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In this paper, we numerically address the inverse problem of identifying a time-dependent coefficient in the time-fractional diffusion equation. An a priori estimate is established to ensure uniqueness and stability of the solution. A fully…

Numerical Analysis · Mathematics 2026-01-27 Arshyn Altybay

Dental implant stability influences the decision on the determination of the duration between implant insertion and loading, This work investigates the resonant frequency analysis by means of a numerical model. The investigation is done…

Medical Physics · Physics 2019-05-20 D Rittel , A Dorogoy , G. Haiat , K Shemtov-Yona

Encoding frequency stability constraints in the operation problem is challenging due to its complex dynamics. Recently, data-driven approaches have been proposed to learn the stability criteria offline with the trained model embedded as a…

Systems and Control · Electrical Eng. & Systems 2024-07-23 Wangkun Xu , Qian Chen , Pudong Ge , Zhongda Chu , Fei Teng

Recently proposed orthogonal time frequency space (OTFS) modulation has been considered as a promising candidate for accommodating various emerging communication and sensing applications in high-mobility environments. In this paper, we…

Information Theory · Computer Science 2021-01-12 Shuangyang Li , Weijie Yuan , Zhiqiang Wei , Jinhong Yuan

In this paper, we study the frequency response of uncertain systems using Kharitonov stability theory on first order complex polynomial set. For an interval transfer function, we show that the minimal real part of the frequency response at…

Optimization and Control · Mathematics 2007-05-23 Long Wang

Many important phenomena in quantum devices are dynamic, meaning that they cannot be studied using time-averaged measurements alone. Experiments that measure such transient effects are collectively known as fast readout. One of the most…

This paper presents a novel frequency-domain approach for path following problem, specifically designed to handle paths described by discrete data. The proposed algorithm utilizes the fast Fourier Transform (FFT) to process the discrete…

Systems and Control · Electrical Eng. & Systems 2023-08-15 Zirui Chen , Zongyu Zuo

Fuzzy logic based PID controllers have been studied in this paper, considering several combinations of hybrid controllers by grouping the proportional, integral and derivative actions with fuzzy inferencing in different forms. Fractional…

Optimization and Control · Mathematics 2013-06-18 Saptarshi Das , Indranil Pan , Shantanu Das

In this work we study the solutions to some fractional higher-order equations. Special cases in which time-fractional derivatives take integer values are also examined and the explicit solutions are presented. Such solutions can be…

Probability · Mathematics 2012-06-14 Mirko D'Ovidio

Oscillator phase noise (PN) is one of the major problems that affect the performance of communication systems. In this paper, a direct connection between oscillator measurements, in terms of measured single-side band PN spectrum, and the…

Information Theory · Computer Science 2016-11-17 M. Reza Khanzadi , Dan Kuylenstierna , Ashkan Panahi , Thomas Eriksson , Herbert Zirath

In this work, we investigate direction finding in the presence of sensor gain uncertainties and directional perturbations for sensor array processing in a multi-frequency scenario. Specifically, we adopt a distributed optimization scheme in…

Signal Processing · Electrical Eng. & Systems 2020-02-27 Martin Brossard , Virginie Ollier , Mohammed Nabil El Korso , Rémy Boyer , Pascal Larzabal

The dynamics of complex-valued fractional-order neuronal networks are investigated, focusing on stability, instability and Hopf bifurcations. Sufficient conditions for the asymptotic stability and instability of a steady state of the…

Dynamical Systems · Mathematics 2017-03-21 Eva Kaslik , Ileana Rodica Radulescu

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

Simulation is an efficient tool in the design and control of power electronic systems. However, quick and accurate simulation of them is still challenging, especially when the system contains a large number of switches and state variables.…

Systems and Control · Electrical Eng. & Systems 2023-12-11 Han Xu , Bochen Shi , Zhujun Yu , Jialin Zheng , Zhengming Zhao

We introduce a general purpose algorithm for rapidly computing certain types of oscillatory integrals which frequently arise in problems connected to wave propagation and general hyperbolic equations. The problem is to evaluate numerically…

Numerical Analysis · Mathematics 2007-05-23 Emmanuel Candes , Laurent Demanet , Lexing Ying

This paper investigates the input-output performance of secondary frequency controllers through the control-theoretic notion of $H_2$ norms. We consider a quadratic objective accounting for the cost of reserve procurement and provide exact…

Optimization and Control · Mathematics 2020-08-03 Bala Kameshwar Poolla , John W. Simpson-Porco , Nima Monshizadeh , Florian Dörfler

In this paper, we address the problem of stability and frequency regulation of a recently proposed inverter. In this type of inverter, the DC-side capacitor emulates the inertia of a synchronous generator. First, we remodel the dynamics…

Systems and Control · Computer Science 2017-10-17 Pooya Monshizadeh , Claudio De Persis , Tjerk Stegink , Nima Monshizadeh , Arjan van der Schaft

We use dispersive Fourier transformation to measure shot-to-shot spectral instabilities in femtosecond supercontinuum generation. We study both the onset phase of supercontinuum generation with distinct dispersive wave generation, as well…

Frequency-domain analysis has emerged as a powerful paradigm for time series analysis, offering unique advantages over traditional time-domain approaches while introducing new theoretical and practical challenges. This survey provides a…

Computational Engineering, Finance, and Science · Computer Science 2025-10-21 Qianru Zhang , Yuting Sun , Honggang Wen , Peng Yang , Xinzhu Li , Ming Li , Kwok-Yan Lam , Siu-Ming Yiu , Hongzhi Yin

Phase reduction is a well-established technique used to analyze the timing of oscillations in response to weak external inputs. In the preceding decades, a wide variety of results have been obtained for weakly perturbed oscillators that…

Dynamical Systems · Mathematics 2021-01-15 Dan Wilson
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