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Traditional centralized stability analysis struggles with scalability in large complex modern power grids. This two-part paper proposes a compositional and equilibrium-free approach to analyzing power system stability. In Part I, we prove…

Systems and Control · Electrical Eng. & Systems 2025-06-16 Peng Yang , Xiaoyu Peng , Xi Ru , Hua Geng , Feng Liu

The study of first-order optimization algorithms (FOA) typically starts with assumptions on the objective functions, most commonly smoothness and strong convexity. These metrics are used to tune the hyperparameters of FOA. We introduce a…

Machine Learning · Computer Science 2024-05-30 Charles Guille-Escuret , Baptiste Goujaud , Manuela Girotti , Ioannis Mitliagkas

This work studies the problem of simultaneously separating and reconstructing signals from compressively sensed linear mixtures. We assume that all source signals share a common sparse representation basis. The approach combines classical…

Information Theory · Computer Science 2015-05-30 Martin Kleinsteuber , Hao Shen

We study the problem of controlling oscillations in closed loop by combining positive and negative feedback in a mixed configuration. We develop a complete design procedure to set the relative strength of the two feedback loops to achieve…

Systems and Control · Electrical Eng. & Systems 2021-09-08 W. Che , F. Forni

Control systems are an integral part of almost every engineering and physical system and thus their accurate analysis is of utmost importance. Traditionally, control systems are analyzed using paper-and-pencil proof and computer simulation…

Logic in Computer Science · Computer Science 2017-07-24 Adnan Rashid , Osman Hasan

Bicoherence analysis is a well established method for identifying the quadratic nonlinearity of stationary processes. However, it is often applied without checking the basic assumptions of stationarity and convergence. The classic…

Signal Processing · Electrical Eng. & Systems 2018-11-08 Peter Zsolt Poloskei , Gergely Papp , Gabor Por , Laszlo Horvath , Gergo I. Pokol

We conjecture that the inherent difference in generalisation between adaptive and non-adaptive gradient methods in deep learning stems from the increased estimation noise in the flattest directions of the true loss surface. We demonstrate…

Machine Learning · Statistics 2022-03-17 Diego Granziol , Nicholas Baskerville

In this chapter some results related to Shunt Active Filters (SAFs) and obtained by the authors and some coauthors are reported. SAFs are complex power electronics equipments adopted to compensate for cur-rent harmonic pollution in electric…

Systems and Control · Computer Science 2011-08-08 Andrea Tilli , Lorenzo Marconi , Christian Conficoni

In this paper, a novel convexification approach for Small-Signal Stability Constraint Optimal Power Flow (SSSC-OPF) has been presented that does not rely on eigenvalue analysis. The proposed methodology is based on the sufficient condition…

Optimization and Control · Mathematics 2021-09-17 Parikshit Pareek , Hung D. Nguyen

This study presents a sampling-based method to guarantee robust stability of general control systems with uncertainty. The method allows the system dynamics and controllers to be represented by various data-driven models, such as Gaussian…

Optimization and Control · Mathematics 2025-04-11 Yuji Ito , Kenji Fujimoto

Dynamical models are often corrupted by model uncertainties, external disturbances, and measurement noise. These factors affect the performance of model-based observers and as a result, affect the closed-loop performance. Therefore, it is…

Systems and Control · Electrical Eng. & Systems 2023-06-14 Yasmine Marani , Ibrahima N'Doye , Taous-Meriem Laleg-Kirati

For a sound field observed on a sensor array, compressive sensing (CS) reconstructs the direction-of-arrival (DOA) of multiple sources using a sparsity constraint. The DOA estimation is posed as an underdetermined problem by expressing the…

Statistics Theory · Mathematics 2023-07-19 Peter Gerstoft , Angeliki Xenaki , Christoph F. Mecklenbräuker

Stochastic resonance (SR) is a prominent phenomenon in many natural and engineered noisy system, whereby the response to a periodic forcing is greatly amplified when the intensity of the noise is tuned to within a specific range of values.…

Statistical Mechanics · Physics 2019-12-25 Valerio Lucarini

This paper proposes a nonlinear, adaptive controller to increase the stability margin of a direct-current (DC) small-scale electrical network containing a constant power load, whose value is unknown. Due to their negative incremental…

Systems and Control · Computer Science 2018-09-14 Juan E. Machado , José Arocas-Pérez , Wei He , Romeo Ortega , Robert Griñó

We consider the problem of output feedback stabilization in linear systems when the measured outputs and control inputs are subject to event-triggered sampling and dynamic quantization. A new sampling algorithm is proposed for outputs which…

Dynamical Systems · Mathematics 2016-09-26 Aneel Tanwani , Christophe Prieur , Mirko Fiacchini

The passive superconducting harmonic cavity (PSHC) scheme is adopted by several existing and future synchrotron light source storage rings, as it has a relatively smaller R/Q and a relatively larger quality factor (Q), which can effectively…

Accelerator Physics · Physics 2023-11-23 Tianlong He , Weiwei Li , Zhenghe Bai , Weimin Li

The recently developed generalized Fourier-Galerkin method is complemented by a numerical continuation with respect to the kinetic energy, which extends the framework to the investigation of modal interactions resulting in folds of the…

Numerical Analysis · Mathematics 2021-01-07 Malte Krack , Lars Panning-von Scheidt , Jörg Wallaschek

We present the design and experimental proof of principle of a low threshold optical parametric oscillator (OPO) that continuously oscillates over a large bandwidth allowed by phase matching. The large oscillation bandwidth is achieved with…

Quantum Physics · Physics 2007-05-23 Avi Pe'er , Yaron Silberberg , Barak Dayan , Asher A. Friesem

Accurate state of charge (SOC) estimation is critical for ensuring the safety, reliability, and efficiency of lithium-ion batteries in electric vehicles and energy storage systems. Electrochemical models provide high fidelity for SOC…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Guangdi Hu , Keyi Liao , Jian Ye , Feng Guo

Linear Time Periodic (LTP) framework-based analysis of Voltage Source Converters (VSCs) is becoming popular, a driven factor is that many of the existing VSC applications inevitably exhibit the periodic steady-state (PSS), e.g., VSCs with…

Systems and Control · Electrical Eng. & Systems 2021-12-06 Chen Zhang , Jon Are Suul , Marta Molinas