English

Exponential convergence of recursive least squares with forgetting factor for multiple-output systems

Optimization and Control 2020-03-17 v1 Systems and Control Systems and Control

Abstract

We extend results of the recursive-least-squares-with-forgetting-factor identifier for single-input-single-output systems to the multiple-output case by, under the assumption of persistence of excitation, deriving the corresponding minimized objective function and by showing exponential convergence of the estimation error.

Keywords

Cite

@article{arxiv.2003.07334,
  title  = {Exponential convergence of recursive least squares with forgetting factor for multiple-output systems},
  author = {Sven Brüggemann and Robert R. Bitmead},
  journal= {arXiv preprint arXiv:2003.07334},
  year   = {2020}
}

Comments

3 pages plus references. Extension of scalar-output result to multiple outputs. One main theorem and proof

R2 v1 2026-06-23T14:16:28.872Z