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A harmonic oscillator with time-dependent mass $m(t)$ and a time-dependent (squared) frequency $\omega^2(t)$ occurs in the modelling of several physical systems. It is generally believed that systems, with $m(t)>0$ and $\omega^2(t)>0$…

General Relativity and Quantum Cosmology · Physics 2018-08-23 Karthik Rajeev , Sumanta Chakraborty , T. Padmanabhan

This paper presents an algorithm to geometrically characterize inertial parameter identifiability for an articulated robot. The geometric approach tests identifiability across the infinite space of configurations using only a finite set of…

Robotics · Computer Science 2023-09-21 Patrick M. Wensing , Günter Niemeyer , Jean-Jacques E. Slotine

The system identification problem is to estimate dynamical parameters from the output data, obtained by performing measurements on the output fields. We investigate system identification for quantum linear systems. Our main objectives are…

Quantum Physics · Physics 2017-12-25 Matthew Levitt , Mădălin Guţă , Theodore Kypraios

We extend the recently introduced regularization/Bayesian System Identification procedures to the estimation of time-varying systems. Specifically, we consider an online setting, in which new data become available at given time steps. The…

Systems and Control · Computer Science 2016-09-26 Giulia Prando , Diego Romeres , Alessandro Chiuso

Unidirectionally coupled dynamical system is studied by focusing on the input (or boundary) dependence. Due to convective instability, noise at an up-flow is spatially amplified to form an oscillation. The response, given by the down-flow…

chao-dyn · Physics 2009-10-31 Koichi Fujimoto , Kunihiko Kaneko

The non-evanescent vibration, evanescent vibration and forced vibration of an oscillator attached to the massless spring are always discussed in general mechanics courses. In this article, we focus on the heavy-spring conditions. We first…

Classical Physics · Physics 2015-05-15 Youtian Zhang

Fast and Relaxed Vector Fitting (FRVF) is a frequency-domain system identification approach that has been widely adopted in electrical system modelling, while its application to mechanical systems has remained relatively unexplored. In this…

Signal Processing · Electrical Eng. & Systems 2026-05-18 Beatrice E. Bauret Martínez , Gabriele Dessena , Marco Civera , Oscar E. Bonilla-Manrique

In this work, we propose a new detector function based on wavelet transform to discriminate between turbulent and non-turbulent regions in an intermittent velocity signal. The derivative-based detector function, which is commonly used in…

Fluid Dynamics · Physics 2023-01-02 Satyajit De , Aditya Anand , Sourabh S. Diwan

We propose a time-adaptive predictor/multi-corrector method to solve hyperbolic partial differential equations, based on the generalized-$\alpha$ scheme that provides user-control on the numerical dissipation and second-order accuracy in…

Numerical Analysis · Mathematics 2022-10-11 Nicolas A. Labanda , Pouria Behnoudfar , Victor M. Calo

The rich entanglement dynamics and transitions exhibited by monitored quantum systems typically only exist in the conditional state, making observation extremely difficult. In this work we construct a general recipe for mimicking the…

Quantum Physics · Physics 2024-11-22 Yu-Xin Wang , Alireza Seif , Aashish A. Clerk

This paper proposes new practical design tools for the robust motion control systems based on disturbance observer (DOB). Although DOB has long been used in several motion control applications, it has insufficient analysis and design tools.…

Systems and Control · Electrical Eng. & Systems 2021-05-04 Emre Sariyildiz , Kouhei Ohnishi

The Frequency Response Functions (FRFs) are the most widely used functions to characterise the dynamic behaviour of structures. The natural frequencies and damping behaviour can be easily and quickly detected from a Bode diagram. The modal…

Classical Physics · Physics 2024-04-09 Dario Di Maio

Location of non-stationary forced oscillation (FO) sources can be a challenging task, especially in cases under resonance condition with natural system modes, where the magnitudes of the oscillations could be greater in places far from the…

Systems and Control · Electrical Eng. & Systems 2022-03-22 Pablo Gill Estevez , Pablo Marchi , Francisco Messina , Cecilia Galarza

Time delay is ubiquitous in many experimental and real-world situations. It is often unclear whether time delay plays a significant role in observed phenomena, and if it does, how long the time lag really is. This would be invaluable…

Data Analysis, Statistics and Probability · Physics 2025-12-10 Robin A. Kopp , Sabine H. L. Klapp , Deepak Gupta

A structural classification method of vibro-impact systems with an arbitrary finite number of degrees of freedom based on the principles given by Blazejczyk-Okolewska et al. [Blazejczyk- Okolewska B., Czolczynski K., Kapitaniak T.,…

Chaotic Dynamics · Physics 2012-12-04 Barbara Blazejczyk-Okolewska

The concept of a common modulated oscillation spanning multiple time series is formalized, a method for the recovery of such a signal from potentially noisy observations is proposed, and the time-varying bias properties of the recovery…

Methodology · Statistics 2015-05-27 Jonathan M. Lilly , Sofia C. Olhede

This study explores an inertial-based contraction-type approach for addressing monotone variational inclusion problems (in short, MVIP) within real Hilbert spaces. Most contraction-type techniques assume Lipschitz continuity and…

Optimization and Control · Mathematics 2026-04-09 Feeroz Babu , Syed Shakaib Irfan , Jen-Chih Yao , Xiaopeng Zhao

Multivariable parametric models are essential for optimizing the performance of high-tech systems. The main objective of this paper is to develop an identification strategy that provides accurate parametric models for complex multivariable…

Systems and Control · Electrical Eng. & Systems 2025-03-05 M. van der Hulst , R. A. González , K. Classens , P. Tacx , N. Dirkx , J. van de Wijdeven , T. Oomen

This contribution deals with identification of fractional-order dynamical systems. We consider systems whose mathematical description is a three-member differential equation in which the orders of derivatives can be real numbers. We give a…

Optimization and Control · Mathematics 2007-05-23 L. Dorcak , V. Lesko , I. Kostial

This paper derives the causal time-response functions of three-parameter mechanical networks that have been reported in the literature and involve the inerter-a two-node element in which the force-output is proportional to the relative…

Classical Physics · Physics 2019-10-16 Nicos Makris