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Information × Registration Number 0225U003551, (0122U200468) , R & D reports Title Technologies, means of mathematical modeling, optimization and system analysis of coverage problems in space monitoring systems popup.stage_title Розробка архітектури інформаційно-аналітичної системи розв’язання задач покриття Head Kartashov Oleksii V., Кандидат фізико-математичних наукYakovlev Serhii V., д.ф.-м.н. Registration Date 14-07-2025 Organization National Aerospace University "Kharkiv Aviation Institute" popup.description1 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 popup.description2   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 popup.authors 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. popup.nrat_date 2025-07-14 Close