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This paper presents a method for structural identifiability analysis of fractional order systems by using the coefficient mapping concept to determine whether the model parameters can uniquely be identified from input-output data. The…

Optimization and Control · Mathematics 2015-11-05 S. M. Mahdi Alavi , Adam Mahdi , Pierre E. Jacob , Stephen J. Payne , David A. Howey

Electrochemical Impedance Spectroscopy (EIS) and Equivalent Circuit Models (ECMs) are widely used to characterize the impedance and estimate parameters of electrochemical systems such as batteries. We use a generic ECM with ten parameters…

Systems and Control · Electrical Eng. & Systems 2024-03-18 Vladimir Sovljanski , Mario Paolone

Analysis of Electrochemical Impedance Spectroscopy (EIS) data for electrochemical systems often consists of defining an Equivalent Circuit Model (ECM) using expert knowledge and then optimizing the model parameters to deconvolute various…

Electrochemical Impedance Spectroscopy (EIS) is a non-invasive technique widely used for understanding charge transfer and charge transport processes in electrochemical systems and devices. Standard approaches for the interpretation of EIS…

Electrochemical impedance spectroscopy (EIS) is an effective method for studying the electrochemical systems. The interpretation of EIS is the biggest challenge in this technology, which requires reasonable modeling. However, the modeling…

Data Analysis, Statistics and Probability · Physics 2019-07-04 Shan Zhu , Xinyang Sun , Yuxuan Wang , Naiqin Zhao , Junwei Sha

The impedance of a Li-ion battery contains information about its state of charge (SOC), state of health (SOH) and remaining useful life (RUL). Commonly, electrochemical impedance spectroscopy (EIS) is used as a nonparametric data-driven…

Electrochemical Impedance Spectroscopy (EIS) is a crucial technique for assessing corrosion of a metallic materials. The analysis of EIS hinges on the selection of an appropriate equivalent circuit model (ECM) that accurately characterizes…

Micro-Electro-Mechanical Systems (MEMS) normally have fixed or moving structures with cross-sections of the order of microns ($\mu m$) and lengths of the order of tens or hundreds of microns. These structures are often plates or array of…

Computational Physics · Physics 2007-05-23 N. Majumdar , S. Mukhopadhyay

This paper investigates the identification of observable low-frequency (LF) parameters of battery cell's equivalent circuit models (ECMs) using time-domain voltage and current measurements sampled at low frequency by built-in battery…

Systems and Control · Electrical Eng. & Systems 2026-05-29 Vladimir Sovljanski , Mario Paolone

There is a need for techniques for efficient and accurate measurement of the impedance of rechargeable batteries at extra-low frequencies (ELFs, typically below 10uHz), as these reflect real usage and cycling patterns, and their importance…

Instrumentation and Detectors · Physics 2022-02-17 Christopher Dunn , Jonathan Scott

Interval approaches for the reachability analysis of initial value problems for sets of classical ordinary differential equations have been investigated and implemented by many researchers during the last decades. However, there exist…

Systems and Control · Electrical Eng. & Systems 2021-01-15 Andreas Rauh , Julia Kersten

In this paper, we study a suitable experimental design of electrochemical impedance spectroscopy (EIS) to reduce the number of frequency points while not significantly affecting the uncertainties of the estimated cell's equivalent circuit…

Systems and Control · Electrical Eng. & Systems 2025-01-13 Vladimir Sovljanski , Mario Paolone , Sylvain Tant , Damien Pierre Sainflou

Structural equation modeling (SEM) is a statistical method widely used in educational research to investigate relationships between variables. SEM models are typically constructed based on theoretical foundations and assessed through fit…

Physics Education · Physics 2024-05-31 Yangqiuting Li , Chandralekha Singh

A simple method for visualization of nonuniformity of planar MBE structures is proposed. The method is based on measuring the relief of the photo-EMF. The method can be applied to a wide variety of semiconductor structures and does not…

Materials Science · Physics 2007-05-23 G. G. Kozlov

We study the entanglement spectrum (ES) of two-dimensional $C_{n}$-symmetric second-order topological insulators (TIs). We show that some characteristic higher order topological observables, e.g., the filling anomaly and its associated…

Mesoscale and Nanoscale Physics · Physics 2020-03-23 Penghao Zhu , Kieran Loehr , Taylor L. Hughes

Parameter identifiability is often requisite to the effective application of mathematical models in the interpretation of biological data, however theory applicable to the study of partial differential equations remains limited. We present…

Analysis of PDEs · Mathematics 2025-04-08 Yurij Salmaniw , Alexander P Browning

The impedance/admittance measurements of a piezoelectric transducer bonded to or embedded in a host structure can be used as damage indicator. When a credible model of the healthy structure, such as the finite element model, is available,…

Data Analysis, Statistics and Probability · Physics 2018-10-30 Pei Cao , Qi Shuai , Jiong Tang

Growing demand for fast charging and optimised battery designs is fuelling significant interest in electrochemical models of Li-ion batteries. However, estimating parameter values for these models remains a major challenge. In this paper, a…

Systems and Control · Electrical Eng. & Systems 2020-12-04 Ross Drummond , Stephen R. Duncan

Liquid chromatography tandem mass spectrometry (LC-MS/MS) is a critical analytical technique for molecular identification across metabolomics, environmental chemistry, and chemical forensics. A variety of computational methods have emerged…

Quantitative Methods · Quantitative Biology 2026-02-10 Mrunali Manjrekar , Runzhong Wang , Samuel Goldman , Jenna C. Fromer , Connor W. Coley

Structural identifiability is a property of a differential model with parameters that allows for the parameters to be determined from the model equations in the absence of noise. The method of input-output equations is one method for…

Dynamical Systems · Mathematics 2022-01-28 Alexey Ovchinnikov , Gleb Pogudin , Peter Thompson
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