Modelling and properties of a nonlinear autonomous switching system in fed-batch culture of glycerol |
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Authors: | Juan Wang Qingying Sun Enmin Feng |
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Affiliation: | 1. State Key Laboratory of Industrial Control Technology and Institute of Cyber-Systems & Control, Zhejiang University, Hangzhou, Zhejiang, China;2. Department of Mathematics & Statistics, Curtin University, Perth, Western Australia, Australia |
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Abstract: | A nonlinear autonomous switching system is proposed to describe the coupled fed-batch fermentation with the pH as the feedback parameter. We prove the non-Zeno behaviors of the switching system and some basic properties of its solution, including the existence, uniqueness, boundedness and regularity. Numerical simulation is also carried out, which reveals that the proposed system can describe the factual fermentation process properly. |
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