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Physics-Informed Neural Networks (PINNs) have enabled significant improvements in modelling physical processes described by partial differential equations (PDEs). PINNs are based on simple architectures, and learn the behavior of complex…

Model predictive control (MPC) provides a useful means for controlling systems with constraints, but suffers from the computational burden of repeatedly solving an optimization problem in real time. Offline (explicit) solutions for MPC…

Systems and Control · Electrical Eng. & Systems 2022-09-14 Daniel Tabas , Baosen Zhang

Physics-informed neural networks (PINNs) are a promising approach that combines the power of neural networks with the interpretability of physical modeling. PINNs have shown good practical performance in solving partial differential…

Statistics Theory · Mathematics 2026-01-26 Nathan Doumèche , Gérard Biau , Claire Boyer

Physics-Informed Neural Networks (PINNs) have emerged as a highly active research topic across multiple disciplines in science and engineering, including computational geomechanics. PINNs offer a promising approach in different applications…

Computational Engineering, Finance, and Science · Computer Science 2024-04-30 Yared W. Bekele

The deployment of autonomous navigation systems on ships necessitates accurate motion prediction models tailored to individual vessels. Traditional physics-based models, while grounded in hydrodynamic principles, often fail to account for…

This paper proposes and develops a physics-inspired neural network (PiNN) for learning the parameters of commercially implemented adaptive cruise control (ACC) systems in automotive industry. To emulate the core functionality of stock ACC…

Systems and Control · Electrical Eng. & Systems 2024-05-13 Theocharis Apostolakis , Konstantinos Ampountolas

Physics-Informed Neural Networks (PINNs) have emerged as a promising approach for solving Partial Differential Equations (PDEs) by incorporating physical constraints into deep learning models. However, standard PINNs often require a large…

Machine Learning · Computer Science 2025-05-05 Keon Vin Park

Physics-informed neural networks (PINNs) have recently emerged as a promising alternative for extracting unknown quantities from experimental data. Despite this potential, much of the recent literature has relied on sparse, high-fidelity…

Fluid Dynamics · Physics 2026-01-09 Christian Toma , Bharathram Ganapathisubramani , Sean Symon

With the sustained rise in satellite deployment in Low Earth Orbits, the collision risk from untracked space debris is also increasing. Often small-sized space debris (below 10 cm) are hard to track using the existing state-of-the-art…

Earth and Planetary Astrophysics · Physics 2024-01-30 Harsha M. , Gurpreet Singh , Vinod Kumar , Arun Balaji Buduru , Sanat K. Biswas

In complex engineering systems such as electro-thermal-fluid coupling, rapid and accurate prediction of multi-physics fields is essential for advanced applications like digital twins and real-time condition monitoring. Traditional numerical…

Computational Physics · Physics 2026-03-25 Baitong Zhou , Ze Tao , Fujun Liu , Xuan Fang

In recent years, scientific machine learning, particularly physic-informed neural networks (PINNs), has introduced new innovative methods to understanding the differential equations that describe power system dynamics, providing a more…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Huynh T. T. Tran , Hieu T. Nguyen

In order to drastically reduce the heavy computational burden associated with time-domain simulations, this paper introduces a Physics-Informed Neural Network (PINN) to directly learn the solutions of power system dynamics. In contrast to…

Systems and Control · Electrical Eng. & Systems 2021-07-01 Jochen Stiasny , Samuel Chevalier , Spyros Chatzivasileiadis

Physics-Informed Neural Networks (PINNs) serve as a flexible alternative for tackling forward and inverse problems in differential equations, displaying impressive advancements in diverse areas of applied mathematics. Despite integrating…

Fluid Dynamics · Physics 2024-07-12 Shengfeng Xu , Chang Yan , Zhenxu Sun , Renfang Huang , Dilong Guo , Guowei Yang

We introduce a machine-learning framework named statistics-informed neural network (SINN) for learning stochastic dynamics from data. This new architecture was theoretically inspired by a universal approximation theorem for stochastic…

Machine Learning · Computer Science 2022-12-28 Yuanran Zhu , Yu-Hang Tang , Changho Kim

Model predictive control (MPC) has proven useful in enabling safe and optimal motion planning for autonomous vehicles. In this paper, we investigate how to achieve MPC-based motion planning when a neural state-space model represents the…

Robotics · Computer Science 2025-11-18 Iman Askari , Ali Vaziri , Xuemin Tu , Shen Zeng , Huazhen Fang

Physics-informed neural networks (PINNs) are trained using physical equations and can also incorporate unmodeled effects by learning from data. PINNs for control (PINCs) of dynamical systems are gaining interest due to their prediction…

Systems and Control · Electrical Eng. & Systems 2024-08-29 Henrik Krauss , Tim-Lukas Habich , Max Bartholdt , Thomas Seel , Moritz Schappler

In this work, we consider the task of improving the accuracy of dynamic models for model predictive control (MPC) in an online setting. Although prediction models can be learned and applied to model-based controllers, these models are often…

Robotics · Computer Science 2022-11-29 Tom Z. Jiahao , Kong Yao Chee , M. Ani Hsieh

This paper discusses translation and attitude control in spacecraft rendezvous and soft docking. The target spacecraft orbit can be either circular or elliptic. The high fidelity model for this problem is intrinsically a nonlinear system…

Optimization and Control · Mathematics 2020-01-14 Yaguang Yang

We present a physics-inspired neural network (PINN) model for direct prediction of hydrodynamic forces and torques experienced by individual particles in stationary beds of randomly distributed spheres. In line with our findings, it has…

Fluid Dynamics · Physics 2022-03-09 Arman Seyed-Ahmadi , Anthony Wachs

Approximating solutions to partial differential equations (PDEs) is fundamental for the modeling of dynamical systems in science and engineering. Physics-informed neural networks (PINNs) are a recent machine learning-based approach, for…