Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
45
5
2013
Solutions of the Unilateral Quadratic Matrix Equation in the Case of Complex Eigenvalues of the Corresponding Matrix Pencil
1-12
Vladimir B.
Larin
S.P. Timoshenko Institute of Mechanics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
The algorithm for constructing solutions of the unilateral quadratic matrix equation in the case of complex eigenvalues of the corresponding matrix pencil is proposed. Relations are given which can be regarded as analogues of the corresponding equalities for the scalar quadratic equation, which are content of Vieta theorem. As an application, the problem of introducing clarity into the model parameters, using the experimentally obtained eigenvalues of this system, is considered.
Catastrophe Theory and Risk Control: Conceptial Framework
13-24
Vladimir E.
Nabivach
Institute of Space Research of National Academy of Sciences of Ukraine and State Space Agency of Ukraine, Kiev
We presented the problem of risk control interpretation from the standpoint of applied catastrophe theory. The potential of catastrophe theory methods and techniques to study the risk control problems are considered. The horizon of forecast concept connection with the problem of risk control is shown. The forecast horizon concepts of required and significant accuracy are introduced.
Complexity of Pursuit Optimization Problems on a Plane
25-37
Sergey V.
Pashko
Institute of Software Systems of National Academy of Sciences of Ukraine, Kiev
The differential pursuit-evasion games on a plane with a group of pursuers created for every evader are considered. The theorems about NP-completeness and NP-hardness of pursuit optimization problems are proved.
Evaluation of the Hazard of Failure of the Redundant System by Fast Simulation Methods
38-51
Nikolay Yu.
Kuznetsov
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
Alla A.
Shumskaya
Institute of Physics and Technology of National Technical University of Ukraine "Kiev Polytechnical Institute"
A redundant system consisting of repairable, unrepairable and periodically tested components is considered. None of distributions involved is supposed to be of exponential type. A method of weighted simulation enabling one to construct unbiased estimates for the hazard of failure of the system simultaneously at several points is proposed. High accuracy of estimates is demonstrated with the example of power supply system.
Robust Stabilization and Evaluation of the Performance Index of Nonlinear Discrete Control Systems
52-63
Alexey G.
Mazko
Institute of Mathematics of National Academy of Sciences of Ukraine, Kiev
Lyudmila V.
Bogdanovich
Institute of Mathematics of National Academy of Sciences of Ukraine, Kiev
New methods for analysis of robust stability and optimization of discrete output feedback control systems are developed. Sufficient stability conditions of the zero state are formulated with the joint quadratic Lyapunov function for a family of nonlinear systems with uncertain coefficient matrices and a measured output feedback. The solution of a general problem of robust stabilization and evaluation of the quadratic performance criterion for a family of nonlinear discrete systems are proposed. The results application is reduced to solving the system of linear matrix inequalities.
Analysis and Evaluation of Alternatives
64-74
Albert N.
Voronin
National Aviation University, Kiev, Ukraine
It is shown, that under vector approach a decision making problem through the alternatives properties decomposition is presented by a hierarchical system of criteria. At the bottom level of hierarchy, the estimation of the alternative by separate properties is carried out by means of a criteria vector and at the top level by means of the mechanism of the composition the estimation of the alternative as a whole is obtained. The problem is solved by the method of nested scalar convolutions. The methodology of the problem solution is based on N. Bohr complementarity principle and K. GÃ¶del theorem incompleteness.
Detection of Hidden Messages Embedded in Audio Signals by Hide4PGP
75-81
Natalya V.
Koshkina
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
Audio steganalysis method based on "negative resonance phenomenon" is proposed. Differences between the first and higher order statistics before and after "control stego transformation" for the test signal and its linear prediction error are used to distinguish empty and stego signals. The method includes the SVM binary classifier. Test results show the effectiveness of the method of detecting Hide4PGP stego signals when their payloads are more than 20 %.