Impulsive State Feedback Control of Cheese Whey Fermentation for Single-Cell Protein Production
Joint Authors
Chen, Lansun
Zhang, Shuwen
Wei, Chunjin
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-01
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The work is the analysis of a mathematical model of cheese whey fermentation for single-cell protein production with impulsive state feedback control.
Through the analysis, the sufficient conditions of existence and stability of positive order-1 periodic solution are obtained.
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 concentrate of microorganism and substrate.
For some special cases, it is also shown that the system may exist in order-2 periodic solution.
Furthermore, our findings are confirmed by means of numerical simulations.
American Psychological Association (APA)
Wei, Chunjin& Zhang, Shuwen& Chen, Lansun. 2013. Impulsive State Feedback Control of Cheese Whey Fermentation for Single-Cell Protein Production. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-465277
Modern Language Association (MLA)
Wei, Chunjin…[et al.]. Impulsive State Feedback Control of Cheese Whey Fermentation for Single-Cell Protein Production. Journal of Applied Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-465277
American Medical Association (AMA)
Wei, Chunjin& Zhang, Shuwen& Chen, Lansun. Impulsive State Feedback Control of Cheese Whey Fermentation for Single-Cell Protein Production. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-465277
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-465277