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
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2008年 / 38卷 / 05期
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
  • [1] Identification and optimization of the nonlinear impulsive system in microbial fed-batch fermentation
    Gao, CX
    Feng, EM
    Xiu, ZL
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 625 - 632
  • [2] Optimality condition of the nonlinear impulsive system in fed-batch fermentation
    Wang, Huiyuan
    Feng, Enmin
    Xiu, Zhilong
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (01) : 12 - 23
  • [3] Stability Analysis of Nonlinear Hybrid System in Microbial Fed-batch Culture
    Gao, Caixia
    Feng, Jiuzai
    COMPUTATIONAL SYSTEMS BIOLOGY, 2010, 13 : 363 - 372
  • [4] Nonlinear impulsive system of fed-batch in fermentation productive and its parameter identification
    Gao, CX
    Feng, EM
    Xju, ZL
    2004 8TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION, VOLS 1-3, 2004, : 2160 - 2164
  • [5] Modeling and optimal control of a nonlinear dynamical system in microbial fed-batch fermentation
    Liu, Chongyang
    Gong, Zhaohua
    Feng, Enmin
    MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (1-2) : 168 - 178
  • [6] Nonlinear impulsive system of microbial production in fed-batch culture and its optimal control
    Gao C.
    Lang Y.
    Feng E.
    Xiu Z.
    Journal of Applied Mathematics and Computing, 2005, 19 (1-2) : 203 - 214
  • [7] Optimal control of nonlinear switched system in an uncoupled microbial fed-batch fermentation process
    Niu, Teng
    Zhai, Jingang
    Yin, Hongchao
    Feng, Enmin
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (14): : 6169 - 6190
  • [8] An improved nonlinear multistage switch system of microbial fermentation process in fed-batch culture
    Wang Lei
    Feng Enmin
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2015, 28 (03) : 580 - 591
  • [9] An Improved Nonlinear Multistage Switch System of Microbial Fermentation Process in Fed-Batch Culture
    WANG Lei
    FENG Enmin
    JournalofSystemsScience&Complexity, 2015, 28 (03) : 580 - 591
  • [10] An improved nonlinear multistage switch system of microbial fermentation process in fed-batch culture
    Lei Wang
    Enmin Feng
    Journal of Systems Science and Complexity, 2015, 28 : 580 - 591
12345