Interval methods as a simulation tool for the dynamics of biological wastewater treatment processes with parameter uncertainties

DOI10.1016/j.apm.2009.06.019zbMath1185.65080OpenAlexW2000752346WikidataQ113880240 ScholiaQ113880240MaRDI QIDQ967863

Eberhard P. Hofer, Andreas Rauh, Harald Aschemann, Irina Krasnochtanova, Marco Kletting, Karl-Michael Schoop

Publication date: 2 May 2010

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2009.06.019

zbMATH Keywords

stability analysisparameter uncertaintiesinterval methodsbiological wastewater treatmentreduction of overestimationverified simulation

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) General methods in interval analysis (65G40) Physiological, cellular and medical topics (92C99)

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Uses Software

• INTLAB
• ValEncIA-IVP
• ValEncIA
• SmartMobile

Cites Work

• Reduction of overestimation in interval arithmetic simulation of biological wastewater treatment processes
• Verified integration of ODEs and flows using differential algebraic methods on high-order Taylor models
• Worst-case simulation of discrete linear time-invariant interval dynamic systems
• Consistency techniques in ordinary differential equations
• Verification Techniques for Sensitivity Analysis and Design of Controllers for Nonlinear Dynamical Systems with Uncertainties
• Physically Motivated Constraints for Efficient Interval Simulations Applied to the Analysis of Uncertain Models of Blood Cell Dynamics
• Guaranteed characterization of stability domains via set inversion
• Monotone control systems
• Validated Modeling of Mechanical Systems with SmartMOBILE: Improvement of Performance by ValEncIA-IVP
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