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Bibliographic Details
Main Authors: Kuang, Simon, Lin, Xinfan
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2312.05382
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Table of Contents:
  • We present a method of parameter estimation for large class of nonlinear systems, namely those in which the state consists of output derivatives and the flow is linear in the parameter. The method, which solves for the unknown parameter by directly inverting the dynamics using regularized linear regression, is based on new design and analysis ideas for differentiation filtering and regularized least squares. Combined in series, they yield a novel finite-sample bound on mean absolute error of estimation.