Front. Built Environ. Frontiers in Built Environment Front. Built Environ. 2297-3362 Frontiers Media S.A. 1755156 10.3389/fbuil.2025.1755156 Correction Correction: Neural network based active control of base isolated structure considering isolator nonlinearity Ghanemi et al. 10.3389/fbuil.2025.1755156 Ghanemi Nour Elhouda 1 Data curation Formal Analysis Investigation Software Validation Writing - original draft Abdeddaim Mahdi 1 * Conceptualization Methodology Supervision Validation Writing - review and editing Ounis Abdelhafid 1 Conceptualization Supervision Validation Writing - review and editing Basili Michela 2 Conceptualization Funding acquisition Investigation Supervision Validation Writing - review and editing LARGHYDE Laboratory, Department of Civil Engineering and Hydraulics, Faculty of Architecture, Urbanism, Civil Engineering and Hydraulics, Biskra University, Biskra, Algeria Department of Engineering and Sciences, Universitas Mercatorum, Rome, Italy Correspondence: Mahdi Abdeddaim, m.abdeddaim@univ-biskra.dz 18 12 2025 2025 11 1755156 26 11 2025 08 12 2025 Copyright © 2025 Ghanemi, Abdeddaim, Ounis and Basili. 2025 Ghanemi, Abdeddaim, Ounis and Basili https://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms. A Correction on Neural network based active control of base isolated structure considering isolator nonlinearity by Ghanemi NE, Abdeddaim M, Ounis A and Basili M (2025). Front. Built Environ. 11:1630131. doi: 10.3389/fbuil.2025.1630131 hybrid control artificial intelligence active tuned mass damper base isolator artificial neural network linear quadratic regulator signal time delay white noise section-at-acceptance Earthquake Engineering

Equation (10) in Section 2 - Mathematical model, was erroneously given as:

d = 0 0 ⋮ 0 0 1 , H = 1 0 ⋮ 0 0 − 1

The correct equation is:

d = 0 0 ⋮ 0 0 1 , H = 1 0 ⋮ 0 0 0

Equation (13) in Section 2 - Mathematical model, was erroneously given as:

B = − M − 1 d − E 0 0

The correct equation is:

B = − M − 1 H M − 1 d − r 0 0 0

The published article stated:

[ u t = f u t   x g ¨ t T is the input vector collecting the ATMD force and the seismic acceleration.]

A correction has been made to the section Section 2 - Mathematical model:

“[ u t = f N L t   f u t   x ¨ g t T is the input vector collecting the nonlinear component of the restoring force, the force ATMD force and the seismic acceleration.]”

The original article has been updated.

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Edited and reviewed by: Songye Zhu, Hong Kong Polytechnic University, Hong Kong SAR, China