Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
43
1
2011
To the Problem of the Nonlinear Systems Stabilizability
1-12
Sergey M.
Onishchenko
Institute of Mathematics of National Academy of Sciences of Ukraine, Kiev
It is shown that the conditions of the stabilizability of nonlinear systems in the methods of rigid synthesis are obtained from the general conditions of the stabilizability with a fixed structures of the matrices of coefficients of the used quadratic forms.
Estimates of Perturbations of Nonlinear Indirect Interval Control System of Neutral Type
13-28
Andrey V.
Shatyrko
Kiev National Taras Shevchenko University, Ukraine
Denis Ya.
Khusainov
Kiev National Taras Shevchenko University, Kiev
Jozef
Diblik
University of Technology, CEITEC, Brno (Czech Republic)
Jaromir
Bastinec
Brno University of Technology (Czech republic)
Alena
Ryvolova
Brno University of Technology (Czech republic)
By employing the direct Lyapunov method with original Lyapunovâˆ’Krasovsky functional one has proved the sufficient stability conditions absolute in nonlinearity and time-delay, and interval with respect to parameters. The estimates of exponential decay of solutions and possible coefficients perturbations of the system linear part have been constructed. The results have been presented in the form of constructive algebraic inequalities.
Computer-aided Approach to Construction of Stability Domain in the Two-parameter Plane of Linear Continuous Control Systems Using D-Partition Method
29-35
Sergey L.
Movchan
Consulting center "BIZON", Ternopol, Ukraine
Leonid T.
Movchan
Ivan Pulyui Ternopol National Technical
University, Ternopol
The computer-aided approach to implementation of constructing the stability boundary in the two-parameter plane of the linear continuous system using D-partition method was analyzed avoiding the construction of the total D-partition curve, special lines and without using "Neymark shading".
Identification of Parameters of Parabolic Systems under Impulse and Concentrated Loads on the Basis of Weak Problems
36-64
Ivan V.
Sergienko
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
Vasiliy S.
Deineka
V. M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
By means of approximation of the Dirac delta-function we constructed explicit expressions of gradients of functional-discrepancies for identification of parameters of parabolic systems, which are under impulse and concentrated loads.
Mathematical Model for Optimization Problem of One Multiprocessing Computer System and Its Solution
65-71
Oleg A.
Yemets
Poltava University of Economics and Trade, Poltava
Yelizaveta M.
Yemets
Poltava University of Consumer Cooperatives in Ukraine
Tatyana V.
Chilikina
Poltava University of Consumer Cooperatives in Ukraine
The paper has constructed the mathematical model for the problem of the work optimization of multiprocessing computer system as Euclidian combinatorial optimization problem on a vertex-located set. The theorem about the existence conditions of possible solutions for such problems have been formulated and proved. The method for solving such type problems as the extension of combinatorial cutting method has been proposed.
Modeling of Multicomponent Systems
72-84
Boris A.
Beletskiy
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine
The paper deals with modeling of the systems composed of locally interacting particles. The proposed basic local interactions allow one to model flexibly certain classes of processes.