Method for solving a dynamic optimal control problem with state constraints

Khoroshilova, E.V.; Antipin, A.S.

Авторы: Khoroshilova E.V., Antipin A.S.
Сборник: Proceedings of the 7th International Conference on Control and Optimization with Industrial Applications (COIA 2020)
Том: 1
Год издания: 2020
Место издания: Baku State University Baku, Azerbaijan
Первая страница: 233
Последняя страница: 235
Аннотация: Dynamic problems of terminal control under state constraints are among the most complex in optimal control theory. For quite a long time, from the moment of their occurrence and thefirst attempts at practical implementation in technical fields, these problems have been studied by experts from different angles. Much attention is traditionally paid to the development of computational methods for solving this class of problems in a wide area of applications. At the same time, directions are being developed related to further generalizations and the development of the Pontryagin maximum principle, as well as with the extension of the classes of problem statements. The questions of the existence, stability, optimality of solutions are studied in [13] and others. In our opinion, one of the least represented areas in optimal control is the development of solving methods theory with proof of methods convergence to solution. We are engaged in this particular area. In [1–6] and earlier, we developed an evidence-based theory and methods for solving terminal control problems that are implemented in this paper. We bring to the attention the original method and prove its convergence to solving the problem in all components of the solution, which is the main result of the study.Indexed in the Scopus database.
Добавил в систему: Хорошилова Елена Владимировна

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Method for solving a dynamic optimal control problem with state constraintsстатья Исследовательская статья Электронная публикация

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