کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
767453 | 897180 | 2010 | 8 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Dynamic analysis of a turbidostat model with the feedback control Dynamic analysis of a turbidostat model with the feedback control](/preview/png/767453.png)
In this paper, a mathematical model with impulsive state feedback control is proposed for turbidostat system. The sufficient conditions of existence of positive order one periodic solution are obtained by using the existence criteria of periodic solution of a general planar impulsive autonomous system. It is shown that the system either tends to a stable state or has a periodic solution, which depends on the feedback state, the control parameter of the dilution rate and the initial concentration of microorganism and substrate. By investigating the periodic solution, the period and the initial point of the periodic solution are given. The results show that turbidostat with impulsive state feedback control tends to an order one periodic solution.
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 15, Issue 4, April 2010, Pages 1028–1035