Open Access
Translator Disclaimer
2013 Impulsive State Feedback Control of Cheese Whey Fermentation for Single-Cell Protein Production
Chunjin Wei, Shuwen Zhang, Lansun Chen
J. Appl. Math. 2013: 1-10 (2013). DOI: 10.1155/2013/354095

Abstract

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.

Citation

Download Citation

Chunjin Wei. Shuwen Zhang. Lansun Chen. "Impulsive State Feedback Control of Cheese Whey Fermentation for Single-Cell Protein Production." J. Appl. Math. 2013 1 - 10, 2013. https://doi.org/10.1155/2013/354095

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950631
MathSciNet: MR3090611
Digital Object Identifier: 10.1155/2013/354095

Rights: Copyright © 2013 Hindawi

JOURNAL ARTICLE
10 PAGES


SHARE
Vol.2013 • 2013
Back to Top