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Under the frequency domain framework for weakly dependent functional time series, a key element is the spectral density kernel which encapsulates the second-order dynamics of the process. We propose a class of spectral density kernel…

Statistics Theory · Mathematics 2018-12-11 Tingyi Zhu , Dimitris N. Politis

We propose an adaptive non-uniform sampling framework for bandlimited signals based on an algorithm-encoder co-design perspective. By revisiting the convergence analysis of iterative reconstruction algorithms for non-uniform measurements,…

Signal Processing · Electrical Eng. & Systems 2026-01-23 Kaluguri Yashaswini , Anshu Arora , Satish Mulleti

When the order of an integrator is a complex number, the integrator is called a complex fractional order integrator (CFOI). The impulse response invariant discretization (IRID) method is proposed to approximately discretize the CFOI. The…

Systems and Control · Electrical Eng. & Systems 2019-11-19 Zhenlong Wu , YangQuan Chen , Donghai Li

A dynamic phasor (DP) framework for time-domain and frequency-domain analyses of grid-forming converters (GFCs) connected to series-compensated transmission lines is proposed. The proposed framework can capture the behavior of GFCs…

Systems and Control · Electrical Eng. & Systems 2025-05-26 Fiaz Hossain , Nilanjan Ray Chaudhuri

Quantum harmonic oscillators serve as fundamental building blocks for quantum information processing, particularly in the context of the bosonic circuit quantum electrodynamics (cQED) platform. Conventional methods for extracting oscillator…

The earlier work of the author on Frequency estimation in three-phase power systems ( that is included as the reference number 1) is expanded to the distributed setting in order present a framework for the implementation of such a frequency…

Applications · Statistics 2016-03-31 Sayed Pouria Talebi

Power systems are highly complex, large-scale engineering systems subject to many uncertainties, which makes accurate mathematical modeling challenging. This paper proposes a novel, centralized dynamic state estimator for power systems that…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Milos Katanic , John Lygeros , Gabriela Hug

In the analysis of real-world data, extracting meaningful features from signals is a crucial task. This is particularly challenging when signals contain non-stationary frequency components. The Iterative Filtering (IF) method has proven to…

Numerical Analysis · Mathematics 2026-04-01 Giuseppe Scarlato , Antonio Cicone , Marco Donatelli

We introduce a new variant of Quantum Amplitude Estimation (QAE), called Iterative QAE (IQAE), which does not rely on Quantum Phase Estimation (QPE) but is only based on Grover's Algorithm, which reduces the required number of qubits and…

Quantum Physics · Physics 2021-04-20 Dmitry Grinko , Julien Gacon , Christa Zoufal , Stefan Woerner

In practical applications, the efficacy of a control algorithm relies critically on the accurate knowledge of the parameters and states of the underlying system. However, obtaining these quantities in practice is often challenging. Adaptive…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Anchita Dey , Soutrik Bandyopadhyay , Shubhendu Bhasin

A simple procedure for the design of recursive digital filters with an infinite impulse response (IIR) and non-recursive digital filters with a finite impulse response (FIR) is described. The fixed-lag smoothing filters are designed to…

Signal Processing · Electrical Eng. & Systems 2025-07-22 Hugh Lachlan Kennedy

We investigate the use of iterated function system (IFS) models for data analysis. An IFS is a discrete dynamical system in which each time step corresponds to the application of one of a finite collection of maps. The maps, which represent…

Dynamical Systems · Mathematics 2013-05-01 Zachary Alexander , Elizabeth Bradley , Joshua Garland , James D. Meiss

Quasi-dynamic energy flow calculation is an indispensable tool for the heat and electricity integrated energy system (HE-IES) analysis. One solves the nonlinear partial differential algebraic equations to obtain thermal, hydraulic and…

Systems and Control · Electrical Eng. & Systems 2022-09-27 Ruizhi Yu , Wei Gu

Ion Cyclotron Emission (ICE) is a ubiquitous magnetised plasma phenomenon previously detected on virtually all large magnetic fusion devices and whose diagnostic potential for future power plants rests upon an accurate mapping of plasma…

Plasma Physics · Physics 2026-05-19 Ethan Attwood , J. W. S. Cook , Peter Hill

Dynamic systems are ubiquitous in nature and are used to model many processes in biology, chemistry, physics, medicine, and engineering. In particular, systems of ordinary differential equations are commonly used for the mathematical…

Statistics Theory · Mathematics 2016-02-19 Ivan Vujačić , Itai Dattner

Instantaneous quantum computing is a sub-universal quantum complexity class, whose circuits have proven to be hard to simulate classically in the Discrete-Variable (DV) realm. We extend this proof to the Continuous-Variable (CV) domain by…

Quantum Physics · Physics 2017-02-21 T. Douce , D. Markham , E. Kashefi , E. Diamanti , T. Coudreau , P. Milman , P. van Loock , G. Ferrini

An exact series representation of the even frequency moments of the dynamic structure factor is derived. Truncations are proposed that allow to evaluate the explicitly unknown second, fourth and fifth frequency moments for the finite…

Plasma Physics · Physics 2025-06-13 Panagiotis Tolias , Jan Vorberger , Tobias Dornheim

Locally stationary Hawkes processes have been introduced in order to generalise classical Hawkes processes away from stationarity by allowing for a time-varying second-order structure. This class of self-exciting point processes has…

Statistics Theory · Mathematics 2018-01-31 François Roueff , Rainer Von Sachs

We prove integrated local energy decay for solutions of the damped wave equation with time-dependent damping satisfying an appropriate generalization of the geometric control condition on asymptotically flat, stationary space-times. We…

Analysis of PDEs · Mathematics 2025-11-10 Perry Kleinhenz , Michael McNulty

Continuous-time random disturbances (also called stochastic excitations) due to increasing renewable generation have an increasing impact on power system dynamics; However, except from the Monte Carlo simulation, most existing methods for…

Optimization and Control · Mathematics 2020-07-07 Yiwei Qiu , Jin Lin , Xiaoshuang Chen , Feng Liu , Yonghua Song