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The problem of identifiability of model parameters for open quantum systems is considered by investigating two-level dephasing systems. We discuss under which conditions full information about the Hamiltonian and dephasing parameters can be…

Quantum Physics · Physics 2015-01-15 Er-ling Gong , Weiwei Zhou , S. G. Schirmer , Zhi-Qiang Sun , Ming Zhang

In this work we analyse the local nonlinear electrochemical impedance spectroscopy (NLEIS) response of a lithium-ion battery and estimate model parameters from measured NLEIS data. The analysis assumes a single-particle model including…

Chemical Physics · Physics 2023-04-24 T. L. Kirk , A. Lewis-Douglas , D. A. Howey , C. P. Please , S. J. Chapman

Accurate parameter dependent electro-chemical numerical models for lithium-ion batteries are essential in industrial application. The exact parameters of each battery cell are unknown and a process of estimation is necessary to infer them.…

Statistics Theory · Mathematics 2024-04-25 Andrea Petrocchi , Matthias K. Scharrer , Franz Pichler , Stefan Volkwein

Parameter estimation-based observer (PEBO) is a recently developed constructive tool to design state observers for nonlinear systems. It reformulates the state estimation problem as one of online parameter identification, effectively…

Optimization and Control · Mathematics 2026-03-11 Bowen Yi , Leyan Fang , Romeo Ortega

This paper studies system identification of high-dimensional ARMA models with binary-valued observations. The existing paper can only deal with the case where the regression term is only one-dimensional. In this paper, the ARMA model with…

Optimization and Control · Mathematics 2024-10-29 Xin Li , Ting Wang , Jin Guo , Yanlong Zhao

Monitoring the state of health for Li-ion batteries is crucial in the battery management system (BMS), which helps end-users use batteries efficiently and safely. Battery state of health can be monitored by identifying parameters of battery…

Systems and Control · Electrical Eng. & Systems 2020-01-13 Minho Kim , Kwangrae Kim , Soohee Han

Modelling, parameter identification, and simulation play an important role in systems biology. Usually, the goal is to determine parameter values that minimise the difference between experimental measurement values and model predictions in…

Mathematical Software · Computer Science 2013-04-10 Thomas Dierkes , Susanna Röblitz , Moritz Wade , Peter Deuflhard

Multivariable parametric models are critical for designing, controlling, and optimizing the performance of engineered systems. The main aim of this paper is to develop a parametric identification strategy that delivers accurate and…

Signal Processing · Electrical Eng. & Systems 2025-07-01 Maarten van der Hulst , Rodrigo González , Koen Classens , Nic Dirkx , Jeroen van de Wijdeven , Tom Oomen

Battery short-term electrical impedance behavior varies between linear, linear time-varying, or nonlinear at different operating conditions. Data-based electrical impedance modeling techniques often model the battery as a linear…

Systems and Control · Computer Science 2018-05-17 Rishi Relan , Koen Tiels , Jean-Marc Timmermans , Johan Schoukens

The estimation law of unknown parameters vector ${\theta}$ is proposed for one class of nonlinearly parametrized regression equations $y\left( t \right) = \Omega \left( t \right)\Theta \left( \theta \right)$. We restrict our attention to…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Anton Glushchenko , Konstantin Lastochkin

This paper presents a numerical method to implement the parameter estimation method using response statistics that was recently formulated by the authors. The proposed approach formulates the parameter estimation problem of It\^o drift…

Numerical Analysis · Mathematics 2019-03-05 He Zhang , Xiantao Li , John Harlim

We address the problem of parameter identification for a single open qubit subjected to relaxation and dephasing. Our approach is based on selecting a minimal set of carefully chosen qubit configurations that can be reliably prepared and…

Optimization and Control · Mathematics 2025-12-09 Ghaieth Aloui , Ivan Beschastnyi , Ludovic Sacchelli

We propose a numerical technique for parameter inference in Markov models of biological processes. Based on time-series data of a process we estimate the kinetic rate constants by maximizing the likelihood of the data. The computation of…

Quantitative Methods · Quantitative Biology 2011-02-15 Aleksandr Andreychenko , Linar Mikeev , David Spieler , Verena Wolf

This paper studies the sparse identification problem of unknown sparse parameter vectors in stochastic dynamic systems. Firstly, a novel sparse identification algorithm is proposed, which can generate sparse estimates based on least squares…

Optimization and Control · Mathematics 2024-04-02 Ziming Wang , Xinghua Zhu

Identifiability is a necessary condition for successful parameter estimation of dynamic system models. A major component of identifiability analysis is determining the identifiable parameter combinations, the functional forms for the…

Quantitative Methods · Quantitative Biology 2013-10-07 Marisa C. Eisenberg , Michael A. L. Hayashi

This paper proposes a novel framework for active fault diagnosis and parameter estimation in linear systems operating in closed-loop, subject to unknown but bounded faults. The approach integrates set-membership identification with a cost…

Optimization and Control · Mathematics 2025-08-19 Annalena Daniels , Johannes Teutsch , Fabian Kleindienst , Marion Leibold , Dirk Wollherr

Physico-chemical continuum battery models are typically parameterized by manual fits, relying on the individual expertise of researchers. In this article, we introduce a computer algorithm that directly utilizes the experience of battery…

Data Analysis, Statistics and Probability · Physics 2023-02-08 Yannick Kuhn , Hannes Wolf , Arnulf Latz , Birger Horstmann

Structural parameter 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. One of the standard approaches to assessing this…

Algebraic Geometry · Mathematics 2020-12-29 Alexey Ovchinnikov , Gleb Pogudin , Peter Thompson

Machine learning enables rapid estimation of material parameters in solar cells via neural-network-based surrogate models. However, the reliability of extracted parameters depends on underlying assumptions such as the choice of…

Materials Science · Physics 2026-02-11 Eunchi Kim , Thomas Kirchartz

This paper presents a new parameter estimation algorithm for the adaptive control of a class of time-varying plants. The main feature of this algorithm is a matrix of time-varying learning rates, which enables parameter estimation error…

Optimization and Control · Mathematics 2021-11-18 Joseph E. Gaudio , Anuradha M. Annaswamy , Eugene Lavretsky , Michael A. Bolender