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The support recovery problem consists of determining a sparse subset of variables that is relevant in generating a set of observations. In this paper, we study the support recovery problem in the phase retrieval model consisting of noisy…

信息论 · 计算机科学 2020-09-29 Lan V. Truong , Jonathan Scarlett

The aggressive integration of distributed renewable sources is changing the dynamics of the electric power grid in an unexpected manner. As a result, maintaining conventional performance specifications, such as transient stability, may not…

最优化与控制 · 数学 2018-06-14 Liviu Aolaritei , Dongchan Lee , Thanh Long Vu , Konstantin Turitsyn

We propose numerical algorithms for recovering parameters in eigenvalue problems for linear elasticity of transversely isotropic materials. Specifically, the algorithms are used to recover the elastic constants of a rotor core. Numerical…

This work provides formal safety guarantees for control systems with disturbance. A disturbance observer-based robust safety-critical controller is proposed, that estimates the effect of the disturbance on safety and utilizes this estimate…

系统与控制 · 电气工程与系统科学 2023-01-05 Anil Alan , Tamas G. Molnar , Ersin Das , Aaron D. Ames , Gabor Orosz

The wide deployment of renewable generation and the gradual decrease in the overall system inertia make modern power grids more vulnerable to transient instabilities and unacceptable frequency fluctuations. Time-domain simulation-based…

最优化与控制 · 数学 2020-03-03 Dongchan Lee , Liviu Aolaritei , Thanh Long Vu , Konstantin Turitsyn

This paper studies the problem of parameter estimation in resonant, acoustic fluid-structure interaction problems over a wide frequency range. Problems with multiple resonances are known to be subjected to local minima, which represents a…

计算物理 · 物理学 2019-03-06 Peter Göransson , Jacques Cuenca , Timo Lähivaara

The objective of this work is to quantify the reconstruction error in sparse inverse problems with measures and stochastic noise, motivated by optimal sensor placement. To be useful in this context, the error quantities must be explicit in…

数值分析 · 数学 2024-04-19 Phuoc-Truong Huynh , Konstantin Pieper , Daniel Walter

We study the basic problem of robust subspace recovery. That is, we assume a data set that some of its points are sampled around a fixed subspace and the rest of them are spread in the whole ambient space, and we aim to recover the fixed…

机器学习 · 统计学 2015-03-19 Teng Zhang , Gilad Lerman

The paper considers recovery of signals from incomplete observations and a problem of determination of the allowed quantity of missed observations, i.e. the problem of determination of the size of the uniqueness sets for a given data…

信息论 · 计算机科学 2022-07-20 Nikolai Dokuchaev

The notion of a part of phase space containing desired (or allowed) states of a dynamical system is important in a wide range of complex systems research. It has been called the safe operating space, the viability kernel or the sunny…

适应与自组织系统 · 物理学 2016-07-15 Frank Hellmann , Paul Schultz , Carsten Grabow , Jobst Heitzig , Jürgen Kurths

A new method for the stability assessment of inverter-based microgrids is presented in this paper. Directly determining stability boundaries by searching the multidimensional space of inverters' droop gains is a computationally prohibitive…

系统与控制 · 电气工程与系统科学 2021-11-02 Andrey Gorbunov , Jimmy Chih-Hsien Peng , Janusz W. Bialek , Petr Vorobev

Electric power networks are critical lifelines, and their disruption during earthquakes can lead to severe cascading failures and significantly hinder post-disaster recovery. Enhancing their seismic resilience requires identifying and…

系统与控制 · 电气工程与系统科学 2025-08-12 Huangbin Liang , Beatriz Moya , Francisco Chinesta , Eleni Chatzi

Developing models and metrics that can address resilience against disruptions is vital to ensure power grid reliability and that adequate recovery and adaptation mechanisms are in place. In this paper, we propose a novel disruption mapping…

系统与控制 · 电气工程与系统科学 2022-07-19 Maureen S. Golan , Javad Mohammadi

We examine robust output feedback control of discrete-time nonlinear systems with bounded uncertainties affecting the dynamics and measurements. Specifically, we demonstrate how to construct semi-infinite programs that produce gains to…

系统与控制 · 电气工程与系统科学 2024-09-16 Jad Wehbeh , Eric C. Kerrigan

In high-renewable power systems, active-power disturbances are becoming larger and exhibit increasingly diverse time scales, which complicates frequency stability assessment under unanticipated events. This paper presents a response-based…

系统与控制 · 电气工程与系统科学 2025-11-27 Jinhui Chen , Huadong Sun , Ping Wu , Baocai Wang , Bing Zhao

We introduce the dynamics mode decomposition for monitoring wide-area power grid networks from sparse measurement data. The mathematical framework fuses data from multiple sensors based on multivariate statistics, providing accurate full…

斑图形成与孤子 · 物理学 2019-06-11 J. Jorge Ramos , J. Nathan Kutz

For a timely decarbonization of our economy, power systems need to accommodate increasing numbers of clean but stochastic resources. This requires new operational methods that internalize this stochasticity to ensure safety and efficiency.…

最优化与控制 · 数学 2024-04-02 Robert Mieth , H. Vincent Poor

This guide provides a reference for high-probability regret bounds in empirical risk minimization (ERM). The presentation is modular: we begin with intuition and general proof strategies, then state broadly applicable guarantees under…

机器学习 · 统计学 2026-03-04 Lars van der Laan

With the increase of uncertain and intermittent renewable energy supply on the grid, the power system has become more vulnerable to instability. In this paper, we develop a demand response strategy to improve power system small-signal…

系统与控制 · 电气工程与系统科学 2023-04-17 Mengqi Yao , Sandip Roy , Johanna L. Mathieu

With the increasing penetration of Inverter-Based Resources (IBRs) and their impact on power system stability and operation, the concept of stability-constrained optimization has drawn significant attention from researchers. In order to…

系统与控制 · 电气工程与系统科学 2024-04-23 Zhongda Chu , Fei Teng