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论文类型：期刊论文
发表时间：2012-03-01
发表刊物：INTERNATIONAL JOURNAL OF BIOMATHEMATICS
收录刊物：SCIE
卷号：5
期号：2
ISSN号：1793-5245
关键字：Nonlinear dynamical system; equilibrium points; asymptotical stability; impulsive control
摘要：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.