Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
47
2
2015
Modeling of Wave Regimes and Control Parameters at Body Motion under the Water
1-13
Igor T.
Selezov
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Zhelyabov St., 8/4, Kyiv, 03680, MSP, Ukraine
Iurii G.
Kryvonos
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine
Olga V.
Avramenko
Kirovograd State V. Vinnichenko Pedagogical University, Kirovograd
The problem of surface gravity waves generation under the motion of the ellipsoid submerged in a liquid half-space is considered. The problem for a sphere was considered as a special case. Using the mirror transformations for deviation of a free surface there were obtained the exact analytical solutions. The analysis found the existence of motion characteristic regimes under which the form of a free surface can essentially differ. On the basis of numerical simulation there was also investigated the problem for the elliptical wing with the conic nose part deflected with respect to a current. It was shown that the wave drag increased with a noise deflection.
Stabilization of Nonlinear Systems State Observers under Uncertainty
14-24
Sergey M.
Onishchenko
Institute of Mathematics of National Academy of Sciences of Ukraine, Kiev
The main ways of solving the observation problems are analyzed. The stabilization problem of nonlinear system states observer under uncertainty is considered and its solution by the method of accelerated hard synthesis of nonlinear stabilization systems is obtained.
On Determining the Parameters of Sinusoids
25-34
Alexander S.
Apostolyuk
National Technical University of Ukraine "Kiev Polytechnical Institute", Kiev, Ukraine
Vladimir B.
Larin
S.P. Timoshenko Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
The problem of determining the frequencies and amplitudes of sinusoids in an observed signal is considered. The procedure of solving of the system of linear algebraic equations is a main computational procedure of proposed algorithm, i.e., the proposed algorithm is not connected with the integration of the system of differential equations like some well-known algorithms. The case, when the signal under consideration contains one sinusoid and constant component, is considered in detail. The efficiency is illustrated by examples.
Linear-Quadratic Optimal Control Problem for a Hyperbolic System
35-48
Miroslav M.
Kopets
National Technical University of Ukraine
"Igor Sikorsky Kiev Polytechnic Institute",
Kiev
The paper deals with the linear-quadratic optimal control problem for a hyperbolic system. Simultaneous use of the distributed and boundary controls is supposed. The author for this purpose offers a method of Lagrange multipliers, and the Lagrange function includes not only the partial differential equation, but also boundary conditions. For the considered optimization problem the necessary conditions of optimality are obtained. The analysis of these conditions enables one to deduce the system of Riccati integro-differential equations.
Solving the Safe Problem on Matrixes with Two Types of Locks
49-55
Aghaei Agh Ghamish
Yaghaub
National Technical University of Ukraine "Kiev Polytechnic Institute", Kiev
Mathematical safes with two types of locks are considered. Necessary and sufficient conditions of solution existence of the stated problem are determined. We propose the general approach for solving the problem about safe with arbitrary number of locks.
Problem of Distribution and Routing of Transport Blocks with Mixed Attachments and Its Decomposition
56-69
Vladimir A.
Vasyanin
Institute of Telecommunication and Global Information Space of National Academy of Sciences of Ukraine, Kiev
Consideration is given to the mathematical model of the nonlinear multiextreme discrete problem of distribution and routing in the multicommodity network of transport blocks with nested small packages flows of cargoes or messages with different addresses of destination. The special features of its solution for a transport network and data transmission network for nonramified and ramified flows at restrictions on a time of delivery of small packages flows to a recipient and the average time of a delay of flows are discussed. The method of reducing the solution of the original problem to solution of some set of linear multidimensional knapsack problems with binding restrictions is offered. Results of numerical modeling of the solution of a problem on the example of a transport network are given.
On the Problem of Stabilization of Stochastic Differential-Functional Equations with Impulse Markovian Perturbations and Constant Lag. Part III
70-76
Victor I.
Musurivskiy
Chernovtsy Yu. Fedkovich National University; and West-Ukrainian Economic and Law University, Chernovtsy, Ukraine
Vladimir K.
Yasinskiy
Chernovtsy National Yu. Fedkovich University, Chernovtsy, Ukraine
Problem of stabilization of stochastic differential functional equations with impulse Markovian perturbations and constant lag was considered. This system must have property of asymptotic stability by probability and provide in advance given optimality of transient process.
Discretization of Continuum Antagonistic Game on Unit Hypercube and Transformation of Multidimensional Matrix for Solving of the Corresponding Matrix Game
77-86
Vadim V.
Romanuke
Khmelnitskiy National University, Khmelnitskiy
Method for determination of approximate solution for continuum antagonistic games on unit multidimensional cube by means of regular discretization by every dimension was proposed. To this end conditions of correct discretization of game kernel and relations, by which transformation of multidimensional matrix to linear two-dimensional one with conservation of one-one indexing of their elements, were represented. Solution of the corresponding matrix game is tested for consistency; we proposed conditions, which make it possible to evaluate variation of this solution for minimal variation of discretization step.