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With new advances in machine learning and in particular powerful learning libraries, we illustrate some of the new possibilities they enable in terms of nonlinear system identification. For a large class of hybrid systems, we explain how…

Optimization and Control · Mathematics 2019-12-02 Mattias Fält , Pontus Giselsson

Accurate lifetime prediction of structures subjected to cyclic loading is vital, especially in scenarios involving non-uniform loading histories where load sequencing critically influences structural durability. Addressing this complexity…

Numerical Analysis · Mathematics 2025-03-10 Abedulgader Baktheer , Fadi Aldakheel

The new method is proposed to monitor the level of current physical load and accumulated fatigue by several objective and subjective characteristics. It was applied to the dataset targeted to estimate the physical load and fatigue by…

Computers and Society · Computer Science 2018-01-19 Yuri Gordienko , Sergii Stirenko , Yuriy Kochura , Oleg Alienin , Michail Novotarskiy , Nikita Gordienko

Hydraulic systems are widely utilized in industrial applications due to their high force generation, precise control, and ability to function in harsh environments. Hydraulic cylinders, as actuators in these systems, apply force and…

Machine Learning · Computer Science 2026-02-06 Mohamad Amin Jamshidi , Mehrbod Zarifi , Zolfa Anvari , Hamed Ghafarirad , Mohammad Zareinejad

Accurate models are essential for design, performance prediction, control, and diagnostics in complex engineering systems. Physics-based models excel during the design phase but often become outdated during system deployment due to changing…

Machine Learning · Computer Science 2025-01-22 Zihan Liu , Prashant N. Kambali , C. Nataraj

This work presents a hybrid modeling approach to data-driven learning and representation of unknown physical processes and closure parameterizations. These hybrid models are suitable for situations where the mechanistic description of…

Computational Physics · Physics 2021-08-17 Suraj Pawar , Omer San , Adil Rasheed , Ionel M. Navon

Fatigue strength estimation is a costly manual material characterization process in which state-of-the-art approaches follow a standardized experiment and analysis procedure. In this paper, we examine a modular, Machine Learning-based…

Machine Learning · Computer Science 2022-12-05 Dorina Weichert , Alexander Kister , Sebastian Houben , Gunar Ernis , Stefan Wrobel

Hybrid approaches that combine data-driven learning with physics-based insight have shown promise for improving the reliability of industrial condition monitoring. This work develops a hybrid condition monitoring framework that integrates…

Machine Learning · Computer Science 2026-04-14 Maryam Ahang , Todd Charter , Masoud Jalayer , Homayoun Najjaran

Hybrid systems are traditionally difficult to identify and analyze using classical dynamical systems theory. Moreover, recently developed model identification methodologies largely focus on identifying a single set of governing equations…

Dynamical Systems · Mathematics 2019-06-19 Niall M Mangan , Travis Askham , Steven L Brunton , J Nathan Kutz , Joshua L Proctor

Machine learning as a data-driven solution has been widely applied in the field of fatigue lifetime prediction. In this paper, three models for wideband fatigue life prediction are built based on three machine learning models, i.e. support…

Materials Science · Physics 2023-11-14 Hong Sun , Yuanying Qiu , Jing Li , Jin Bai , Ming Peng

The aim of this work is to investigate the use of Incrementally Input-to-State Stable ($\delta$ISS) deep Long Short Term Memory networks (LSTMs) for the identification of nonlinear dynamical systems. We show that suitable sufficient…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Fabio Bonassi , Alessio La Bella , Giulio Panzani , Marcello Farina , Riccardo Scattolini

Models play an essential role in the design process of cyber-physical systems. They form the basis for simulation and analysis and help in identifying design problems as early as possible. However, the construction of models that comprise…

A new model is presented to predict hydrogen-assisted fatigue. The model combines a phase field description of fracture and fatigue, stress-assisted hydrogen diffusion, and a toughness degradation formulation with cyclic and hydrogen…

Computational Engineering, Finance, and Science · Computer Science 2024-05-21 C. Cui , P. Bortot , M. Ortolani , E. Martínez-Pañeda

Scientific analysis often relies on the ability to make accurate predictions of a system's dynamics. Mechanistic models, parameterized by a number of unknown parameters, are often used for this purpose. Accurate estimation of the model…

Dynamical Systems · Mathematics 2017-11-01 Franz Hamilton , Alun Lloyd , Kevin Flores

Fatigue is a loss in cognitive or physical performance due to physiological factors such as insufficient sleep, long work hours, stress, and physical exertion. It adversely affects the human body and can slow reaction times, reduce…

Human-Computer Interaction · Computer Science 2022-10-27 Ashish Jaiswal , Mohammad Zaki Zadeh , Aref Hebri , Fillia Makedon

To understand and predict the performance of scientific applications, several analytical and machine learning approaches have been proposed, each having its advantages and disadvantages. In this paper, we propose and validate a hybrid…

Performance · Computer Science 2019-02-27 Huda Ibeid , Siping Meng , Oliver Dobon , Luke Olson , William Gropp

Engineers and scientists have been collecting and analyzing fatigue data since the 1800s to ensure the reliability of life-critical structures. Applications include (but are not limited to) bridges, building structures, aircraft and…

Real-time hybrid testing is a method in which a substructure of the system is realised experimentally and the rest numerically. The two parts interact in real time to emulate the dynamics of the full system. Such experiments however are…

Dynamical Systems · Mathematics 2024-06-04 Sandor Beregi , David A. W. Barton , Djamel Rezgui , Simon A. Neild

While the identification of nonlinear dynamical systems is a fundamental building block of model-based reinforcement learning and feedback control, its sample complexity is only understood for systems that either have discrete states and…

Machine Learning · Statistics 2020-06-19 Horia Mania , Michael I. Jordan , Benjamin Recht

The development of data-informed predictive models for dynamical systems is of widespread interest in many disciplines. We present a unifying framework for blending mechanistic and machine-learning approaches to identify dynamical systems…

Dynamical Systems · Mathematics 2022-08-18 Matthew E. Levine , Andrew M. Stuart
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