuit time are obtained.
Estimation of Displacement Currents in the Surroundings and Plasma of the Tokamaks Devices
74-80
Vyacheslav F.
Gubarev
Institute of Space Research of National Academy of Sciences of Ukraine and State Space Agency of Ukraine, Kiev, Ukraine
A method for estimating parameters of the plasma and magnetic field configurations with allowance for the effects of eddy currents is developed. Equations that permit the simultaneous estimation of displacement currents and identification of the parameters of the evolution model are derived. A substantiated technique for solving the equations obtained is described.
Modified Kaczmage Algorithm for Estimating Parameters of Nonstationary Objects
81-90
V. A.
Timofeev
Kharkov Technical University for Radioelectronics
Oleg G.
Rudenko
Kharkov National University of Radio and
Electronics, Kharkov
B. D.
Liberal'
Kharkov Technical University for Radioelectronics
Consideration is given to a generalized Kaczmage algorithm with weighting estimates at several steps and its application to the problem of estimating nonstationary parameters of objects that are described by a regression equation. The main characteristics of the algorithm operation, such as the bias of the estimator, the root-mean-square error, the domain of convergence, and the rate of convergence into the domain in the presence of measurement errors, have been calculated.
Satellite Correction Equations for a Strapdown Inertial System
91-99
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
Equations for satellite correction of an aircraft strapdown inertial navigation system are given. Structure of equations that is suitable for estimating the error vector using a triangular Kalman filter (square-root filter) is specified. The possibility of providing the observability and obtaining estimation of the basic elements of the vector of state under the conditions of a horizontal linear flight is considered.