Parameter identification of nonlinear delayed dynamical system in microbial fermentation based on biological robustness

DOI10.3934/naco.2014.4.103zbMath1341.49047OpenAlexW2334287672MaRDI QIDQ478927

Yingfang Li, Emin Feng, Zhilong Xiu, Jinlong Yuan, Lei Wang

Publication date: 5 December 2014

Published in: Numerical Algebra, Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/naco.2014.4.103

zbMATH Keywords

parameter identificationnonlinear time-delay systemsbiological robustnessenzyme-catalytic kinetic systemfermentation

Mathematics Subject Classification ID

Nonlinear programming (90C30) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Existence of solutions for minimax problems (49J35) Existence theories for optimal control problems involving ordinary differential equations (49J15) Inverse problems in optimal control (49N45)

Related Items (2)

A measure of concentration robustness in a biochemical reaction network and its application on system identification ⋮ Analysis and application of biological robustness as performance index in microbial fermentation

Cites Work

• Modelling and regularity of nonlinear impulsive switching dynamical system in fed-batch culture
• Optimal switching control of a fed-batch fermentation process
• Complex metabolic network of glycerol fermentation by Klebsiella pneumoniae and its system identification via biological robustness
• Pathway identification using parallel optimization for a complex metabolic system in microbial continuous culture
• Existence of equilibrium points and stability of the nonlinear dynamical system in microbial continuous cultures
• Oscillatory behavior in microbial continuous culture with discrete time delay
• Stabilization of nonlinear systems with state and control constraints using Lyapunov-based predictive control
• Vector measure as controls for explicit nonlinear impulsive system of fed-batch culture
• Predictive control of switched nonlinear systems with scheduled mode transitions
• Hopf bifurcation of a five-dimensional delay differential system

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