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This paper deals with the noise identification of a linear time-varying stochastic dynamic system described by the state-space model. In particular, the stress is laid on the design of the correlation measurement difference method for…

Signal Processing · Electrical Eng. & Systems 2025-09-12 Oliver Kost , Jindrich Dunik , Ivo Puncochar , Ondrej Straka

Most existing works on optimal filtering of linear time-invariant (LTI) stochastic systems with arbitrary unknown inputs assume perfect knowledge of the covariances of the noises in the filter design. This is impractical and raises the…

Optimization and Control · Mathematics 2022-09-16 He Kong , Salah Sukkarieh , Travis J. Arnold , Tianshi Chen , Biqiang Mu , Wei Xing Zheng

Linear, time-varying (LTV) systems composed of time shifts, frequency shifts, and complex amplitude scalings are operators that act on continuous finite-energy waveforms. This paper presents a novel, resource-efficient method for…

Information Theory · Computer Science 2015-06-23 Andrew Harms , Waheed U. Bajwa , Robert Calderbank

This paper studies the problem of fault detection and estimation (FDE) for linear time-invariant (LTI) systems with a particular focus on frequency content information of faults, possibly as multiple disjoint continuum ranges, and under…

Systems and Control · Electrical Eng. & Systems 2024-10-02 Jingwei Dong , Kaikai Pan , Sergio Pequito , Peyman Mohajerin Esfahani

Port-Hamiltonian systems are pertinent representations of many nonlinear physical systems. In this study, we formulate and analyse a general class of stochastic car-following models with a systematic port-Hamiltonian structure. The model…

Dynamical Systems · Mathematics 2024-06-12 Barbara Rüdiger , Antoine Tordeux , Baris Ugurcan

In industrial imaging, accurately detecting and distinguishing surface defects from noise is critical and challenging, particularly in complex environments with noisy data. This paper presents a hybrid framework that integrates both…

Image and Video Processing · Electrical Eng. & Systems 2024-12-13 Alejandro Garnung Menéndez

In quantum information processing, knowledge of the noise in the system is crucial for high-precision manipulation and tomography of coherent quantum operations. Existing strategies for identifying this noise require the use of additional…

Quantum Physics · Physics 2013-03-14 Re-Bing Wu , Tie-Fu Li , A. G. Kofman , Jing Zhang , Yu-xi Liu , Yu. A. Pashkin , Jaw-Shen Tsai , Franco Nori

In this paper, we develop a system identification algorithm to identify a model for unknown linear quantum systems driven by time-varying coherent states, based on empirical single-shot continuous homodyne measurement data of the system's…

Quantum Physics · Physics 2020-12-14 H. I. Nurdin , N. H. Amini , J. Chen

We study online change point detection for multivariate inhomogeneous Poisson point process time series. This setting arises commonly in applications such as earthquake seismology, climate monitoring, and epidemic surveillance, yet remains…

This is a technical report that extends and clarifies the results presented in [1]. The model identification problem for asymptotically stable linear time invariant systems is considered. The system output is affected by an additive noise…

Optimization and Control · Mathematics 2018-09-05 Marco Lauricella , Lorenzo Fagiano

Parameter-efficient transfer learning (PETL) methods adapt large artificial neural networks to downstream tasks without fine-tuning the entire model. However, existing additive methods, such as adapters, sometimes struggle to capture…

Machine Learning · Computer Science 2026-04-20 Amirmohammad Mohammadi , Davelle Carreiro , Alexandra Van Dine , Joshua Peeples

This paper presents a system identification framework -- inspired by multi-task learning -- to estimate the dynamics of a given number of linear time-invariant (LTI) systems jointly by leveraging structural similarities across the systems.…

Systems and Control · Electrical Eng. & Systems 2023-09-12 Yiting Chen , Ana M. Ospina , Fabio Pasqualetti , Emiliano Dall'Anese

Distributed Port-Hamiltonian (dPHS) theory provides a powerful framework for modeling physical systems governed by partial differential equations and has enabled a broad class of boundary control methodologies. Their effectiveness, however,…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Thomas Beckers , Leonardo Colombo

The Hopf oscillator has been shown to capture many phenomena of the auditory and vestibular systems. These systems exhibit remarkable temporal resolution and sensitivity to weak signals, as they are able to detect sounds that induce motion…

Chaotic Dynamics · Physics 2019-05-22 Justin Faber , Dolores Bozovic

Despite rapid progress in live-imaging techniques, many complex biophysical and biochemical systems remain only partially observable, thus posing the challenge to identify valid theoretical models and estimate their parameters from an…

Biological Physics · Physics 2023-09-21 George Stepaniants , Alasdair D. Hastewell , Dominic J. Skinner , Jan F. Totz , Jörn Dunkel

Given the recent surge of interest in data-driven control, this paper proposes a two-step method to study robust data-driven control for a parameter-unknown linear time-invariant (LTI) system that is affected by energy-bounded noises.…

Systems and Control · Electrical Eng. & Systems 2022-03-15 Jiabao He , Xuan Zhang , Feng Xu , Junbo Tan , Xueqian Wang

The study of multiplicative noise models has a long history in control theory but is re-emerging in the context of complex networked systems and systems with learning-based control. We consider linear system identification with…

Systems and Control · Electrical Eng. & Systems 2020-07-06 Yu Xing , Ben Gravell , Xingkang He , Karl Henrik Johansson , Tyler Summers

In this short paper, we aim at developing algorithms for sparse Volterra system identification when the system to be identified has infinite impulse response. Assuming that the impulse response is represented as a sum of exponentials and…

Systems and Control · Computer Science 2019-03-27 Sarah Hojjatinia , Korkut Bekiroglu , Constantino M. Lagoa

This paper describes recursive algorithms for state estimation of linear dynamical systems when measurements are noisy with unknown bias and/or outliers. For situations with noisy and biased measurements, algorithms are proposed that…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Krishan Mohan Nagpal

In identification of dynamical systems, the prediction error method using a quadratic cost function provides asymptotically efficient estimates under Gaussian noise and additional mild assumptions, but in general it requires solving a…

Systems and Control · Computer Science 2018-03-28 Miguel Galrinho , Cristian R. Rojas , Hakan Hjalmarsson