Identifiability of Linear and Linear-in-Parameters Dynamical Systems from a Single Trajectory

DOI10.1137/130937913zbMath1303.93066OpenAlexW2075860462WikidataQ57380383 ScholiaQ57380383MaRDI QIDQ2940739

Shelby R. Stanhope, David Swigon, Jonathan E. Rubin

Publication date: 20 January 2015

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5be3598bfe024bc11c10da18f3c2e25f62f598c4

zbMATH Keywords

linear systemsparameter estimationinverse problemcondition numberidentifiabilityKrylov subspace

Mathematics Subject Classification ID

System identification (93B30) Linear systems in control theory (93C05) Linear ordinary differential equations and systems (34A30) Inverse problems involving ordinary differential equations (34A55) Vector spaces, linear dependence, rank, lineability (15A03)

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Identifiability analysis of linear ordinary differential equation systems with a single trajectory ⋮ Parameter estimation for models of chemical reaction networks from experimental data of reaction rates ⋮ Qualitative inverse problems: mapping data to the features of trajectories and parameter values of an ODE model ⋮ Rigorous mapping of data to qualitative properties of parameter values and dynamics: a case study on a two-variable Lotka-Volterra system ⋮ Identification of affine dynamical systems from a single trajectory ⋮ Data assimilation methods for neuronal state and parameter estimation ⋮ On the Importance of the Jacobian Determinant in Parameter Inference for Random Parameter and Random Measurement Error Models ⋮ Estimate the spectrum of affine dynamical systems from partial observations of a single trajectory data ⋮ Robustness of Solutions of the Inverse Problem for Linear Dynamical Systems with Uncertain Data

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