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Information × Registration Number 0225U003094, (0122U001466) , R & D reports Title Development and realization of methods for complex systems' optimal functioning popup.stage_title Розробка та реалізація методів оптимального функціонування складних систем Head Kiselova Olena М., Доктор фізико-математичних наук Registration Date 20-05-2025 Organization Oles Honchar Dnipro National University popup.description1 Development and substantiation of methods and algorithms for solving two-stage continuous-discrete problems of optimal partitioning-allocation in conditions of uncertainty; development, theoretical substantiation and software implementation of approximate methods and algorithms for solving problems of optimal control of elliptical systems, analysis of the structure of graphs and their impact on obtaining accurate and approximate solutions and the occurrence of anomalous cases; obtaining new theoretical approaches to the analysis of deformable systems with the interaction of external loads. popup.description2 The purpose of the work is to develop and substantiate methods and algorithms for solving two-stage continuous-discrete optimal partition-distribution problems under uncertainty; develop, theoretically substantiate and programmatically implement approximate methods and algorithms for solving optimal control problems of elliptic systems; analyze the structure of graphs and their influence on obtaining exact and approximate solutions and the occurrence of anomalous cases; obtain new theoretical approaches to the analysis of deformable systems with the mutual influence of external loads. Methods have been developed and new algorithms have been theoretically substantiated for numerically solving two-stage continuous-discrete optimal partition-distribution problems both with a given position of the centers of subsets and for finding the optimal coordinates of their placement under conditions of uncertainty, approximation-iterative algorithms for solving the problem of optimal control of an elliptic system with power nonlinearity, mathematical models that generalize classical problems of parallel ordering, mathematical models of the mutual influence of processes inside the body and external factors. Solutions of model problems were obtained for the practical application of the developed algorithms for numerical solution of two-stage continuous-discrete optimal partition-distribution problems both with a given position of the centers of subsets and for finding the optimal coordinates of their placement under conditions of uncertainty, regularization methods and algorithms for solving optimal control problems of elliptic systems were investigated, new cases of anomalous functioning of complex systems were found, and the qualitative features of coupled interaction problems were analyzed. Product Description popup.authors Voloshko Viktor L. Hart Liudmyla L. Zhuravel Serhii V. Kiselova Olena M. Karavaiev Kostiantyn D. Kozakova Nataliia L. Kuzenkov Oleksandr O. Kuzmenko Vasyl I. Mahas Oleksii S. Nakonechna Tetiana V. Padalko Vadym H. Polonska Hanna Ye Prytomanova Olha M. Tonkoshkur Illia S. Trofimov Oleksandr V. Turchyna Valentyna A. Shevelova Alla Ye. popup.nrat_date 2025-05-20 Close