Registration Number
0225U004468,
(0121U114242)
, R & D reports
Title
Research and optimization of mathematical models that describe deterministic and stochastic processes in technical systems and structures
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Оптимізація математичних моделей детермінованих та стохастичних технічних процесів
Head
Nataliia V. Bondarenko, к.ф.-м.н.
Registration Date
08-12-2025
Organization
Kyiv National University of Construction and Architecture
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Research and analysis of possibilities of optimization of solutions of mathematical models of deterministic and stochastic dynamic processes in technical systems and constructions.
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Object of research: mathematical models that describe deterministic and stochastic processes of functioning of technical systems and structures. Such systems are characterized by complex dynamic relationships, multiparametricity and the presence of uncertainties in external and internal influences.
Subject of research: methods and algorithms for describing, analyzing and optimizing deterministic and stochastic processes that reflect the behavior of technical systems and structures in various operating conditions. Special attention is paid to identifying patterns of influence of random factors on dynamic characteristics of systems, their stability and reliability. The principles of constructing generalized optimization approaches that can ensure increased efficiency of functioning of complex technical objects are also investigated.
The purpose of the work: to improve the theoretical and methodological basis and practically applicable optimization approaches to modeling, analysis and control of deterministic and stochastic processes in technical systems which will ensure the prediction of their dynamics, quantitative assessment of risks and the possibility of optimal design and control under conditions of uncertainty.
Research methods: theoretical studies of the characteristics and properties of mathematical models that describe deterministic and stochastic processes in technical systems and structures, as well as the development of approaches to their optimization in order to increase the accuracy of prediction and the effectiveness of application in engineering practice. Analytical methods of studying mathematical models, methods of stochastic modeling, numerical methods for solving systems of differential equations, as well as optimization methods, in particular variational approaches and methods of stochastic optimization, are used. To verify the reliability of the results obtained, computer modeling and verification of of models using software tools are used.
Product Description
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Liudmyla V. Sokolova
Liudmyla М. Blazhko
Kyrychenko Anatolij Anatolijovych
Oleksii V. Zabarylo
Valentyna V. Otrashevska
Yurii P. Filonov
Zoia I. Naholkina
Vasiliy D. Pechuk
Anna Krasnieieva
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2025-12-08
