ПРО КЕРУВАННЯ ІМПУЛЬСНИМИ СИСТЕМАМИ В КОНФЛІКТНІЙ СИТУАЦІЇ

• Дата: 2025
• Автори: Nakonechnyi , A.G., Kapustian, E.A., Chikrii , A.A.
• Формат: Стаття
• Мова: English
• Опубліковано: V.M. Glushkov Institute of Cybernetics of NAS of Ukraine 2025
• Теми: імпульсні системи; конфліктно-керовані процеси; многозначні відображення; метод розв’язуючих функцій; умова Понтрягіна; вимірний вибір
• Онлайн доступ: https://jais.net.ua/index.php/files/article/view/680
• Назва журналу: Problems of Control and Informatics

The sufficient conditions are obtained for hitting of conflict-controlled process, given by impulse differential system with prescribed cylindrical terminal set. The conditions are realized at different information content in the class of quasi and stroboscopic strategies based on ideas of the method of resolving functions using the inverse Minkowski functionals. Many-valued mappings and their selections represent mathematical apparatus of investigation. Specific feature of the problem which the paper deals with is that generally speaking the classic Pontryagin condition does not hold. Here special shifting functions play the role of Pontryagin selection and instead of resolving functions the upper and the lower resolving functions of two kinds are applied that allow the convergence process to be realized in a finite time. Above mentioned innovation allows essential extention of the class of game problems which are susceptible to analysis on the basis of the resolving functions ideology under the main method constructions. In particular it becomes possible to encompass the processes with discontinuous trajectories functioning in condition of conflict and uncertainty.