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We present an algorithmic framework for the identification of candidate invariant subspaces for switched linear systems. Namely, the framework allows to compute an orthonormal basis in which the matrices of the system are close to…

Optimization and Control · Mathematics 2022-09-13 Guillaume O. Berger , Raphaël M. Jungers , Zheming Wang

We consider the problem of controlling the frequency of low-inertia power systems via inverter-based resources (IBRs) that are weakly connected to the grid. We propose a novel grid-forming control strategy, the so-called frequency shaping…

Optimization and Control · Mathematics 2022-12-20 Bala Kameshwar Poolla , Yashen Lin , Andrey Bernstein , Enrique Mallada , Dominic Groß

Spectral inversion codes are powerful tools to analyze spectropolarimetric observations, and they provide important diagnostics of solar magnetic fields. Inversion codes differ by numerical procedures, approximations of the atmospheric…

Solar and Stellar Astrophysics · Physics 2015-06-04 H. Balthasar , M. L. Demidov

An extended data set of extreme ultraviolet images of the solar corona provided by the SOHO spacecraft are analyzed using statistical methods common to studies of self-organized criticality (SOC) and intermittent turbulence (IT). The data…

Astrophysics · Physics 2008-11-26 Vadim M. Uritsky , Maya Paczuski , Joseph M. Davila , Shaela I. Jones

Symmetry in mixed quantum states can manifest in two distinct forms: strong symmetry, where each individual pure state in the quantum ensemble is symmetric with the same charge, and weak symmetry, which applies only to the entire ensemble.…

Quantum Physics · Physics 2025-03-11 Leonardo A. Lessa , Ruochen Ma , Jian-Hao Zhang , Zhen Bi , Meng Cheng , Chong Wang

Dark Scattering (DS) is an interacting dark energy model characterised by pure momentum exchange between dark energy and dark matter. It is phenomenologically interesting because it is unconstrained by CMB data and can alleviate the $S_8$…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-03 M. Tsedrik , S. Lee , K. Markovic , P. Carrilho , A. Pourtsidou , C. Moretti , B. Bose , E. Huff , A. Robertson , P. L. Taylor , J. Zuntz

Due to the energy crisis and environmental pollution, the installed capacity of inverter-based resources (IBRs) in power grids is rapidly increasing, and grid-following control (GFL) is the most prevalent at present. Meanwhile, grid-forming…

Systems and Control · Electrical Eng. & Systems 2024-02-05 Yinhong Lin , Bin Wang , Qinglai Guo , Haotian Zhao , Hongbin Sun

In-body subnetworks (IBS) are envisioned to support reliable wireless connectivity for emerging applications including extended reality (XR) in the human body. As the deployment of in-body sub-networks is uncontrollable by nature, the…

Information Theory · Computer Science 2024-03-19 Saeed Bagherinejad , Thomas Jacobsen , Nuno K. Pratas , Ramoni O. Adeogun

Recent advances in the description of compact binary systems have produced gravitational waveforms that include inspiral, merger and ring-down phases. Comparing results from numerical simulations with those of post-Newtonian (PN), and…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Chad Hanna , Miguel Megevand , Evan Ochsner , Carlos Palenzuela

The electrical grid is evolving from a network consisting of mostly synchronous machines to a mixture of synchronous machines and inverter-based resources such as wind, solar, and energy storage. This transformation has led to a decrease in…

Systems and Control · Electrical Eng. & Systems 2020-07-29 Atinuke Ademola-Idowu , Baosen Zhang

Impedance models are widely used in assessing small signal stability of grid-tied voltage source converter (VSC) systems. Recent research has proven that impedance models of grid-tied VSC in both dq and sequence domains are generally…

Systems and Control · Computer Science 2017-04-14 Chen Zhang , Xu Cai , Atle Rygg , Marta Molinas

Oscillator models are central to the study of system properties such as entrainment or synchronization. Due to their nonlinear nature, few system-theoretic tools exist to analyze those models. The paper develops a sensitivity analysis for…

Dynamical Systems · Mathematics 2024-05-03 Pierre Sacré , Rodolphe Sepulchre

Data centers host a variety of essential services such as cloud computing and artificial intelligence. Electric grid operators, however, have limited knowledge of the reliability risks of data center interconnection due to their unique…

Systems and Control · Electrical Eng. & Systems 2025-11-19 Grant Ruan , Marija D. Ilic , Le Xie

This study investigates the dynamical effects of particles orbiting a celestial body in rotating Simpson-Visser (RSV) spacetime. The results show that, compared to Kerr and rotating regular black holes, the innermost stable circular orbit…

General Relativity and Quantum Cosmology · Physics 2025-01-29 Shining Yang , Jianbo Lu , Xinping Yu , Jingyang Xu

We develop unified theory and methodology for the inference of evolutionary Fourier power spectra for a general class of locally stationary and possibly nonlinear processes. In particular, simultaneous confidence regions (SCR) with…

Statistics Theory · Mathematics 2020-04-20 Jun Yang , Zhou Zhou

This paper investigates multiuser multi-input single-output downlink symbiotic radio communication systems assisted by an intelligent reflecting surface (IRS). Different from existing methods ideally assuming the secondary user (SU) can…

Information Theory · Computer Science 2021-10-22 Shaokang Hu , Chang Liu , Zhiqiang Wei , Yuanxin Cai , Derrick Wing Kwan Ng , Jinhong Yuan

Digital quantum computers have the potential to simulate complex quantum systems. The spin-boson model is one of such systems, used in disparate physical domains. Importantly, in a number of setups, the spin-boson model is open, i.e. the…

Quantum Physics · Physics 2022-12-21 Andreas Burger , Leong Chuan Kwek , Dario Poletti

During slow-wave sleep, the brain is in a self-organized regime in which slow oscillations (SOs) between up- and down-states travel across the cortex. While an isolated piece of cortex can produce SOs, the brain-wide propagation of these…

Neurons and Cognition · Quantitative Biology 2021-11-02 Caglar Cakan , Cristiana Dimulescu , Liliia Khakimova , Daniela Obst , Agnes Flöel , Klaus Obermayer

Continuum reverberation mapping (CRM) of active galactic nuclei (AGN) monitors multiwavelength variability signatures to constrain accretion disk structure and supermassive black hole (SMBH) properties. The upcoming Vera Rubin Observatory's…

Spectrum sensing (SS) in cognitive radio (CR) systems is of paramount importance to approach the capacity limits for the Secondary Users (SU), while ensuring the undisturbed transmission of Primary Users (PU). In this paper, we formulate a…

Optimization and Control · Mathematics 2013-04-01 Saeed Bagheri , Anna Scaglione