| Автор | Kazemi, Mohammad A. |
| Дата выпуска | 1995 |
| dc.description | AbstractIn this paper a class of optimal control problems with distributed parameters is considered. The governing equations are nonlinear first order partial differential equations that arise in the study of heterogeneous reactors and control of chemical processes. The main focus of the present paper is the mathematical theory underlying the algorithm. A conditional gradient method is used to devise an algorithm for solving such optimal control problems. A formula for the Fréchet derivative of the objective function is obtained, and its properties are studied. A necessary condition for optimality in terms of the Fréchet derivative is presented, and then it is shown that any accumulation point of the sequence of admissible controls generated by the algorithm satisfies this necessary condition for optimality. |
| Формат | application.pdf |
| Издатель | Cambridge University Press |
| Копирайт | Copyright © Australian Mathematical Society 1995 |
| Название | A gradient technique for an optimal control problem governed by a system of nonlinear first order partial differential equations |
| Тип | research-article |
| DOI | 10.1017/S0334270000010432 |
| Electronic ISSN | 1446-8735 |
| Print ISSN | 0334-2700 |
| Журнал | The Journal of the Australian Mathematical Society. Series B. Applied Mathematics |
| Том | 36 |
| Первая страница | 261 |
| Последняя страница | 273 |
| Аффилиация | Kazemi Mohammad A.; University of North Carolina at Charlotte |
| Выпуск | 3 |
