Research Article
Invariance of the Hybrid System in Microbial Fermentation
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@INPROCEEDINGS{10.1007/978-3-642-02466-5_29, author={Caixia Gao and Enmin Feng}, title={Invariance of the Hybrid System in Microbial Fermentation}, proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1}, proceedings_a={COMPLEX PART 1}, year={2012}, month={5}, keywords={invariance hybrid system microbial fermentation}, doi={10.1007/978-3-642-02466-5_29} }- Caixia Gao
Enmin Feng
Year: 2012
Invariance of the Hybrid System in Microbial Fermentation
COMPLEX PART 1
Springer
DOI: 10.1007/978-3-642-02466-5_29
Abstract
In this study, we propose a nonlinear hybrid dynamical system to describe the concentrations of extracellular and intracellular substances in the process of bio-dissimilation of glycerol to 1,3-propanediol. An invariance principle is established for the hybrid dynamical system. At the same time, we state and prove new stability criteria for the nonlinear hybrid system. These results provide less conservative stability conditions for hybrid system as compared to classical results in the literature and allow us to characterize the invariance of a class of nonlinear hybrid dynamical systems.
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