Begell House Inc.
Journal of Automation and Information Sciences
JAI(S)
1064-2315
51
2
2019
Optimization of Processes of Robust Control of Quadcopter for Monitoring of Sea Waters
1-10
Victor L.
Timchenko
Admiral Makarov National University of
Shipbuilding, Nikolaev
Denis O.
Lebedev
Admiral Makarov National University of
Shipbuilding, Nikolaev
The synthesis of robust-optimal control system for the multidimensional nonlinear model of a quadcopter, based on optimization of motion trajectories, is proposed. Taking into account incomplete a priori information about the external environment, a robust control loop is synthesized based on measuring the output coordinates of a physical quadcopter with the additional use of the signals, generated by an optimal (reference) control system of variable structure. The given results of simulation demonstrate minimal values of control errors and energy expenses.
Comparative Analysis of the Results of Modeling of Extreme Population Processes for Fish and Insects
11-21
Andrey Yu.
Perevaryukha
Saint Petersburg Institute for Informatics
and Automation of Russian Academy of
Sciences, Saint Petersburg (Russia)
Situations of sharp short-term changes in population processes can not be calculated by traditional mathematical models — a system for balance equilibrium. Unstable and short time shifts can not be expressed in terms of asymptotic dynamics — closed limit sets of the trajectory, stable cycles or even chaotic attractors. In our studies, it is carried out computational modeling of practically important scenarios of outbreaks and dangerous invasions related to extreme and transient dynamics. Ecosystems, like organisms, can not last for long in such transitional regimes. Outbreaks of the number of harmful insects in the form of individual peaks but not oscillating regimes have a number of features of threshold development. Unexpectedly, the problem of analysis of outbreaks intersects with the problem of modeling depletion of stocks in the fishery of fish. Rapid degradation of population size in the collapse scenarios could not be predicted in time by the methods of calculating the catch quotas (shown on examples of cod of the North Atlantic and anchovy of Peru), because the rates of restoration of reserves were incorrectly estimated. A key aspect in the methodology for constructing hybrid models is the formalization of nonlinear reproduction efficiency, which varies in a threshold manner. In the article it is proved the advantages of the method of purposeful realization of bifurcations in hybrid systems. It has been carried out the comparative analysis of new model scenarios for extreme situations with similar phases during the collapse of fish stocks and insect outbreaks of pests obtained by modifying functional in the basic hybrid system. Five variants of qualitative behavior of hybrid systems that are important for modeling of biosystems were identified.
On the Formalization of Dynamics in Information Processes on the Basis of Inhomogeneous One-Dimensional Diffusion Models
22-29
Evgeniy V.
Ivokhin
Kiev National Taras Shevchenko
University, Kiev
Larisa T.
Adzhubey
Kiev National Taras Shevchenko University, Kiev
Elena V.
Gavrylenko
National Technical University of Ukraine "Igor Sikorsky Kiev Polytechnic Institute", Kiev
The approach to constructing mathematical models of the dynamics of extending information processes to a certain target group of population is considered. The basis of formalization is the use of heterogeneous models of the process of diffusion (penetration) of information into networks. The dynamics of information flows based on models with inhomogeneities of various types is simulated and investigated. Examples of the use of this approach are given; the results of numerical experiments are analyzed. The comparative analysis with model data on the spread of advertising information allows one in a number of cases to assert the adequacy of the results and parameters obtained of real processes of changing the perception of information within specified groups of the population
Methods for Calculating and Coding the Parameters of Autoregressive Speech Model when Developing the Vocoder Based on Fixed Point Signal Process
30-40
Vasiliy Yu.
Semenov
Scientific and Production Enterprise "DELTA-SPE", Kiev
Consideration is given to calculating and coding the parameters of vocoders operating at speed of 1200 and 2400 bps. The efficient methods for calculating and coding the parameters of the autoregressive speech signal model such as line spectral frequencies and the pitch period are proposed. The works on computation optimization allowed a vocoder to be implemented in real time on the signal processor ADSP-2191.
Modified Architecture of Lossless Image Compression Based on FPGA for On-Board Devices with Linear CCD
41-49
Bogdan P.
Rusyn
G.V. Karpenko Physico-Mechanical Institute of National Academy of Sciences of Ukraine, Lvov
Alexey A.
Lutsyk
G.V. Karpenko Physico-Mechanical Institute of National Academy of Sciences of Ukraine, Lvov
Rostislav Ya.
Kosarevych
G.V. Karpenko Physico-Mechanical Institute of National Academy of Sciences of Ukraine, Lvov
A detailed review of methods and technologies for image compression in remote sensing problems is given. A modified lossless image compression technology for on-board systems with a single scanning linear CCD is proposed. The lossless compression algorithm is based on modified LOCO-1. The work demonstrates the efficiency of compression which in some cases can achieve 2-5 times. The properties of the proposed compression algorithm are investigated in the case of previous filtering of linear CCD data from additive noise. The possibility of implementing the proposed technology on the FPGA-architecture for working in real-time systems is shown.
Optimization of Linear Dynamical Systems by Functional Analysis Methods
50-57
Alexander A.
Stenin
National Technical University of Ukraine "Igor Sikorsky Kiev Polytechnic Institute", Kiev
Victor P.
Pasko
National Technical University of Ukraine "Igor Sikorsky Kiev Polytechnic Institute", Kiev
Irina G.
Drozdovich
Institute of Telecommunication and Global Information Space of National Academy of Sciences of Ukraine, Kiev
Practical tools of functional analysis methods were suggested for solving typical optimization problems of linear dynamical systems. Implementation of the suggested methods is shown by the examples, where it was shown that in certain cases analytical solving of optimization problems without the use of numerical procedures and supplementary simplification conditions is possible
Approach to the Study of Global Asymptotic Stability of Lattice Differential Equations with Delay for Modeling of Immunosensors
58-71
Vasiliy P.
Martsenyuk
University of Bielsko-Biala, Poland
Andrey S.
Sverstiuk
I. Horbachevsky Ternopol State Medical University, Ternopol
Igor Ye.
Andrushchak
Lutsk Technical University, Lutsk
Consideration is given to the model of immunosensor based on a system of lattice differential equations with delay. The main result of the work is the conditions for the global asymptotic stability of the endemic state. For this purpose we have used Lyapunov functionals method which combines a general approach to constructing Lyapunov functionals for predator-prey models using lattice differential equations. Calculation of basic reproduction numbers is based on the next generation matrix method. The time delay estimate which provides the global asymptotic stability is presented.
On Determination of the Coefficient of Derivative in the Equation of a String Oscillations with Discontinuity
72-80
Zumrud Rasim kyzy
Safarova
Nakhichevan State University, Nakhichevan (Azerbaijan)
The problem of determination of the coefficient for the right first order derivative in the equation of string oscillations is considered. The stated problem is reduced to the problem of optimal control. Theorem of existence of an optimal pair in the new problem, the Frechet differentiability of the constructed functional are proved, the necessary condition of optimality in the form of variational inequality is derived.