IMPULSIVE CONTROL IN MICROORGANISMS CONTINUOUS FERMENTATION

被引：2
作者：
Shen, Lijuan [1 ,2 ]
Feng, Enmin [3 ]
Wu, Qidi [1 ]
机构：
[1] Tongji Univ, Dept Control Sci & Engn, Shanghai 200092, Peoples R China
[2] Luoyang Normal Univ, Dept Math, Luoyang 471022, Peoples R China
[3] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2012年 / 5卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Nonlinear dynamical system; equilibrium points; asymptotical stability; impulsive control; PARAMETERS IDENTIFICATION; KINETIC-MODEL; SYSTEM;
D O I：
10.1142/S1793524511001544
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
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.
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页数：9
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共 12 条
  • [1] Parameters identification problem of the nonlinear dynamical system in microbial continuous cultures
    Gao, CX
    Feng, EM
    Wang, ZT
    Xiu, ZL
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 169 (01) : 476 - 484
  • [2] Lakshmikantham V., 1989, World scientific, V6
  • [3] Pulsive feedback control of a quarter car model forced by a road profile
    Litak, G.
    Borowiec, M.
    Ali, M.
    Saha, L. M.
    Friswell, M. I.
    [J]. CHAOS SOLITONS & FRACTALS, 2007, 33 (05) : 1672 - 1676
  • [4] Control of forced self-sustained oscillations via a backward time controller
    Pyragas, K
    Pyragienè, T
    Tamasevicius, A
    Mykolaitis, G
    [J]. PHYSICS LETTERS A, 2006, 350 (5-6) : 349 - 354
  • [5] Bilevel parameters identification for the multi-stage nonlinear impulsive system in microorganisms fed-batch cultures
    Shen, Lijuan
    Wang, Yan
    Feng, Enmin
    Xiu, Zhilong
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (03) : 1068 - 1077
  • [6] [申丽娟 SHEN Lijuan], 2008, [系统科学与数学, Journal of Systems Science and Mathematical Sciences], V28, P802
  • [7] Vector measure as controls for explicit nonlinear impulsive system of fed-batch culture
    Wang, Gang
    Feng, Enmin
    Xiu, Zhilong
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 351 (01) : 120 - 127
  • [8] Xiu Z. L., 2000, Journal DaLian University of Technology, V40, P428
  • [9] Optimization of dissimilation of glycerol to 1,3-propanediol by Klebsiella pneumoniae in one- and two-stage anaerobic cultures
    Xiu, ZL
    Song, BH
    Wang, ZT
    Sun, LH
    Feng, EM
    Zeng, AP
    [J]. BIOCHEMICAL ENGINEERING JOURNAL, 2004, 19 (03) : 189 - 197
  • [10] Existence of equilibrium points and stability of the nonlinear dynamical system in microbial continuous cultures
    Ye, Jianxiong
    Feng, Enmin
    Lian, Hansheng
    Xiu, Zhilong
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 207 (02) : 307 - 318
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