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Интеллектуальная Система Тематического Исследования НАукометрических данных |
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Sign-Definiteness of Integral Cost on a System of Linear Integral Equations of Volterra Typeтезисы доклада
- Автор: Anastasia Samylovskaya
- Сборник: 17th IFAC Workshop on Control Applications and Optimization (CAO 2018). Book of Abstracts and Program
- Тезисы
- Год издания: 2018
- Место издания: Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences (IMM UB RAS) Yekaterinburg
- Первая страница: 26
- Последняя страница: 26
- Аннотация: We study a question on sign-definiteness of quadratic cost bounded by the system of linear integral equations and depending on the control linearly. The "classical" optimal control theory as in Pontryagin et al. (1962) is not applicable for it. However, applying some special transformations, one can get further conditions that are absent in case of non-degenerated functional. First, we consider a particular case when integral equations system might be reduced to ODE system. Then, we consider general case when such a reduction dows not seem to be possible. In the first case, we reduce original problem to a form which differs from the "classical" one only by parameter which defines endpoint value of a new control, by using Goh transformation (Goh (1966)). In general case, acting in a similar scheme, we also obtain necesasry conditions of the second order. Thus, a new class of problems with reduced cost is investigated and corresponding necessary optimality conditions are obtained.
- Добавил в систему: Самыловский Иван Александрович