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Hierarchical optimization architectures are used in power systems to manage disturbances and phenomena that arise at multiple spatial and temporal scales. We present a graph modeling abstraction for representing such architectures and an…

最优化与控制 · 数学 2023-09-20 David L. Cole , Harsha Gangammanavar , Victor M. Zavala

The modified nodal analysis (MNA) is probably the most widely used formulation for the modeling and simulation of electric circuits. Its conventional form uses electric node potentials and currents across inductors and voltage sources as…

数值分析 · 数学 2021-08-12 Idoia Cortes Garcia , Herbert Egger , Vsevolod Shashkov

What is the best representation for doing euclidean geometry on computers? These notes from a SIGGRAPH 2019 short course entitled "Geometric algebra for computer graphics" introduce projective geometric algebra (PGA) as a modern framework…

图形学 · 计算机科学 2020-08-19 Charles G. Gunn

Geometrical optics (GO) is widely used for reduced modeling of waves in plasmas but fails near reflection points, where it predicts a spurious singularity of the wave amplitude. We show how to avoid this singularity by adopting a different…

等离子体物理 · 物理学 2025-09-11 I. Y. Dodin , N. A. Lopez , Tingjing Xing , Rune Højlund Marholt , Valerian H. Hall-Chen

Massive multiple-input multiple-output (MIMO) systems are cellular networks where the base stations (BSs) are equipped with unconventionally many antennas, deployed on co-located or distributed arrays. Huge spatial degrees-of-freedom are…

信息论 · 计算机科学 2015-04-30 Emil Björnson , Michail Matthaiou , Mérouane Debbah

In the design of electromagnetic devices the accurate representation of the geometry plays a crucial role in determining the device performance. For accelerator cavities, in particular, controlling the frequencies of the eigenmodes is…

计算物理 · 物理学 2017-11-07 Jacopo Corno , Carlo de Falco , Herbert De Gersem , Sebastian Schöps

The adiabatic geometric phases for general three state systems are discussed. An explicit parameterization for space of states of these systems is given. The abelian and non-abelian connection one-forms or vector potentials that would…

量子物理 · 物理学 2007-05-23 Mark S. Byrd

In this work, we utilize discrete geometric mechanics to derive a 2nd-order variational integrator so as to simulate rigid body dynamics. The developed integrator is to simulate the motion of a free rigid body and a quad-rotor. We…

最优化与控制 · 数学 2020-05-18 Mahmoud Abdelgalil , Asmaa Eldesoukey , Esraa Elshabrawy , Mostafa Abdalla

Cross-grating phase microscopy (CGM) is a quantitative phase microscopy technique based on the association of a 2-dimensional diffraction grating (cross-grating) and a regular camera sensor, separated by a millimetric distance. This simple…

光学 · 物理学 2024-11-04 Baptiste Marthy , Guillaume Baffou

This paper introduces a new approach for output feedback stabilization of SISO systems which, unlike most of the techniques found in the literature, does not use high-gain observers and control input saturation to achieve separation between…

最优化与控制 · 数学 2007-05-23 Manfredi Maggiore , Kevin Passino

We present a method and tool for evaluating the placement of Distributed Energy Resources (DER) on distribution circuits in order to control voltages and power flows. Our previous work described Phasor-Based Control (PBC), a novel control…

系统与控制 · 电气工程与系统科学 2021-03-24 Jaimie Swartz , Brittany Wais , Elizabeth Ratnam , Alexandra von Meier

In this paper, we define the phase response for a class of multi-input multi-output (MIMO) linear time-invariant (LTI) systems whose frequency responses are (semi-)sectorial at all frequencies. The newly defined phase concept subsumes the…

系统与控制 · 电气工程与系统科学 2022-10-24 Wei Chen , Dan Wang , Sei Zhen Khong , Li Qiu

We present a combination of analytical and numerical calculations for the critical behavior of a supersymmetric non-linear $\sigma$-model within the context of the localization transition of a disordered one-electron system. As a result, we…

凝聚态物理 · 物理学 2009-10-28 Thomas Dupré

The proportional-integral-derivative (PID) controller and its variants are widely used in control engineering, but they often rely on linearization around equilibrium points and empirical parameter tuning, making them ineffective for…

系统与控制 · 电气工程与系统科学 2026-01-13 Zimao Sheng

This paper presents a new view of multi-user (MU) hybrid massive multiple-input and multiple-output (MIMO) systems from array signal processing perspective. We first show that the instantaneous channel vectors corresponding to different…

信息论 · 计算机科学 2022-10-18 Hai Lin , Feifei Gao , Shi Jin , Geoffrey Ye Li

The widespread deployment of power electronic technologies is transforming modern power systems into fast, nonlinear, and heterogeneous networks. Conventional modeling and control approaches, rooted in quasi-static analysis and centralized…

系统与控制 · 电气工程与系统科学 2026-03-31 Hiya Gada , Rupamathi Jaddivada , Marija Ilic

Sliding mode control (SMC) is a robust and computationally efficient model-based controller design technique for highly nonlinear systems, in the presence of model and external uncertainties. However, the implementation of the conventional…

最优化与控制 · 数学 2018-05-18 Mohammad Reza Amini , Mahdi Shahbakhti , Selina Pan

Geometric algebra (GA) is a mathematical tool for geometric computing, providing a framework that allows a unified and compact approach to geometric relations which in other mathematical systems are typically described using different more…

数学软件 · 计算机科学 2025-05-09 Manel Velasco , Isiah Zaplana , Arnau Dória-Cerezo , Pau Martí

Data with features of volume, velocity, variety, and veracity are challenging traditional tools to extract useful analysis for decision-making. By integrating high-dimensional analysis with visualization, this paper develops a 3D power-map…

统计方法学 · 统计学 2015-03-03 Xing He , Qian Ai , Robert C. qiu , Jianmo Ni , Longjian Piao , Yiting Xu , Xinyi Xu

Accurate phase connectivity information is essential for advanced monitoring and control applications in power distribution systems. The existing data-driven approaches for phase identification lack precise physical interpretation and…

系统与控制 · 计算机科学 2019-08-23 Wenyu Wang , Nanpeng Yu