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This study presents a new strategy for the identification of material parameters in the case of restricted or redundant data, based on a hybrid approach combining a genetic algorithm and the Levenberg-Marquardt method. The proposed…

Neural and Evolutionary Computing · Computer Science 2017-07-05 S. Carbillet , V. Guicheret-Retel , F. Trivaudey , F. Richard , M. L. Boubakar

This contribution presents a parameter identification methodology for the accurate and fast estimation of model parameters in a pseudo-two-dimensional (P2D) battery model. The methodology consists of three key elements. First, the data for…

Systems and Control · Electrical Eng. & Systems 2025-07-21 L. D. Couto , K. Haghverdi , F. Guo , K. Trad , G. Mulder

The parameters of a linear compartment model are usually estimated from experimental input-output data. A problem arises when infinitely many parameter values can yield the same result; such a model is called unidentifiable. In this case,…

Combinatorics · Mathematics 2016-03-08 Jasmijn A. Baaijens , Jan Draisma

Optimization techniques play a crucial role in estimating parameters and state information for nonlinear systems. However, some critical aspects of these problems have received little attention in previous research. In this paper, we…

Optimization and Control · Mathematics 2023-06-02 Kaushal Kumar

In this paper, we study optimization problems where the cost function contains time-varying parameters that are unmeasurable and evolve according to linear, yet unknown, dynamics. We propose a solution that leverages control theoretic tools…

Optimization and Control · Mathematics 2025-03-20 Shivanshu Tripathi , Abed AlRahman Al Makdah , Fabio Pasqualetti

In this paper, we address the identification problem for the systems characterized by linear time-invariant dynamics with bilinear observation models. More precisely, we consider a suitable parametric description of the system and formulate…

Systems and Control · Electrical Eng. & Systems 2025-02-24 Diyou Liu , Mohammad Khosravi

In porous media physics, calibrating model parameters through experiments is a challenge. This process is plagued with errors that come from modelling, measurement and computation of the macroscopic observables through random homogenization…

Optimization and Control · Mathematics 2014-02-06 F. Legoll , W. Minvielle , A. Obliger , M. Simon

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

In system identification, estimating parameters of a model using limited observations results in poor identifiability. To cope with this issue, we propose a new method to simultaneously select and estimate sensitive parameters as key model…

Within the calibration of material models, often the numerical results of a simulation model $y$ are compared with the experimental measurements $y^*$. Usually, the differences between measurements and simulation are minimized using least…

Materials Science · Physics 2024-08-14 Thomas Most

Nonlocal operators of fractional type are a popular modeling choice for applications that do not adhere to classical diffusive behavior; however, one major challenge in nonlocal simulations is the selection of model parameters. In this work…

Optimization and Control · Mathematics 2020-10-09 Olena Burkovska , Christian Glusa , Marta D'Elia

When employing mechanistic models to study biological phenomena, practical parameter identifiability is important for making accurate predictions across wide range of unseen scenarios, as well as for understanding the underlying mechanisms.…

Quantitative Methods · Quantitative Biology 2023-10-19 Yue Liu , Kevin Suh , Philip K. Maini , Daniel J. Cohen , Ruth E. Baker

Low complexity of a system model is essential for its use in real-time applications. However, sparse identification methods commonly have stringent requirements that exclude them from being applied in an industrial setting. In this paper,…

Systems and Control · Electrical Eng. & Systems 2022-03-24 Mark Haring , Esten Ingar Grøtli , Signe Riemer-Sørensen , Katrine Seel , Kristian Gaustad Hanssen

The feasibility of uniquely estimating parameters of dynamical systems from observations is a widely discussed aspect of mathematical modelling. Several approaches have been published for analyzing identifiability. However, they are…

Methodology · Statistics 2017-08-14 Clemens Kreutz

Physics-informed neural networks have emerged as a powerful tool in the scientific machine learning community, with applications to both forward and inverse problems. While they have shown considerable empirical success, significant…

Optimization and Control · Mathematics 2025-12-11 Federica Caforio , Martin Holler , Matthias Höfler

We tackle the problem of system identification, where we select inputs, observe the corresponding outputs from the true system, and optimize the parameters of our model to best fit the data. We propose a practical and computationally…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Alexandros E. Tzikas , Mykel J. Kochenderfer

We develop a method for offline parameter estimation of discrete multibody dynamics with regularized and frictional kinematic constraints. This setting leads to unobserved degrees of freedom, which we handle using joint state and parameter…

Optimization and Control · Mathematics 2025-02-11 Hannes Marklund , Martin Servin , Mats G Larson

Efficient parameter identification of electrochemical models is crucial for accurate monitoring and control of lithium-ion cells. This process becomes challenging when applied to complex models that rely on a considerable number of…

Systems and Control · Electrical Eng. & Systems 2024-05-20 Jianzong Pi , Samuel Filgueira da Silva , Mehmet Fatih Ozkan , Abhishek Gupta , Marcello Canova

This paper discusses an optimization method called Modified Bee Colony algorithm (MBC) based on a particular intelligent behavior of honeybee swarms. The algorithm was checked in a few benchmarks like Shekel, Rozenbroke, Himmelblau and…

Computational Engineering, Finance, and Science · Computer Science 2020-03-06 Vasiliy V. Grigoriev , Oleg Iliev , Petr N. Vabishchevich

Parameter estimation is of foundational importance for various model-based battery management tasks, including charging control, state-of-charge estimation and aging assessment. However, it remains a challenging issue as the existing…

Systems and Control · Electrical Eng. & Systems 2022-07-13 Ning Tian , Yebin Wang , Jian Chen , Huazhen Fang
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