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Related papers: Data-Driven Identification of Rayleigh-Damped Seco…

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Two-dimensional thin plates are widely used in many applications. Shunt damping is a promising way for the attenuation of vibration of these electromechanical systems. It enables a compact vibration damping method without adding significant…

Computational Geometry · Computer Science 2021-03-25 Peyman Lahe Motlagh , Ipek Basdogana

One of the methods to find the natural frequencies of rotating systems is the application of the transfer matrix method. In this method the rotor is modeled as several elements along the shaft which have their own mass and moment of…

We consider the problem of identifying a dissipative linear model of an unknown nonlinear system that is known to be dissipative, from time domain input-output data. We first learn an approximate linear model of the nonlinear system using…

Systems and Control · Electrical Eng. & Systems 2019-07-31 S. Sivaranjani , Etika Agarwal , Vijay Gupta

In the inelastic time history analyses of structures in seismic motion, part of the seismic energy that is imparted to the structure is absorbed by the inelastic structural model, and Rayleigh damping is commonly used in practice as an…

Classical Physics · Physics 2013-09-12 Pierre Jehel , Pierre Léger , Adnan Ibrahimbegovic

A heterogeneous Cauchy elastic material may display micromechanical effects that can be modeled in a homogeneous equivalent material through the introduction of higher-order elastic continua. Asymptotic homogenization techniques provide an…

Computational Physics · Physics 2018-04-20 A. Bacigalupo , M. Paggi , F. Dal Corso , D. Bigoni

Recently non-linear control methods like Model Predictive Control (MPC) and Reinforcement Learning (RL) have attracted increased interest in the quadrotor control community. In contrast to classic control methods like cascaded PID…

Robotics · Computer Science 2024-09-25 Jonas Eschmann , Dario Albani , Giuseppe Loianno

We analyze the statistical performance of identification of stochastic dynamical systems with non-linear measurement sensors. This includes stochastic Wiener systems, with linear dynamics, process noise and measured by a non-linear sensor…

Optimization and Control · Mathematics 2018-05-24 Bo Wahlberg , Lennart Ljung

We consider frequency-weighted damping optimization for vibrating systems described by a second-order differential equation. The goal is to determine viscosity values such that eigenvalues are kept away from certain undesirable areas on the…

Numerical Analysis · Mathematics 2021-04-12 Nevena Jakovcevic Stor , Tim Mitchell , Zoran Tomljanovic , Matea Ugrica

Dynamic mode decomposition has emerged as a leading technique to identify spatiotemporal coherent structures from high-dimensional data, benefiting from a strong connection to nonlinear dynamical systems via the Koopman operator. In this…

Systems and Control · Computer Science 2017-12-01 Zhe Bai , Eurika Kaiser , Joshua L. Proctor , J. Nathan Kutz , Steven L. Brunton

The increase in system complexity paired with a growing availability of operational data has motivated a change in the traditional control design paradigm. Instead of modeling the system by first principles and then proceeding with a…

Optimization and Control · Mathematics 2020-10-06 Juan G. Rueda-Escobedo , Johannes Schiffer

Teaching by direct models in science has been weakening the learning process of the students, because the real problems in engineering are not solved by direct models instead commonly they are solved by inverse models. On the other hand,…

Physics Education · Physics 2019-08-09 K. L. Cristiano , D. A. Triana , R. Ortiz , A. F. Estupiñán

Predicting flutter remains a key challenge in aeroelastic research, with certain models relying on modal parameters, such as natural frequencies and damping ratios. These models are particularly useful in early design stages or for the…

Systems and Control · Electrical Eng. & Systems 2025-05-19 Gabriele Dessena , Alessandro Pontillo , Marco Civera , Dmitry I. Ignatyev , James F. Whidborne , Luca Zanotti Fragonara

We propose a novel differentiable physics engine for system identification of complex spring-rod assemblies. Unlike black-box data-driven methods for learning the evolution of a dynamical system and its parameters, we modularize the design…

Robotics · Computer Science 2020-04-30 Kun Wang , Mridul Aanjaneya , Kostas Bekris

For dynamical systems that can be modelled as asymptotically stable linear systems forced by Gaussian noise, this paper develops methods to infer or estimate their modes from observations in real time. The modes can be real or complex. For…

Machine Learning · Statistics 2019-10-30 Robert S. MacKay

Discovering the governing equations of a physical system and designing an effective feedback controller remains one of the most challenging and intensive areas of ongoing research. This task demands a deep understanding of the system…

Machine Learning · Computer Science 2025-08-20 Lakshmi Priya P. K. , Andreas Schwung

To address the magnetization dynamics in ferromagnetic materials described by the Landau-Lifshitz-Gilbert equation under large damping parameters, a third-order accurate numerical scheme is developed by building upon a second-order method…

Numerical Analysis · Mathematics 2025-10-31 Changjian Xie , Cheng Wang

This paper studies the data-driven balanced truncation (BT) method for second-order systems based on the measurements in the frequency domain. The basic idea is to approximate Gramians used the numerical quadrature rules, and establish the…

Numerical Analysis · Mathematics 2025-06-05 Xiaolong Wang , Xuerong Yang , Xiaoli Wang , Bo Song

In the present paper, two existing nonlinear system identification methodologies are used to identify data-driven models. The first methodology focuses on identifying the system using steady-state excitations. To accomplish this, a…

Systems and Control · Electrical Eng. & Systems 2020-11-18 Maren Scheel , Gleb Kleyman , Ali Tatar , Matthew R. W. Brake , Simon Peter , Jean-Philippe Noël , Matthew S. Allen , Malte Krack

This paper reports an initial work on power system oscillation damping improvement using a data-driven online optimization method. An online oscillation damping optimization mod-el is proposed and formulated in a form solvable by the…

Optimization and Control · Mathematics 2019-01-14 Zhihao Chen , Hanchen Xu , Junbo Zhang , Lin Guan

We present a second-order gradient analysis of light transport in participating media and use this to develop an improved radiance caching algorithm for volumetric light transport. We adaptively sample and interpolate radiance from sparse…

Graphics · Computer Science 2018-05-24 Julio Marco , Adrian Jarabo , Wojciech Jarosz , Diego Gutierrez