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Gradient flow for solving ter- minal control problems with phase constraintsтезисы доклада
- Авторы: Antipin Anatoly, Khoroshilova Elena
- Сборник: XI International Conference Optimization and Applications (OPTIMA-2020) dedicated to the 70th anniversary of Academician Milojica Jacimovic. BOOK OF ABSTRACTS
- Тезисы
- Год издания: 2020
- Место издания: Dorodnicyn Computing Centre of FRC "Computer Science and Control" of Russian A ademy of Science Moscow
- Первая страница: 22
- Последняя страница: 22
- Аннотация: A new approach to solving terminal control problems with phase constraints, based on saddle sufficient optimality conditions, is considered.The basis of the approach is Lagrangian formalism and duality theory. We study linear controlled dynamics in the presence of phase constraints. The cross section of phase constraints at certain points in time leads tothe appearance of new intermediate finite-dimensional convex programming problems. In fact, the optimal control problem, defined over the entire time interval, is split into a number of independent intermediate subproblems, each of which is defined in its own sub-segment. Combining the solutions of these subproblems together, we can obtain solutions to the original problem on the entire time interval. To this end, a parallel gradient flow is launched to solve all intermediate problems at the sametime. The convergence of computing technology to the solution of the optimal control problem in all variables is proved.
- Добавил в систему: Хорошилова Елена Владимировна