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微生物批式流加发酵脉冲系统的参数辨识及稳定性
引用本文:申丽娟,冯恩民,陈宝凤,修志龙. 微生物批式流加发酵脉冲系统的参数辨识及稳定性[J]. 系统科学与数学, 2008, 28(7): 802-810
作者姓名:申丽娟  冯恩民  陈宝凤  修志龙
作者单位:1. 洛阳师范学院数学科学学院,洛阳,471022
2. 大连理工大学应用数学系,大连,116024
3. 安阳工学院理学部,安阳,455002
4. 大连理工大学环境与生命学院,大连,116012
基金项目:国家自然科学基金,国家科技攻关计划
摘    要:针对微生物批式流加发酵生产1,3-丙二醇的非线性脉冲系统,建立敏感参数的优化辨识模型(PDP),论述了模型解的性质、解与参量的关系以及辨识问题最优解的存在性.通过构造算法求得辨识问题最优解,并讨论了新参数下脉冲系统解的稳定性.

关 键 词:稳定性  参数辨识  批式流加发酵  非线性脉冲系统
收稿时间:2003-12-12
修稿时间:2006-12-30

Parameters Identification and Stability of the Impulsive System of Microorganism Fermentation
SHEN Lijuan,FENG Enmin,CHEN Baofeng,XIU Zhilong. Parameters Identification and Stability of the Impulsive System of Microorganism Fermentation[J]. Journal of Systems Science and Mathematical Sciences, 2008, 28(7): 802-810
Authors:SHEN Lijuan  FENG Enmin  CHEN Baofeng  XIU Zhilong
Affiliation:(1)Mathematical Science College, Luoyang Normal College, Luoyang 471022; (2)Department of Applied Mathematics, Dalian University of Technology, Dalian 116024; (3)Faculty of Science, Anyang Institute of Technology, Anyang 455002; (4)School of Environmental, Biological Science and Technology, Dalian University of Technology, Dalian 116012.
Abstract:The nonlinear impulsive system of microorganism fed-batch culture is presented in this note. Then the identification model (PDP) is given for some sensitive parameters. The relationship between the parameters and the solution of the impulsive system is discussed, and the identifiability of the PDP is deduced. At last the optimal solution of PDP is derived by using the constructive algorithmand the stability of impulsive system for fed-batch fermentation is considered.
Keywords:Stability  parameter identification  fed-batch culture  the nonlinear impulsive system.
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