Dynamic analysis of the ethanol fermentation with the impulsive state feedback control |
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Affiliation: | 1. Department of Mathematics, Huanghuai University Zhumadian, 463000 Henan, PR China;2. College of Information Engineering, Huanghuai University Zhumadian, 463000 Henan, PR China |
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Abstract: | To keep a sustainable and steady output of ethanol, ethanol fermentation in a bio-reactor with impulsive state feedback control is formulated. The sufficient conditions for existences of order-1 periodic solution and order-2 periodic solution are obtained by using the properties of the periodic solution. The results imply that ethanol fermentation tends to an order-1 periodic solution or order-2 periodic solution. At the same time, we also give the complete expression of the period of the positive period-1 solution. Finally, discussions and numerical simulations are given. |
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