Robust estimation of parameters in nonlinear ordinary differential equation models

DOI10.1007/s11424-015-4045-9zbMath1414.93183OpenAlexW2179709018WikidataQ115379020 ScholiaQ115379020MaRDI QIDQ2416522

Baosheng Liang, Yanping Qiu, Tao Hu, Heng-Jian Cui

Publication date: 23 May 2019

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-015-4045-9

zbMATH Keywords

asymptotic propertiesordinary differential equationrobust estimationHuber parameter

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Estimation and detection in stochastic control theory (93E10) Inverse problems involving ordinary differential equations (34A55) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (3)

Identification of parameters for large-scale kinetic models ⋮ Analytical solution of phosphate kinetics for hemodialysis ⋮ Identification of parameters in systems biology

Uses Software

• NEWUOA

Cites Work

• \(\sqrt{n}\)-consistent parameter estimation for systems of ordinary differential equations: bypassing numerical integration via smoothing
• Sieve estimation of constant and time-varying coefficients in nonlinear ordinary differential equation models by considering both numerical error and measurement error
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• Numerical Discretization-Based Estimation Methods for Ordinary Differential Equation Models via Penalized Spline Smoothing with Applications in Biomedical Research
• Developments of NEWUOA for minimization without derivatives
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• Parameter Estimation for Differential Equations: a Generalized Smoothing Approach
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• Convergence of stochastic processes
• Numerical Methods for Ordinary Differential Equations
• Robust Statistics
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