Guaranteed nonlinear parameter estimation in knowledge-based models

DOI10.1016/j.cam.2005.07.039zbMath1108.65079OpenAlexW2100645164MaRDI QIDQ861885

Michel Kieffer, Éric Walter

Publication date: 2 February 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.07.039

zbMATH Keywords

estimationparameter estimationnonlinear systemsnumerical examplesinterval analysiscooperativityknowledge-based modelsparameter bounding

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) General methods in interval analysis (65G40) Numerical methods for initial value problems involving ordinary differential equations (65L05) Inverse problems involving ordinary differential equations (34A55) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Related Items (3)

Guaranteed estimation of the parameters of nonlinear continuous-time models: Contributions of interval analysis ⋮ An inverse method for bounded error parameter identification ⋮ Rigorous parameter reconstruction for differential equations with noisy data

Cites Work

• Identification of parametric models from experimental data. Transl. from an upd. French version by the authors, with the help of John Norton
• Set inversion via interval analysis for nonlinear bounded-error estimation
• Verified integration of ODEs and flows using differential algebraic methods on high-order Taylor models
• Guaranteed non-linear estimation using constraint propagation on sets
• Bounding the Solution of Interval Linear Equations
• Guaranteed recursive non-linear state bounding using interval analysis
• Rapprochement between bounded‐error and stochastic estimation theory
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Guaranteed nonlinear parameter estimation in knowledge-based models