Vector measure as controls for explicit nonlinear impulsive system of fed-batch culture

DOI10.1016/j.jmaa.2008.09.054zbMath1152.92030OpenAlexW2018497319WikidataQ115927520 ScholiaQ115927520MaRDI QIDQ2518279

Zhilong Xiu, Gang Wang, En-Min Feng

Publication date: 15 January 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.09.054

zbMATH Keywords

optimal controlvector measurefed-batch culturebioconversionexplicit nonlinear impulsive dynamical system

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Applications of optimal control and differential games (49N90) Initial-boundary value problems for higher-order parabolic equations (35K35) Dynamical systems in biology (37N25) Biochemistry, molecular biology (92C40) Ecology (92D40)

Related Items (11)

Modelling and optimal control for a fed-batch fermentation process ⋮ Modeling and analysis of sustainable supply chain dynamics ⋮ Robust identification of nonlinear state-dependent impulsive switched system with switching duration constraints ⋮ Time-delay optimal control of a fed-batch production involving multiple feeds ⋮ Optimal control of a nonlinear state-dependent impulsive system in fed-batch process ⋮ Optimal control for multistage nonlinear dynamic system of microbial bioconversion in batch culture ⋮ Parameter identification of nonlinear delayed dynamical system in microbial fermentation based on biological robustness ⋮ Metabolic system identification and optimization in continuous culture ⋮ Modeling and identification of microbial batch fermentation using fuzzy expert system ⋮ Analysis and application of biological robustness as performance index in microbial fermentation ⋮ Robust parameter identification of a nonlinear impulsive time-delay system in microbial fed-batch process

Cites Work

• Necessary conditions of optimality for impulsive systems on Banach spaces
• Vector measure for explicit nonlinear impulsive system of glycerol bioconversion in fed-batch cultures and its parameter identification
• Stability analysis of equilibrium for microorganisms in continuous culture
• Parameters identification problem of the nonlinear dynamical system in microbial continuous cultures
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