Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
32
5
2000
An Approach Game Problem under the Failure of Controlling Devices
1-8
Arkadiy A.
Chikriy
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine
L. V.
Baranovskaya
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv
Alexey A.
Chikriy
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv
The linear game problem of trajectory approaching of the conflict controlled process with a given terminal set under the condition of failure of controlling devices of the first player is studied. The sufficient conditions and guaranteed time of the game completion are given. The results are illustrated on model example.
Analysis of Dynamics of Nonlinear Duffing-Van-der-Pole Oscillator Using Versal Models
9-19
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
The technique of investigation of robust changes in the phase space structure of nonlinear oscillator of Duffing-Van-der-Pol type, based on versal models of dynamical systems with variable parameters, is presented. This technique provides an opportunity of subdivision of the vector field singularities variety by the types of corresponding phase portraits and enables one to investigate the phase space structure changes for nonlinear oscillator under critical parameters variations.
On the Solution of a Modal Control Problem in a Limiting Case
20-28
Vasiliy Ye.
Belozyorov
Dnepropetrovsk State University, Ukraine
Let dimensions n, m and p of the state, input and output spaces of a linear control system satisfy the relationship n = mp. The simple sufficient conditions of existence of a real linear output feedback providing any desired placement of the poles of the closed system, symmetrical with respect to the real axis on complex plane, are derived.
Methods of Optimal Set Partitioning for Some Start Control Problems with Quadratic Functional
29-39
Larisa S.
Koriashkina
Oles Honchar Dnepropetrovsk National University
The start problem of control of a parabolic system with quadratic functional is considered. Possibility of use for its solution of the approach, based on reducing the optimal control problem with help of the Green functions technique to the optimal set partitioning (OSP) problem and further solving by OSP-method, is investigated. For the optimal OSP-problem solution of the operational equation is obtained.
Practical Stability of Discrete Processes, Estimates and their Optimization
40-49
Fedor G.
Garashchenko
Kyiv National Taras Shevchenko University, Kyiv, Ukraine
Igor A.
Kutsenko
Kyiv Taras Shevchenko State University, Ukraine
The estimation problem of initial set of practical stability for difference equations is solved. Optimization of estimations is considered. Developed algorithms were used for solving optimal design problems for some system of acceleration and focusing.
Stability Criteria Based on Estimates of Dissipation
50-56
Multidimensional nonlinear dynamical systems described by a system of vector-matrix integral equations are considered. Technique of dissipativness estimation, that uses some estimates of integrals, is proposed. Initial estimates of dissipativness are specified by construction of an iterative procedure. Convergence and asymptotics of such iterations are studied. The criteria of asymptotic stability are received as conditions of convergence of a proposed iterative procedure to the «zero-estimate» of dissipativness.
Synthesis of Optimal Technological Structures in High-technology Industries and Distribution of Resources for their Development. Part II. Synthesis of Optimal Structures and Initiation of New Technologies
57-63
Alexander A.
Negoda
National Space Agency of Ukraine
The problem of determination of resource distribution for science capacious branch development is considered. The problem of the synthesis of effective technological production structure under conditions of occurrence of new competing technologies, which require the specific primary expenditure to put them into operation is also discussed. The problems of relation between the amount of allocations for fundamental investigation development and emergence of the new technologies are discussed.
Simulation and Generalized Optimization in Pseudo-Hyperbolical Systems
64-72
Sergey I.
Lyashko
Kiev National Taras Shevchenko University, Kiev
Dmitriy A.
Klyushin
Kiev National Taras Shevchenko University, Kiev
Larisa I.
Palienko
Kiev National Taras Shevchenko University, Kiev, Ukraine
The paper is devoted to investigation of chemical substances migration process in saturated porous media. The adequate mathematical model of this process is a pseudo-hyperbolical equation. The theorem of existence of solution of the optimal control problem for this model in the class of generalized finite-order functions is proved.
Control of Thermal State of a Layered Cylindrical Solid
73-84
The problem of control of the temperature regime on the outer wall of the inner cylinder of a multilayered body by alteration of the heat flow on the thin inclusion is considered.
Optimal Control of Nonlinear Stationary Heat Exchange Process in a Dispersed Layer of Pellets Taking into Account Heat Radiation
85-101
Temuri A.
Modebadze
A.Tsereteli State University, Kutaisi, Georgia
Pavel A
Kovalev
National Technical University of Ukraine, "Kyiv Politechnical Institute", Ukraine
The problem of solvability for nonlinear operator-differential system describing a nonlinear process of heat exchange in the dispersed layer of pellets is investigated. Optimization and control of this system is studied. Properties of the main operators generated by the nonlinear boundary problem describing the process under study are investigated. Solubility of the nonlinear boundary problem with mixed conditions is proved. Regularization and necessary conditions for optimal control are also discussed.