Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
33
4
2001
Technical Stability of Forced Dynamic States in Automatic Control Systems with the Variable Structure
15
Konstantin S.
Matviychuk
Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
We obtained the sufficient conditions of technical stability of automatic control systems with the variable structure subjected to external disturbances acting on the controlled object. The Corresponding systems of differential equations have the coefficients varying simultaneously with the control function parameters which have discontinuous change. We have shown that the obtained conditions of technical stability do not depend upon the presence in the automatic control systems of zero-overshoot responses.
On Determination of Instability of Nonlinear Systems by Sectors Method
10
Victor G.
Gorodetskyi
National Technical University of Ukraine "Igor Sikorsky Kiev Polytechnic Institute", Kiev
The instability problem for some systems of ordinary differential equations is considered. The concept of sector introduced by K.P. Persidsky is used. The possibility of instability analysis of a complete system by means of k-approximation is also considered. The method of constructing the sector in the case of instability is introduced.
Recursive Regularized Algorithm for Identification of Linear Objects
8
Oleg G.
Rudenko
Kharkov National University of Radio and
Electronics, Kharkov
We have obtained the recursive form of the regularized algorithm, which uses the matrix coefficient of regularization. The problem about its convergence is investigated and the results of simulation are presented.
Design of IG- and IE-optimal Experiments in Problems of Interval Models Identification
7
Nikolay P.
Dyvak
Ternopol National Economical University, Ukraine
A technique of construction of IG- and IE-optimal plans for problems of linear multifactor interval models identification is presented. The experiment domain is a sphere. We show that IG-and IE-optimal saturated designs are orthogonal and equivalent to ID- and IA-optimal saturated designs. The procedure of serial IG-optimal planning in polyhedral experiment domain is constructed.
Estimates of Optimal Sets of Initial Data in Structural Form
10
Fedor G.
Garashchenko
Kyiv National Taras Shevchenko University, Kyiv, Ukraine
Vladimir V.
Pichkur
Kyiv National Taras Shevchenko University, Kyiv
Estimation of domain of practical stability for dynamic systems is based on the properties of the optimal by inclusion set of initial conditions. For linear systems in various continuous monotonous geometrical structures, optimal estimates of practical stability are obtained.
Statistical Estimation of the Markov Pattern Recognition Procedure
8
Alexandra A.
Vagis
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine
The estimation of the error for the Bayes recognition procedure based on the Markov chain is made. It is proved that the Bayes method is suboptimal. Complexity of the class of problems is obtained.
Control of Nonlinear Stochastic Systems
10
Vasiliy V.
Yasinskiy
National Technical University of Ukraine "Kyiv Polytechnical Institute", Kyiv
Mariya V.
Trigub
National Technical University of Ukraine "Kyiv Polytechnical Institute", Kyiv, Ukraine
We study nonlinear non-stationary dynamical systems with control described by the Ito equations. The problem of the approximate optimal synthesis of control, which satisfies the beforehand given restriction under the condition of the minimum of the performance criterion in the form of the mathematical expectation is given as integral from a function, which contains the addend with modulus of the control function.
Adaptive Sequency Basis in Problems of Random Signal Filtration
5
Inna D.
Ponomareva
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, Ukaine
Alexey V.
Karpenko
Center of Embryonic Cells "EmCell", Kyiv, Ukraine
Gennadiy V.
Tsepkov
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, Ukraine
A method of filtration of continuous signals based on usage of adaptive system of orthonormalized sequency functions is described. The original process is transformed into a sequence of rectangular pulses and filtration is carried out by extracting pulses of given duration. After that, useful signal is synthesized from the remaining components.
On One Principle of Self-Organization of Mathematical Models
8
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 new approach to solution of problem of self-organization of mathematical models consisting in reducing a multi-dimensional problem to a one-dimensional one is suggested.
On One Approach to the Decision Making Support while Planning Research and Development. Part II. The Method of Goal Dynamic Evaluation of Alternatives
10
Vitaliy G.
Totsenko
Institute of Information Recording Problems of National Academy of Sciences of Ukraine, Kyiv, Ukraine
The article proposes to estimate variants of R&D plan (alternatives) by a set of values of increments of decision main goal achievement degree in the given time interval, these increments being stipulated by the alternative chosen. The alternatives are terminal vertices of the graph of a chain type. The graph describes hierarchy constructed by experts by means of main goal decomposition. Goals and alternatives are described by functions of achievement degree and also by time dependent coefficients of influence upon direct supergoals achievement. Goals of many types are applicable. Alternatives estimates are calculated by the method of goals hierarchy simulation.