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Indexed by:期刊论文

Date of Publication:2012-03-01

Journal:INTERNATIONAL JOURNAL OF BIOMATHEMATICS

Included Journals:SCIE

Volume:5

Issue:2

ISSN No.:1793-5245

Key Words:Nonlinear dynamical system; equilibrium points; asymptotical stability; impulsive control

Abstract:This work presents the nonlinear dynamical system of continuous fermentation from glycerol to 1,3-propanediol. The impulsive control scheme of continuous culture is introduced. By employing impulsive control, Lyapunov's method and comparison technique, sufficient conditions are established for the asymptotical stability and synchronization of the dynamical system of continuous fermentation. The upper bound of the impulse interval is also estimated. An example will illustrate the effectiveness of the results in Sec. 4.