| Автор | Sexton, M. J. |
| Автор | Forbes, L. K. |
| Дата выпуска | 1996 |
| dc.description | This paper investigates the effect of linear control as applied to an exothermic Sal?nikov chemical reaction. It will demonstrate how the control reduces the amplitude of the naturally occurring oscillations in temperature. However, in different parameter regions, this is not the case; that is, the reaction has desirable behaviour without control. A mathematical and numerical analysis of the system will be presented. Steady-state solutions are examined, and the emergence of limit cycles will be shown via the Hopf condition. The conditions under which oscillatory behaviour is not observed will be identified. When oscillatory behaviour is detected, the region to which it is confined will be described. Finally, an example is given of a nonlinear control, which ensures that the system will only portray stable behaviour, and under certain parameter constraints can eliminate oscillations entirely. |
| Формат | application.pdf |
| Издатель | Journals Oxford Ltd |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Название | An exothermic chemical reaction with linear feedback control |
| Тип | research-article |
| DOI | 10.1080/02681119608806225 |
| Electronic ISSN | 1465-3389 |
| Print ISSN | 0268-1110 |
| Журнал | Dynamics and Stability of Systems |
| Том | 11 |
| Первая страница | 219 |
| Последняя страница | 238 |
| Аффилиация | Sexton, M. J.; Department of Mathematics, University of Queensland |
| Аффилиация | Forbes, L. K.; Department of Mathematics, University of Queensland |
| Выпуск | 3 |
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