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This work presents a simulation-based comparative robustness analysis of Incremental Nonlinear Dynamic Inversion (INDI) and Nonlinear Dynamic Inversion augmented with a nonlinear disturbance observer (NDI+NDO) for fully actuated aerial…

Robotics · Computer Science 2026-05-08 Benedetta Rota , Mirko Mizzoni , Amr Afifi , Pieter van Goor , Antonio Franchi

The combination of machine learning (ML) and sparsity-promoting techniques is enabling direct extraction of governing equations from data, revolutionizing computational modeling in diverse fields of science and engineering. The discovered…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Mohammad Amin Basiri , Sina Khanmohammadi

We propose a novel data-driven method called QENDy (Quadratic Embedding of Nonlinear Dynamics) that not only allows us to learn quadratic representations of highly nonlinear dynamical systems, but also to identify the governing equations.…

Dynamical Systems · Mathematics 2025-09-25 Stefan Klus , Joel-Pascal Ntwali N'konzi

Many dynamical systems exhibit oscillatory behavior that can be modeled with differential equations. Recently, these equations have increasingly been derived through data-driven methods, including the transparent technique known as Sparse…

Adaptation and Self-Organizing Systems · Physics 2024-07-03 Bartosz Prokop , Nikita Frolov , Lendert Gelens

Identifying governing equations from data is a critical step in the modeling and control of complex dynamical systems. Here, we investigate the data-driven identification of nonlinear dynamical systems with inputs and forcing using…

Dynamical Systems · Mathematics 2016-05-24 Steven L. Brunton , Joshua L. Proctor , J. Nathan Kutz

Many dynamical systems of interest are nonlinear, with examples in turbulence, epidemiology, neuroscience, and finance, making them difficult to control using linear approaches. Model predictive control (MPC) is a powerful model-based…

Optimization and Control · Mathematics 2021-08-31 Urban Fasel , Eurika Kaiser , J. Nathan Kutz , Bingni W. Brunton , Steven L. Brunton

We present AC-SINDy, a compositional extension of the Sparse Identification of Nonlinear Dynamics (SINDy) framework that replaces explicit feature libraries with a structured representation based on arithmetic circuits. Rather than…

Machine Learning · Computer Science 2026-04-22 Peter Racioppo

We apply a reinforcement meta-learning framework to optimize an integrated and adaptive guidance and flight control system for an air-to-air missile. The system is implemented as a policy that maps navigation system outputs directly to…

Systems and Control · Electrical Eng. & Systems 2022-05-05 Brian Gaudet , Roberto Furfaro

Rheology plays a pivotal role in understanding the flow behavior of fluids by discovering governing equations that relate deformation and stress, known as constitutive equations. Despite the importance of these equations, current methods…

Soft Condensed Matter · Physics 2024-12-06 Takeshi Sato , Souta Miyamoto , Shota Kato

Many low-mass stars like the Sun host periodic, oscillatory magnetic fields that lead to variable levels of stellar activity, driving space weather that affects the habitability and detection of exoplanets. Owing to the intrinsic difficulty…

Solar and Stellar Astrophysics · Physics 2026-04-01 Anna Guseva , Calum Skene , Steve Tobias

In this paper we consider trajectory tracking problem for robotic systems affected by unknown external perturbations. Considering possible solutions, we restrict our attention to composite adaptation, which, particularly, ensures parametric…

Systems and Control · Electrical Eng. & Systems 2024-07-01 Anton Glushchenko , Konstantin Lastochkin

The development of safe and reliable autonomous unmanned aerial vehicles relies on the ability of the system to recognise and adapt to changes in the local environment based on sensor inputs. State-of-the-art local tracking and trajectory…

Robotics · Computer Science 2025-02-12 Andrea Albanese , Yanran Wang , Davide Brunelli , David Boyle

All-sky OH airglow imaging provides two-dimensional observations of mesospheric gravity wave structure near ~87 km altitude. Ripple-scale instability signatures, characterized by 5-15 km horizontal wavelengths and short lifetimes, are…

Atmospheric and Oceanic Physics · Physics 2026-05-13 Jiahui Hu , Alan Liu , Adriana Feener , Jing Li , Tao Li , Wenjun Dong

Autonomous drone navigation faces a critical challenge in achieving accurate landings on dynamic platforms, especially under unpredictable conditions such as wind turbulence. Our research introduces TornadoDrone, a novel Deep Reinforcement…

Robotics · Computer Science 2024-06-26 Robinroy Peter , Lavanya Ratnabala , Demetros Aschu , Aleksey Fedoseev , Dzmitry Tsetserukou

Atmospheric modeling has recently experienced a surge with the advent of deep learning. Most of these models, however, predict concentrations of pollutants following a data-driven approach in which the physical laws that govern their…

Applications · Statistics 2021-07-08 Javier Rubio-Herrero , Carlos Ortiz Marrero , Wai-Tong Louis Fan

The Weak-form Sparse Identification of Nonlinear Dynamics algorithm (WSINDy) has been demonstrated to offer coarse-graining capabilities in the context of interacting particle systems (https://doi.org/10.1016/j.physd.2022.133406). In this…

Computational Physics · Physics 2023-12-04 Daniel A. Messenger , Joshua W. Burby , David M. Bortz

Many unmanned aerial vehicles (UAVs) can remain aerodynamically flyable after sustaining structural or control surface damage, yet insufficient robustness in conventional autopilots often leads to mission failure. This paper proposes a…

Systems and Control · Electrical Eng. & Systems 2026-04-27 Mark Spiller , Lennart Kracke , Johannes Autenrieb

Aerial manipulation (AM) expands UAV capabilities beyond passive observation to contact-based operations at high altitudes and in otherwise inaccessible environments. Although recent advances show promise, most AM systems are developed in…

Robotics · Computer Science 2026-03-10 Yiming Zhang , Junyi Geng

A general framework for recovering drift and diffusion dynamics from sampled trajectories is presented for the first time for stochastic delay differential equations. The core relies on the well-established SINDy algorithm for the sparse…

Numerical Analysis · Mathematics 2025-08-06 Dimitri Breda , Dajana Conte , Raffaele D'Ambrosio , Ida Santaniello , Muhammad Tanveer

Data normalisation, a common and often necessary preprocessing step in engineering and scientific applications, can severely distort the discovery of governing equations by magnitudebased sparse regression methods. This issue is…

Machine Learning · Computer Science 2026-03-06 Jay Raut , Daniel N. Wilke , Stephan Schmidt
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