Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
46
7
2014
The Method of Resolving Functionals for a Dynamic Game in a Sobolev System
1-11
Larisa A.
Vlasenko
V. N. Karazin Kharkov National University, Ukraine
Arkadiy A.
Chikriy
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine
We study the game approach problem for a distributed system which is described by a linear differential-operator equation of Sobolev type. To study the differential game the method of resolving functions is extended to the case of Hilbert spaces. The application to partial differential equations of not Kovalevskaya type is considered, in particular, to the investigation of filtering fluids in fractured-porous rocks.
Hard Optimal Stabilization of Nonlinear Dynamic Systems
12-27
Sergey M.
Onishchenko
Institute of Mathematics of National Academy of Sciences of Ukraine, Kiev
The optimization procedure of direct hard synthesis methods for nonlinear stabilization systems by the criterion of A.A. Krasowski generalized work is proposed, developed and studied.
Optimal Boundary Control Problem Solution for Inhomogeneous Biharmonic Equations
28-39
Elena M.
Kiseleva
Oles Honchar Dnipro National University, Dnepr
Lyubov V.
Voloshko
Oles Honchar Dnepropetrovsk National University
Consideration is given to the optimal boundary control problem for inhomogeneous biharmonic equation to be solved by one of the gradient methods. By means of the potential method the linear problem is reduced to the system of Fredgolm integral equations of the first kind. The effectiveness of the algorithm is confirmed by high accuracy of obtained calculations results.
Optimization of Stabilization Processes of Marine Mobile Object in Dynamic Positioning Mode
40-52
Victor L.
Timchenko
Admiral Makarov National University of
Shipbuilding, Nikolaev
Oleg
Ukhin
A procedure for constructing algorithms of building speed optimal stabilization trajectories for a multidimensional mathematical model of a marine mobile object in a dynamic positioning mode is proposed. Robust loop was added to control system with variable structure feedback to ensure the required level of invariance to uncontrollable external disturbances. The results of simulation that demonstrate the effectiveness of the proposed approach are given.
Control of Resonant Electromagnetic Vibrational Drive Using a Digital Filtering Algorithm Based on Discrete Fourier Transform
53-68
Alexander A.
Cherno
Admiral Makarov National University of
Shipbuilding, Nikolaev
An automatic control system of electromagnetic resonant vibrational drive amplitude and frequency is proposed. The system uses a digital filtering algorithm based on the discrete Fourier transform by means of which the amplitude and phase of vibration basic harmonic are determined. This provides the resistance of the control process to the influence of higher harmonic components of the vibrating unit.
Substantiation of Classification of Scheduling Problems Solved in a Multilevel System of Conveyrized Programs Implementation
69-84
Kirill V.
Krotov
Sevastopol National Technical University
The problem of schedule construction for data processing by means of conveyrized programs is formulated. The information model of multilevel system of conveyrized programs execution based on input data analysis, restrictions on the set of solutions, criteria of solution selection is given. The classification of problems of schedules construction for tasks processing by conveyrized programs is presented. The choice of the mathematical apparatus for solving scheduling problems in multilevel systems is substantiated.