Modelling and properties of a nonlinear autonomous switching system in fed-batch culture of glycerol

[1]  Jukka Ranta,et al.  Procedures for parameter and state estimation of microbial growth process models , 1982, Autom..

[2]  Tsuneo Yamane,et al.  Fed-batch techniques in microbial processes , 1984 .

[3]  A. Zeng,et al.  Multiple product inhibition and growth modeling of clostridium butyricum and klebsiella pneumoniae in glycerol fermentation , 1994, Biotechnology and bioengineering.

[4]  A. Zeng,et al.  A Kinetic Model for Substrate and Energy Consumption of Microbial Growth under Substrate‐Sufficient Conditions , 1995, Biotechnology progress.

[5]  A. Zeng,et al.  Kinetic, dynamic, and pathway studies of glycerol metabolism by Klebsiella pneumoniae in anaerobic continuous culture: I. The phenomena and characterization of oscillation and hysteresis , 2000, Biotechnology and bioengineering.

[6]  A. Zeng,et al.  High concentration and productivity of 1,3-propanediol from continuous fermentation of glycerol by Klebsiella pneumoniae , 1997 .

[7]  Yu. S. Ledyaev,et al.  Nonsmooth analysis and control theory , 1998 .

[8]  V. Borkar,et al.  A unified framework for hybrid control: model and optimal control theory , 1998, IEEE Trans. Autom. Control..

[9]  J. Lygeros,et al.  Approximate Stabilisation of Uncertain Hybrid Systems , 2003, HSCC.

[10]  P. Xu,et al.  Microbial fed-batch production of 1,3-propanediol by Klebsiella pneumoniae under micro-aerobic conditions , 2003, Applied Microbiology and Biotechnology.

[11]  H. Biebl,et al.  Production of 1,3-propanediol by Clostridium butyricum DSM 5431 and product tolerant mutants in fedbatch culture: Feeding strategy for glycerol and ammonium , 1996, Biotechnology Letters.

[12]  Feng Lin,et al.  Analysis of Zeno behaviors in a class of hybrid systems , 2005, IEEE Transactions on Automatic Control.

[13]  Enmin Feng,et al.  Nonlinear impulsive system of microbial production in fed-batch culture and its optimal control , 2005 .

[14]  Francesca Maria Ceragioli,et al.  Finite valued feedback laws and piecewise classical solutions , 2006 .

[15]  Enmin Feng,et al.  Nonlinear hybrid kinetic system of microbial bioconversion in fed-batch culture , 2008 .

[16]  Zong-ming Zheng,et al.  3-Hydroxypropionaldehyde guided glycerol feeding strategy in aerobic 1,3-propanediol production by Klebsiella pneumoniae , 2008, Journal of Industrial Microbiology & Biotechnology.

[17]  Kok Lay Teo,et al.  Well-posedness of bimodal state-based switched systems , 2008, Appl. Math. Lett..

[18]  Enmin Feng,et al.  Modelling and well-posedness of a nonlinear hybrid system in fed-batch production of 1,3-propanediol with open loop glycerol input and pH logic control , 2011 .

[19]  Zhaohua Gong,et al.  Modeling and optimal control of a nonlinear dynamical system in microbial fed-batch fermentation , 2011, Math. Comput. Model..