Impulsive state feedback control of the microorganism culture in a turbidostat

被引：12
|
作者：
Zhao, Zhong [1 ,2 ]
Yang, Li [1 ]
Chen, Lansun [2 ]
机构：
[1] Huanghuai Univ, Dept Math, Zhumadian 463000, Henan, Peoples R China
[2] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China
来源：
JOURNAL OF MATHEMATICAL CHEMISTRY | 2010年 / 47卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Turbidostat; Impulsive state feedback control; Period-1; solution; Period-2; MATHEMATICAL-MODEL; CHEMOSTAT; COMPETITION; DYNAMICS;
D O I：
10.1007/s10910-009-9644-z
中图分类号：
O6 [化学];
学科分类号：
0703 ;
摘要：
In this paper, a mathematical model with the impulsive state feedback control is proposed for turbidostat system. The sufficient conditions of existence of order-1 and order-2 periodic solutions are obtained by 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 and the initial concentration of microorganism and substrate. Finally, some discussions and numerical simulations are given.
引用
收藏
页码：1224 / 1239
页数：16
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