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We consider a stochastic impulse control problem that is motivated by applications such as the optimal exploitation of a natural resource. In particular, we consider a stochastic system whose uncontrolled state dynamics are modelled by a…

最优化与控制 · 数学 2024-08-27 Zhesheng Liu , Mihail Zervos

This paper deals with the nonlinear stochastic dynamics of a piezoelectric energy harvesting system subjected to a harmonic external excitation disturbed by Gaussian colored noise. A parametric analysis is conducted, where the effects of…

统计力学 · 物理学 2021-07-30 Vinicius Gonçalves Lopes , João Victor L. L. Peterson , Americo Cunha

The paper investigates asymmetries effects over a nonlinear vibration energy harvester dynamics. The asymmetric system performance is compared with symmetric ones. Different asymmetry levels on restoring force and gravity action are…

The Hilbert Schmidt Independence Criterion (HSIC) is a kernel dependence measure that has applications in various aspects of machine learning. Conveniently, the objectives of different dimensionality reduction applications using HSIC often…

机器学习 · 统计学 2019-09-12 Chieh Wu , Jared Miller , Yale Chang , Mario Sznaier , Jennifer Dy

In a power system, when the participation factors of generators are computed to rank their participations into an oscillatory mode, a model-based approach is conventionally used on the linearized system model by means of the corresponding…

系统与控制 · 电气工程与系统科学 2024-05-15 Tianwei Xia , Zhe Yu , Kai Sun , Di Shi , Kaiyang Huang

An important design principle for biological oscillators divides the oscillators into two classes: fixed frequency, variable amplitude and fixed amplitude, variable frequency. Because of the interplay of nonlinearity and feedback, both…

系统与控制 · 电气工程与系统科学 2026-04-14 Sidhanta Mohanty , Shaunak Sen

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…

信息论 · 计算机科学 2016-11-17 M. Reza Khanzadi , Dan Kuylenstierna , Ashkan Panahi , Thomas Eriksson , Herbert Zirath

In a previous article we developed an approach to the optimal (minimum variance, unbiased) statistical estimation technique for the equilibrium displacement of a damped, harmonic oscillator in the presence of thermal noise. Here, we expand…

数据分析、统计与概率 · 物理学 2009-09-28 Jason H. Steffen , Michael W. Moore , Paul E. Boynton

Linear and nonlinear resonant states can be restrictive: they exist at particular discrete states in frequency and/or elasticity, under particular (e.g., simple-harmonic) waveforms. In forced oscillators, this restrictiveness is an obstacle…

系统与控制 · 电气工程与系统科学 2022-11-16 Arion Pons , Tsevi Beatus

In this article, the optimal control problem for a harmonic oscillator with an inequality constraint is considered. The applied energy of the oscillator during a fixed final time period is used as the performance criterion. The analytical…

系统与控制 · 电气工程与系统科学 2023-10-02 Mi Zhou , Erik I Verriest , Chaouki Abdallah

We consider the problem of designing experiments for the comparison of two regression curves describing the relation between a predictor and a response in two groups, where the data between and within the group may be dependent. In order to…

统计理论 · 数学 2021-01-15 Kirsten Schorning , Holger Dette

In this article, we present an analysis of the effects of nonlinear circuits on bistable vibration energy harvesters. We begin by introducing an analytical model for bistable vibration energy harvesters and demonstrate that the impact of…

应用物理 · 物理学 2024-09-04 Adrien Morel , Quentin Demouron , Adrien Badel

We consider a finite region of a $d$-dimensional lattice, $d\in\mathbb{N}$, of weakly coupled harmonic oscillators. The coupling is provided by a nearest-neighbour potential (harmonic or not) of size $\varepsilon$. Each oscillator weakly…

数学物理 · 物理学 2016-06-29 A. Dymov

This research paper explores the potential of nonlinear magnetic levitation systems for energy harvesting by developing a modified system that incorporates a more realistic energy harvesting circuit, enabling a better representation of…

偏微分方程分析 · 数学 2026-03-25 Jinhao Xie , Chengkai Yuan

Experimental results from literature show equidistant energy levels in thin Bi films on surfaces, suggesting a harmonic oscillator description. Yet this conclusion is by no means imperative, especially considering that any measurement only…

量子物理 · 物理学 2021-07-20 Fabian Teichert , Eduard Kuhn , Angela Thränhardt

The dynamic response of power grids to small events or persistent stochastic disturbances influences their stable operation. Low-frequency inter-area oscillations are of particular concern due to insufficient damping. This paper studies the…

最优化与控制 · 数学 2022-04-20 Manish K. Singh , Vassilis Kekatos

Maximum output powers of vibration-driven inertial power harvesters reported in literature exhibit sizable variations, even when normalized by the device weight or their maximum linear size. To help establish a common benchmark, we present…

其他凝聚态物理 · 物理学 2014-10-20 Akshay Ananthakrishnan , Inna Kozinsky , Igor Bargatin

This work demonstrates preliminary results on energy harvesting from a linearly stable flutter-type system with circulatory friction forces. Harmonic external forcing is applied to study the energy flow in the steady sliding configuration.…

应用物理 · 物理学 2019-09-04 Merten Stender , Merten Tiedemann , Norbert Hoffmann

The performance of prediction models is often based on "abstract metrics" that estimate the model's ability to limit residual errors between the observed and predicted values. However, meaningful evaluation and selection of prediction…

机器学习 · 计算机科学 2019-05-13 Saima Aman , Yogesh Simmhan , Viktor K. Prasanna

We develop methods to calculate the curvature power spectrum in models where features in the inflaton potential nonlinearly excite modes and generate high frequency features in the spectrum. The first nontrivial effect of excitations…

宇宙学与河外天体物理 · 物理学 2018-09-18 V Miranda , Wayne Hu , Chen He , Hayato Motohashi