Robustness of Solutions of the Inverse Problem for Linear Dynamical Systems with Uncertain Data

DOI10.1137/16M1062466zbMath1391.93051OpenAlexW2728456202MaRDI QIDQ5269876

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

Publication date: 28 June 2017

Published in: SIAM/ASA Journal on Uncertainty Quantification (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1062466

zbMATH Keywords

linear systemsparameter estimationinverse problemuncertain dataidentifiabilitymatrix logarithm

Mathematics Subject Classification ID

System identification (93B30) Observability (93B07) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Linear ordinary differential equations and systems (34A30) Inverse problems involving ordinary differential equations (34A55)

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Uses Software

• mftoolbox

Cites Work

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• Approximating the Logarithm of a Matrix to Specified Accuracy
• Identifiability of Linear and Linear-in-Parameters Dynamical Systems from a Single Trajectory
• Mathematical Systems Theory I
• Improved Inverse Scaling and Squaring Algorithms for the Matrix Logarithm
• An Analysis of an Inverse Problem in Ordinary Differential Equations
• Functions of Matrices
• On the Existence and Uniqueness of the Real Logarithm of a Matrix