Pilkevych I. A mathematical model of the dynamic characteristics for the system of body-distributed elements in the special environment

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0509U000442

Applicant for

Specialization

  • 01.05.02 - Математичне моделювання та обчислювальні методи

18-06-2009

Specialized Academic Board

Д 26.185.01

Essay

The research object is a process of the distributed in space object forming, consisting set of elements unconnected mechanically. A purpose is development of mathematical modeling facilities of dynamic characteristics for the objects distributed in space. For research the methods of tensor analysis, theory of probability, mechanics of continua and analytical methods of differential equations decision, are applied. A new decision of the scientifically-applied problem of mathematical modeling of dynamic characteristics for the objects distributed in space is got on the basis of the use of hydrodynamics equations. It allows improving treatment of radio signals mode of space garbage in the conditions at limitations time for information treatment. The practical value of results is creation of method of the optimum radio-location signal processing with a modes with the known spatial correlation based on the use of the models and methods of their decision offered in work. The developed models improve the quality of the radio-location signal processing by optimization of power resources of the supervision space systems when they work with the correlated hindrances. The work results were used in the educational process of Separate subdivision of the European university of finances, information systems, management and business ( Zhytomyr, Ukraine).

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