Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
46
6
2014
Mathematical Models with a Control Function for Investigation of Fractional-differential Dynamics of Geomigration Processes
1-11
Vladimir M.
Bulavatskiy
V. M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine
Iurii G.
Kryvonos
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine
The fractional-differential mathematical models with a function of the control for investigation of dynamics of some locally − nonequilibrium in time nonisothermal geomigration processes are constructed. The models are based on concepts of generalized Caputo and Hilfer derivatives, as derivatives of the fractional order from a function on other function. Within the framework of these models the analytical solutions of two boundary value problems of geomigration are obtained.
To Stability Assessment for a Class of Dynamical Systems
12-19
Gennadiy A.
Tsybulkin
E.O. Paton Electric Welding Institute of National Academy of Sciences of Ukraine, Kiev
The problem of obtaining in algebraic form of simple sufficient conditions of stability of linear dynamical system of special type is under consideration. Criteria, which make it possible to estimate immediately stability margin of a system in the space of varied parameter are obtained. Numerical examples, which show efficiency of the suggested criteria, are adduced.
Formation of Correction Signals of Systematic Codes Distortions Based on Quasisyndromes in the Algorithmic Recurrent Decode Environment in the Rate of Channel Time: the Case of Multiple Errors
20-36
Anatoliy V.
Ushakov
St. Petersburg State University of Information Technologies, Mechanics and Optics Russia
Elena S.
Likholetova
Institute of Petersburg B.P. Konstantinov, Nuclear Physics Institute of National Research Center "Kurchatov Institute" (Russia)
The problem of forming the correction signals of systematic codes distortion using errors quasisyndromesin the algorithmic recurrent decoding environment the case of multiple errors correction in the rate of channel time when is not greater than the value three. The article positions are illustrated by an example.
Control of Heat Supply System with Structural Changeable Hardware
37-48
Oxana B.
Maksimova
Odessa National Academy of Food Technologies
Valentin O.
Davydov
Odessa National Polytechnic University
Sergey V.
Babych
Public Corporation "Odessaoblenergo"
Method for solving the problem of control of object structure by the example of heat supply system is adduced. Control is done on the basis of multicriteria optimization, which takes into account such components as reliability and efficiency of used hardware as well as costs of energy resources. For determination of the best solution we used the genetic algorithm. Results of numerical modeling are adduced.
Formalization of an Optimal Control Problem of Large Systems in Critical Modes
49-57
Anna V.
Rudakova
Kherson National Technical University
The comparative analysis of the effectiveness of different approaches for solving the problem of finding the optimal control in distributed systems is carried out. The boundaries of the appropriateness of using methods of synthesis of optimal control on the basis of continuous or discrete description of a large system under the time deficiency are found.
Generalized Optimal Control for Systems Described by Linear Integro-Differential Equations with Nonnegative Definite Integral Operators
58-67
Andrey V.
Anikushyn
Kiev National Taras Shevchenko University
A priori inequalities for linear integro-differential equations with nonnegative definite integral operators are proved. Theorem of existence and uniqueness of the generalized solution and continuous dependence of solution on the right-hand part of equations were formulated. We prove also the existence of the optimal control of systems, which are described by the mentioned equations.
Reduction of Known-Plaintext Attack on a Locally Commutative Cipher to Algebraic Problems in Classical and Quantum Computation Models
68-76
Andrey V.
Fesenko
National Technical University of Ukraine "Kiev Polytechnical Institute", Kiev, Ukraine
The structural properties of the algebraic model of endomorphic locally commutative cipher are investigated. It is shown that for a known-plaintext attack on this cipher it is sufficient to consider the generated cipher with a simple algebraic structure. It is shown the reduction of this attack to the algebraic problems: hidden action on the torsors over an Abelian group and the hidden action of an Abelian group.
Checking the Quality of Approximation of the Time Series by the Fractal Brownian Motion
77-84
Valeriya V.
Bondarenko
Training Scientific Complex " Institute for Applied Systems Analysis of National Technical University of Ukraine "Kiev Polytechnic Institute"
The approximation algorithm for checking the approximation quality of temporary data is considered. The approximation presented by the author transforms the original time series to fractal Brownian motion (fBm). The statistical hypothesis has been checked: the transformed data form the increments fBm. Calculations performed for real data confirm the mentioned hypothesis and the algorithm efficiency.