Abstract
Considering the ethanol fermentation is a typical product-inhibiting process, a mathematical model of the ethanol fermentation with the state feedback control is proposed in this paper. The sufficient conditions for existence of the positive period-1 solution and period-2 solution are obtained based on the theory of the impulsive semi-dynamical system and the qualitative properties of the corresponding continuous system. We prove that ethanol fermentation with impulsive state feedback control tends to an order-1 periodic solution or order-2 periodic solution if the control measures are achieved during the fermentation. Furthermore, mathematical results are justified by some numerical simulations.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
