Time-varying control laws with guaranteed persistence for a class of multi-species chemostat models with different removal rates

Author

Yuan, Yanyan ; Yuan, Sanling ; Zhai, Yuanqing

Author_Institution

Coll. of Sci., Univ. of Shanghai for Sci. & Technol., Shanghai, China

fYear

2011

fDate

26-28 July 2011

Firstpage

6147

Lastpage

6150

Abstract

In this paper, a class of chemostat models with N species compete for a limited nutrient with different removal rates is investigated. First, three assumptions are given to guarantee the existence of stabilizable periodic trajectories. Then a time-varying feedback for dilution rate and input substrate is designed, so that a positive trajectory of the chemostat model is globally asymptotically stable.

Keywords

asymptotic stability; bioreactors; feedback; periodic control; position control; time-varying systems; different removal rates; dilution rate; globally asymptotically stable model; guaranteed persistence; input substrate; limited nutrient; multispecies chemostat models; positive trajectory; stabilizable periodic trajectory; time-varying control laws; time-varying feedback; Lyapunov methods; Presses; Silicon compounds; Special issues and sections; Substrates; Systems biology; Trajectory; Lyapunov function; chemostat model; different removal rates; periodic trajectory; stabizability;

fLanguage

English

Publisher

ieee

Conference_Titel

Multimedia Technology (ICMT), 2011 International Conference on

Conference_Location

Hangzhou

Print_ISBN

978-1-61284-771-9

Type

conf

DOI

10.1109/ICMT.2011.6002367

Filename

6002367