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This paper investigates voltage stability in inverter-based power systems concerning fold and saddle-node bifurcations. An analytical expression is derived for the sensitivity of the stability margin using the normal vector to the…

Systems and Control · Electrical Eng. & Systems 2025-11-10 Sushobhan Chatterjee , Sijia Geng

Phase-amplitude coupling is a phenomenon observed in several neurological processes, where the phase of one signal modulates the amplitude of another signal with a distinct frequency. The modulation index (MI) is a common technique used to…

Methodology · Statistics 2023-10-10 Marco Antonio Pinto-Orellana , Hernando Ombao , Beth Lopour

The paper presents a collection of results on continuous dependence for solutions to nonlocal problems under perturbations of data and system parameters. The integral operators appearing in the systems capture interactions via heterogeneous…

Analysis of PDEs · Mathematics 2021-09-14 Nicole Buczkowski , Mikil Foss , Michael Parks , Petronela Radu

This work introduces the use of multivariate global sensitivity analysis for assessing the impact of uncertain electric machine design parameters on efficiency maps and profiles. Contrary to the common approach of applying variance-based…

Computational Engineering, Finance, and Science · Computer Science 2026-04-29 Aylar Partovizadeh , Sebastian Schöps , Dimitrios Loukrezis

Frequency responses of multi-degree-of-freedom mechanical systems with weak forcing and damping can be studied as perturbations from their conservative limit. Specifically, recent results show how bifurcations near resonances can be…

Dynamical Systems · Mathematics 2020-11-11 Mattia Cenedese , George Haller

Proportional-Integral-Derivative (PID) control has been the workhorse of control technology for about a century. Yet to this day, designing and tuning PID controllers relies mostly on either tabulated rules (Ziegler-Nichols) or on classical…

Optimization and Control · Mathematics 2023-11-21 Qi Mao , Yong Xu , Jianqi Chen , Jie Chen , Tryphon Georgiou

The ability to characterize the state of dynamic systems has been a pertinent task in the time series analysis community. Traditional measures such as Lyapunov exponents are often times difficult to recover from noisy data, especially if…

Signal Processing · Electrical Eng. & Systems 2020-12-21 Joshua Tempelman , Audun Myers , Jeffrey Scruggs , Firas Khasawneh

Accurate real-time assessment of power systems voltage stability has been an active area of research in the past few decades. In the past decade, after the development of phasor measurement units (PMU), a lot of discussions has been going…

Systems and Control · Electrical Eng. & Systems 2020-11-24 Gourav Wadhwa , Amandeep Kharb , Satyam Mishra , Mohit Kumar , Shreyansh Srivastav

A fast and accurate grid impedance measurement of three-phase power systems is crucial for online assessment of power system stability and adaptive control of grid-connected converters. Existing grid impedance measurement approaches…

Systems and Control · Electrical Eng. & Systems 2023-11-30 Verena Häberle , Linbin Huang , Xiuqiang He , Eduardo Prieto-Araujo , Roy S. Smith , Florian Dörfler

We apply the linear response theory developed in \cite{Ruelle} to analyze how a periodic signal of weak amplitude, superimposed upon a chaotic background, is transmitted in a network of non linearly interacting units. We numerically compute…

Statistical Mechanics · Physics 2009-11-10 B. Cessac , J. A. Sepulchre

Time domain identification is studied in this paper for parameters of a continuous-time multi-input multi-output descriptor system, with these parameters affecting system matrices through a linear fractional transformation. Sampling is…

Multiagent Systems · Computer Science 2025-06-17 Tong Zhou

Localized surface plasmon resonances possess very interesting properties for a wide variety of sensing applications. In many of the existing applications only the intensity of the reflected or transmitted signals is taken into account,…

Determinant Quantum Monte Carlo (DQMC) is used to study the effect of non-zero hopping t_f in the localized f-band of the periodic Anderson model (PAM) in two dimensions. The low temperature properties are determined in the plane of…

Strongly Correlated Electrons · Physics 2015-07-03 Axel Euverte , Simone Chiesa , Richard T. Scalettar , George G. Batrouni

We solve the problem of polaron localization on an attractive impurity by means of direct-space Diagrammatic Monte Carlo implemented for the system in the thermodynamic limit. In particular we determine the ground state phase diagram in…

Strongly Correlated Electrons · Physics 2015-05-13 A. S. Mishchenko , N. Nagaosa , A. Alvermann , H. Fehske , G. De Filippis , V. Cataudella , O. P. Sushkov

We calculate the properties of an acoustic polaron in three dimensions in thermal equilibrium at a given low temperature using the path integral Monte Carlo method. The specialized numerical method used is described in full details, thus…

Materials Science · Physics 2013-07-11 Riccardo Fantoni

Quasi-periodic oscillations (QPOs) are an important key to understand the dynamic behavior of astrophysical objects during transient events like gamma-ray bursts, solar flares, and magnetar flares. Searches for QPOs often use the…

High Energy Astrophysical Phenomena · Physics 2022-03-30 Moritz Huebner , Daniela Huppenkothen , Paul D. Lasky , Andrew R. Inglis

Understanding the dynamics of complex systems is a central task in many different areas ranging from biology via epidemics to economics and engineering. Unexpected behaviour of dynamic systems or even system failure is sometimes difficult…

Optimization and Control · Mathematics 2022-03-25 Dominik Kahl , Andreas Weber , Maik Kschischo

The stable tail dependence function provides a full characterization of the extremal dependence structures. Unfortunately, the estimation of the stable tail dependence function often suffers from significant bias, whose scale relates to the…

Methodology · Statistics 2022-12-19 Nan Zou

This article deals with detection of nonconstant long memory parameter in time series. The null hypothesis presumes stationary or nonstationary time series with constant long memory parameter, typically an I(d) series with d>-.5. The…

Statistics Theory · Mathematics 2012-10-01 Frédéric Lavancier , Remigijus Leipus , Anne Philippe , Donatas Surgailis

We discuss the determination of the $f_0(500)$ (or $\sigma$) resonance by analytic continuation through Pad\'e approximants of the $\pi\pi$-scattering amplitude from the physical region to the pole in the complex energy plane. The aim is to…

High Energy Physics - Phenomenology · Physics 2016-04-13 Irinel Caprini , Pere Masjuan , Jacobo Ruiz de Elvira , Juan José Sanz-Cillero