Volterra-series-based nonlinear system modeling and its engineering applications: A state-of-the-art review

CM Cheng, ZK Peng, WM Zhang, G Meng - Mechanical Systems and Signal …, 2017 - Elsevier
Nonlinear problems have drawn great interest and extensive attention from engineers,
physicists and mathematicians and many other scientists because most real systems are …

Bayesian and Markov chain Monte Carlo methods for identifying nonlinear systems in the presence of uncertainty

PL Green, K Worden - Philosophical Transactions of the …, 2015 - royalsocietypublishing.org
In this paper, the authors outline the general principles behind an approach to Bayesian
system identification and highlight the benefits of adopting a Bayesian framework when …

Parameter estimation for nonlinear Volterra systems by using the multi-innovation identification theory and tensor decomposition

Y Wang, S Tang, X Gu - Journal of the Franklin Institute, 2022 - Elsevier
The Volterra model can represent a wide range of nonlinear dynamical systems. However,
its practical use in nonlinear system identification is limited due to the exponentially growing …

[图书][B] Principles of system identification: theory and practice

AK Tangirala - 2018 - taylorfrancis.com
Master Techniques and Successfully Build Models Using a Single Resource Vital to all data-
driven or measurement-based process operations, system identification is an interface that …

Exploiting spike-and-slab prior for variational estimation of nonlinear systems

X Liu, X Yang - IEEE Transactions on Industrial Informatics, 2023 - ieeexplore.ieee.org
Identification of nonlinear dynamic systems remains challenging nowadays. Although the
nonlinear autoregressive with exogenous input (NARX) model is flexible to describe …

Sparse Bayesian nonlinear system identification using variational inference

WR Jacobs, T Baldacchino, T Dodd… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
Bayesian nonlinear system identification for one of the major classes of dynamic model, the
nonlinear autoregressive with exogenous input (NARX) model, has not been widely studied …

Design assessments of complex systems based on design oriented modelling and uncertainty analysis

C Yu, YP Zhu, H Luo, Z Luo, L Li - Mechanical Systems and Signal …, 2023 - Elsevier
In the design of nonlinear complex systems, the output responses of a complex system
subject to demanding loading conditions need to be assessed before the system can be …

[HTML][HTML] On the confidence bounds of Gaussian process NARX models and their higher-order frequency response functions

K Worden, WE Becker, TJ Rogers, EJ Cross - Mechanical Systems and …, 2018 - Elsevier
One of the most powerful and versatile system identification frameworks of the last three
decades is the NARMAX/NARX 1 approach, which is based on a nonlinear discrete-time …

[HTML][HTML] A Bayesian framework to estimate part quality and associated uncertainties in multistage manufacturing

M Papananias, TE McLeay, M Mahfouf… - computers in …, 2019 - Elsevier
Manufacturing is usually performed as a sequence of operations such as forming,
machining, inspection, and assembly. A new challenge in manufacturing is to move towards …

An iterative orthogonal forward regression algorithm

Y Guo, LZ Guo, SA Billings, HL Wei - International Journal of …, 2015 - Taylor & Francis
A novel iterative learning algorithm is proposed to improve the classic Orthogonal Forward
Regression (OFR) algorithm in an attempt to produce an optimal solution under a purely …