Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
50
1
2018
Minimization of Impact of Bounded Perturbations on Nonlinear Discrete Systems
1-19
10.1615/JAutomatInfScien.v50.i1.10
Vsevolod M.
Kuntsevich
Institute of Space Research of National Academy of Sciences of Ukraine and State Space Agency of Ukraine, Kiev, Ukraine
bounded perturbations impact
nonlinear discrete systems
minimization problem
multivalued mapping
The paper considers nonlinear dynamical systems with linear/nonlinear bilateral constraints and/or norm bounds, and it presents the solution to the problem of minimization of bounded perturbations impact on these systems. As the measure of perturbations impact on dynamical systems the paper takes the radius of their interval invariant sets — the analogs of magnitude of variance in case of probabilistic nature of perturbations. Consideration is given only to cases where the given estimates for nonlinear functions form multivalued mappings. The illustrative example is also presented.
Investigating Dynamics of One Weakly Nonlinear System with Delay Argument
20-38
10.1615/JAutomatInfScien.v50.i1.20
Denis Ya.
Khusainov
Kiev National Taras Shevchenko University, Kiev
Jozef
Diblik
University of Technology, CEITEC, Brno (Czech Republic)
Jaromir
Bashtinec
University of Technology, CEITEC, Brno (Czech Republic)
Andrey V.
Shatyrko
Kiev National Taras Shevchenko University, Ukraine
weakly nonlinear system
neural network dynamics
system of differential equations with a time-delay argument
Lyapunov direct method
A mathematical model of neural network dynamics represented by a system of differential equations with time-delay argument and an asymptotically stable linear part is considered. Using Lyapunov direct method sufficient conditions for asymptotic stability are obtained and exponential estimates of solutions decay are constructed. The results are formulated in the form of matrix algebraic inequalities (using LMI).
Geometric and Variational Model Order Reduction Methods. Comparative Analysis
39-53
10.1615/JAutomatInfScien.v50.i1.30
Vyacheslav F.
Gubarev
Institute of Space Research of National Academy of Sciences of Ukraine and State Space Agency of Ukraine, Kiev, Ukraine
Vladislav V.
Fatenko
National Technical University of Ukraine "Igor Sikorsky Kiev Polytechnic Institute", Kiev
numerical methods
reduction problem
complex system of large-scale dimension
Numerical methods for solving model order reduction problem of complex system of large-scale dimension based on geometric and variational approaches are considered and studied. Methods comparative analysis is performed and recommendations for their practical applications are made.
Motion Control Under Conflict Condition
54-75
10.1615/JAutomatInfScien.v50.i1.40
Alexander G.
Nakonechnyi
Kiev National Taras Shevchenko University, Kiev
Sergey O.
Mashchenko
Kiev National Taras Shevchenko University
Victoriya K.
Chikrii
Kiev National Taras Shevchenko University, Kiev
motion control
Pontryagin first direct method
conflict-controlled approach process
method of resolving functions
The quasilinear conflict-controlled approach processes are studied based on Pontryagin first direct method and the method of resolving functions. Using the upper and lower resolving functions the sufficient conditions for the game termination in a finite time are established for various schemes of the method. The example, in which the control of explicit form is found, is illustrated.
Differential Mathematical Models of Computer Research of the Abnormal and Transient Modes of Power Supply Systems of Railways
76-84
10.1615/JAutomatInfScien.v50.i1.50
Alexander I.
Stasiuk
State Economy and Technology University
of Transport, Kiev
Lidiya L.
Goncharova
State Economy and Technology University
of Transport, Kiev
power supply systems of railways
differential mathematical models
dynamics of transients and abnormal modes
spectral analysis
spectral density
correlation functions
It is shown that a key direction in the field of increasing the efficiency of electricity networks is development of methods for computer investigation of dynamics of transients and abnormal modes of power systems. Differential mathematical models of studies of the abnormal and emergency modes of power systems are proposed. The discussed methods allow one to perform the spectral analysis of the abnormal and emergency modes of power systems in the field of differential images. Methods for the analysis of individual harmonic components of dynamic processes, calculation of spectral density and correlation functions are given.
International Scientific Conference "Modern Informatics: Problems, Achievements and Prospects of Development"
85
10.1615/JAutomatInfScien.v50.i1.60