Transformations of Optimal Control Problems
| Autor: | A. Tsirlin |
|---|---|
| Jazyk: | English<br />Russian |
| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Моделирование и анализ информационных систем, Vol 20, Iss 3, Pp 130-152 (2013) |
| Druh dokumentu: | article |
| ISSN: | 1818-1015 2313-5417 |
| DOI: | 10.18255/1818-1015-2013-3-130-152 |
| Popis: | The paper considers such transformations of variational and optimal control problems (by a change of phase variables) that help to get the solution. Among these techniques are methods of the dimensionality reduction by a transition from an original argument to a new one, by a detection of a variable staying unchanged through equations of the system (invariant), by extension of the original problem and a transition from it to a simpler problem that gives an estimate solution of the original one. In some cases we can get a solution that is simplified by a transition from a set of conditions in the form of differential equations to the only integral condition. This relates to equations with a retarded argument. The paper gives examples of application of these techniques to real engineering problems such as an optimal control of biosynthesis, cooling of crystal systems by a laser radiation, etc. |
| Databáze: | Directory of Open Access Journals |
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