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

DOI10.1016/j.nonrwa.2010.06.022zbMath1201.92032OpenAlexW1988919187MaRDI QIDQ611253

Zhilong Xiu, Jianxiong Ye, Hongchao Yin, En-Min Feng

Publication date: 14 December 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.06.022

zbMATH Keywords

continuous dependencenonlinear hybrid systemnon-Zeno behaviorpH logic controlstate-based switching

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Dynamical systems in biology (37N25) Biochemistry, molecular biology (92C40)

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Cites Work

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• Nonlinear impulsive system of fed-batch culture in fermentative production and its properties
• Well-posedness of bimodal state-based switched systems
• Nonlinear hybrid kinetic system of microbial bioconversion in fed-batch culture
• Existence and uniqueness of solutions of piecewise nonlinear systems
• Procedures for parameter and state estimation of microbial growth process models
• Modelling and optimal control for nonlinear multistage dynamical system of microbial fed-batch culture
• Finite valued feedback laws and piecewise classical solutions
• Hybrid dynamical systems

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