STABILITY ANALYSIS OF THE NONLINEAR IMPULSIVE SYSTEM IN MICROBIAL FED-BATCH FERMENTATION

被引:0
|
作者
Gao, Caixia [1 ]
Feng, Enmin [2 ]
机构
[1] Inner Mongolia Univ, Coll Sci, Dept Math, Hohhot 010021, Inner Mongolia, Peoples R China
[2] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Liaoning, Peoples R China
关键词
Stability; Lyapunov function; nonlinear impulsive system; CLOSTRIDIUM-BUTYRICUM; KLEBSIELLA-PNEUMONIAE; GLYCEROL; 1,3-PROPANEDIOL; CULTURE;
D O I
10.1216/RMJ-2008-38-5-1377
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this study, the nonlinear impulsive dynamical system of fed-batch fermentation is investigated in the process of bio-dissimilation of glycerol to 1,3-propanediol. Several stability criteria are established by employing the method of Lyapunov functions. The ranges of parameters' value in the system are obtained according to the actual microbial fermentation.
引用
收藏
页码:1377 / 1384
页数:8
相关论文
共 50 条
  • [21] Nonlinear impulsive system of fed-batch culture in fermentative production and its properties
    Gao, CX
    Li, KZ
    Feng, EM
    Xiu, ZL
    CHAOS SOLITONS & FRACTALS, 2006, 28 (01) : 271 - 277
  • [22] Modelling and Regularity of Nonlinear Impulsive Switching Dynamical System in Fed-Batch Culture
    Wang, Lei
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [23] Optimal control for nonlinear dynamical system of microbial fed-batch culture
    Liu, Chongyang
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 232 (02) : 252 - 261
  • [24] Nonlinear hybrid kinetic system of microbial bioconversion in fed-batch culture
    Wang, Gang
    Feng, Enmin
    Xiu, Zhilong
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2008, 2 (01) : 65 - 73
  • [25] The mathematical modelling of a fed-batch fermentation system
    Ngoh, GC
    Ahmad, MN
    Holland, CR
    1996 ICHEME RESEARCH EVENT - SECOND EUROPEAN CONFERENCE FOR YOUNG RESEARCHERS IN CHEMICAL ENGINEERING, VOLS 1 AND 2, 1996, : 193 - 195
  • [26] FED-BATCH VERSUS BATCH FERMENTATION
    LONGOBARDI, GP
    BIOPROCESS ENGINEERING, 1994, 10 (5-6): : 185 - 194
  • [27] OPTIMAL CONTROL FOR A NONLINEAR TIME-DELAY SYSTEM IN FED-BATCH FERMENTATION
    Liu, Chongyang
    Gong, Zhaohua
    Feng, Enmin
    PACIFIC JOURNAL OF OPTIMIZATION, 2013, 9 (04): : 595 - 612
  • [28] MULTISTAGE OPTIMAL CONTROL FOR MICROBIAL FED-BATCH FERMENTATION PROCESS
    LI, Xiaohong
    Sun, Mingxin
    Gong, Zhaohua
    Feng, Enmin
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2022, 18 (03) : 1709 - 1721
  • [29] FED-BATCH HYDROCARBON FERMENTATION
    LIM, HC
    BIOTECHNOLOGY AND BIOENGINEERING, 1976, 18 (11) : 1635 - 1637
  • [30] Optimal control of a nonlinear state-dependent impulsive system in fed-batch process
    Liu, Chongyang
    Shi, Guoqing
    Liu, Gang
    Hu, Dianzhong
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2023, 16 (08)