Dynamic analysis of a turbidostat model with the feedback control

Communications in Nonlinear Science and Numerical Simulation

Volumn 15, Issue 4, 2010, Pages 1028-1035

  Zhao, Zhong ^a,b   Wang, Tieying ^a,c   Chen, Lansun ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^b HUANGHUAI UNIVERSITY   (China)

^c DALIAN NATIONALITIES UNIVERSITY   (China)

Author keywords

Impulsive state feedback control; Inhibition of the microorganism concentration; Order one periodic solution; Turbidostat

Indexed keywords

FEEDBACK CONTROL; STATE FEEDBACK;

A-STABLE; CONDITION; DYNAMICS ANALYSIS; IMPULSIVE STATE FEEDBACK CONTROL; INHIBITION OF THE MICROORGANISM CONCENTRATION; ORDER ONE PERIODIC SOLUTION; PERIODIC SOLUTION; STABLE STATE; STATE FEEDBACK CONTROL; TURBIDOSTAT;

MICROORGANISMS;

EID: 70350373565     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2009.05.016     Document Type: Article

References (11)

1. Li B.T. Competition in a turbidostat for an inhibitory nutrient. J Biol Dyn 2 (2008) 208C220
2. Davey H.M., Christopher Davey L., Woodward A.M., Edmonds A.N., Lee A.W., Kell D., et al. stochastic and chaotic growth rate fluctuations in permittistatically controlled yeast cultures. Biosystems 39 (1998) 43-46
3. Flegr J. Two distinction types of natural selection in turbidostat-like ecosystems. J Theor Biol 188 (1997) 121-126
4. De L.P., and Smith H. Feedback control for chemostat: some remarks. Can J Appl Math Biol 46 (2003) 8-70
5. Tang S.Y., and Chen L.S. Modelling and analysis of integrated pest management strategy. Discrete Contin Dyn Syst B 4 (2004) 759-768
6. Jiang G.R., Lu Q.S., and Qian L.N. Chaos and its control in an impulsive differential system. Chaos Solut Fract 34 (2007) 1135-1147
7. Robert Smith. Impulsive differential equations with applications to self-cycling fermentation. Thesis for the degree doctor of Philosophy, McMaster University; 2001.
8. Jiang G.R., Lu Q.S., and Qian L.N. Complex dynamics of a holling type II prey-predator system with state feedback control. Chaos Solit Fract 31 2 (2007) 48-461
9. Zeng G.Z., Chen L.S., and Sun L.H. Existence of periodic solution of order one of planar impulsive autonomous system. J Comp Appl Math 186 (2006) 466-481
10. Lakshmikantham V., Bainov D.D., and Simeonov P. Theory of impulsive differential equations (1989), World Scientific, Singapore
11. Simeonov P.E., and Bainov D.D. Orbital stability of periodic solutions of autonomous systems with impulse effect. Int J Syst Sci 19 (1988) 2562-2585