Registration Number
0225U003551,
(0122U200468)
, R & D reports
Title
Technologies, means of mathematical modeling, optimization and system analysis of coverage problems in space monitoring systems
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Розробка архітектури інформаційно-аналітичної системи розв’язання задач покриття
Head
Kartashov Oleksii V., Кандидат фізико-математичних наук
Yakovlev Serhii V., д.ф.-м.н.
Registration Date
14-07-2025
Organization
National Aerospace University "Kharkiv Aviation Institute"
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The goal of the project is to obtain fundamental results in the direction of the modern theory of coverage, taking into account the arbitrary spatial shape of objects, the development of the latest technologies, means of mathematical modeling, optimization and system analysis of both the problems of the coverage itself and the applied problems of monitoring the space of various purposes
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As part of the project, technologies, constructive means of mathematical and computer modeling of the tasks of covering given
areas with a system of spatial objects of arbitrary shape are proposed. A systematic analysis of optimal coverage problems was
carried out, their main classes were identified depending on optimality criteria, the shape of the coverage area and covering
objects, their metric parameters and placement parameters. The formalization of problems is based on the methodology of
construction of configuration spaces of geometric objects, developed by the authors of the project, taking into account the
properties of a special class of functions that describe the coverage conditions. Corresponding theoretical results can be used in
the design and maintenance of space monitoring systems by displaying information describing physical processes and objects of
observation in geometric form. New methods of structuring, analysis and synthesis of space monitoring systems have been
developed, related to the coverage of the observation area with control zones generated by the corresponding devices. The
obtained results can be used in environmental monitoring systems and related fields, primarily in the socio-economic and
military spheres.
Product Description
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Bolotova Tetiana V.
Korobchynskyi Kyryl P.
Podzeha Dmytro H.
Skob Yurii O.
Trofymova Iryna O.
Fesenko Herman V.
Kharchenko V'iacheslav S.
Cherkashyna Svitlana O.
Yarova Olha V.
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2025-07-14
