most citedFinite Sample Analysis of Open-loop Subspace Identification Methods

1 citations · 1 across the 5 of their papers we have counts for

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6 papers

math.FA2025

A Simple Proof of Nehari's Theorem Based on Duality

Cristian R. Rojas

In this technical note we provide a simple proof of Nehari's theorem on the optimal approximation by functions, based on convex duality.

eess.SY2025

Range Space or Null Space: Least-Squares Methods for the Realization Problem

Jiabao He, Yueyue Xu, Yue Ju +2

This contribution revisits the classical approximate realization problem, which involves determining matrices of a state-space model based on estimates of a truncated series of Mar…

eess.SY2025★ 1 cited

Finite Sample Analysis of Open-loop Subspace Identification Methods

Jiabao He, Ingvar Ziemann, Cristian R. Rojas +2

Subspace identification methods (SIMs) are known for their simple parameterization for MIMO systems and robust numerical properties. However, a comprehensive statistical analysis o…

eess.SY2024

A Weighted Least-Squares Method for Non-Asymptotic Identification of Markov Parameters from Multiple Trajectories

Jiabao He, Cristian R. Rojas, Håkan Hjalmarsson

Markov parameters play a key role in system identification. There exists many algorithms where these parameters are estimated using least-squares in a first, pre-processing, step,…

eess.SY2024

Weighted Least-Squares PARSIM

Jiabao He, Cristian R. Rojas, Håkan Hjalmarsson

Subspace identification methods (SIMs) have proven very powerful for estimating linear state-space models. To overcome the deficiencies of classical SIMs, a significant number of a…

eess.SY2024

Finite Sample Analysis for a Class of Subspace Identification Methods

Jiabao He, Ingvar Ziemann, Cristian R. Rojas +1

While subspace identification methods (SIMs) are appealing due to their simple parameterization for MIMO systems and robust numerical realizations, a comprehensive statistical anal…