Rigorous parameter reconstruction for differential equations with noisy data

DOI10.1016/j.automatica.2008.01.032zbMath1153.93035OpenAlexW2038024531MaRDI QIDQ999062

Tomas Johnson, Warwick Tucker

Publication date: 30 January 2009

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2008.01.032

zbMATH Keywords

parameter estimationinterval analysisordinary differential equationsrigorous numerics

Mathematics Subject Classification ID

Identification in stochastic control theory (93E12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items

Adaptive observers and parameter estimation for a class of systems nonlinear in the parameters ⋮ Optimal input design for parameter estimation in a bounded-error context for nonlinear dynamical systems ⋮ Noise-tolerant algebraic method for reconstruction of nonlinear dynamical systems ⋮ Fast Sampling of Evolving Systems with Periodic Trajectories ⋮ An algorithm for continuous piecewise linear bounding of discrete time series data ⋮ An inverse method for bounded error parameter identification ⋮ Analytic reconstruction of some dynamical systems ⋮ Parameter range reduction from partial data in systems of differential algebraic equations ⋮ Generalized Hukuhara differentiability of interval-valued functions and interval differential equations

Uses Software

• VNODE
• PRRMD

Cites Work

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• Set membership state and parameter estimation for systems described by nonlinear differential equations
• Guaranteed nonlinear parameter estimation in knowledge-based models
• Parameter range reduction for ODE models using cumulative backward differentiation formulas
• On the value of information in system identification-bounded noise case
• An effective high-order interval method for validating existence and uniqueness of the solution of an IVP for an ODE
• Nonlinear bounded-error state estimation of continuous-time systems
• Validated solutions of initial value problems for ordinary differential equations
• Estimating parameters for generalized mass action models using constraint propagation
• Parameter reconstruction for biochemical networks using interval analysis
• Validated solutions of initial value problems for parametric ODEs
• Interval Methods for Systems of Equations
• Parameter Estimation Using Interval Computations