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The estimation of static parameters in dynamical systems and control theory has been extensively studied, with significant progress made in estimating varying parameters in specific system types. Suppose, in the general case, we have data…

Optimization and Control · Mathematics 2025-07-10 Jamiree Harrison , Enoch Yeung

The power system state estimation (SE) algorithm estimates the complex bus voltages based on the available set of measurements. Because phasor measurement units (PMUs) are becoming more widely employed in transmission power systems, a fast…

Machine Learning · Computer Science 2022-06-07 Ognjen Kundacina , Mirsad Cosovic , Dejan Vukobratovic

In this paper, a novel linear formulation for power system state estimation that simultaneously treats conventional and synchrophasor measurements is proposed. A linear circuit model for conventional measurements is introduced to enable a…

Signal Processing · Electrical Eng. & Systems 2018-12-04 Aleksandar Jovicic , Marko Jereminov , Larry Pileggi , Gabriela Hug

In this article, we present the least squares estimator for the drift parameter in a linear regression model driven by the increment of a fractional Brownian motion sampled at random times. For two different random times, Jittered and…

Statistics Theory · Mathematics 2019-02-25 Héctor Araya , Natalia Bahamonde , Lisandro Fermín , Tania Roa , Soledad Torres

Fast Field-Cycling Nuclear Magnetic Resonance relaxometry is a non-destructive technique to investigate molecular dynamics and structure of systems having a wide range of applications such as environment, biology, and food. Besides a…

Traditionally, batch least squares (BLS) and recursive least squares (RLS) are used for identification of a vector of parameters that form a linear model. In some situations, however, it is of interest to identify parameters in a matrix…

Signal Processing · Electrical Eng. & Systems 2024-06-11 Brian Lai , Dennis S. Bernstein

An online PMU-assisted Power System Parameter Calibration System (PSPCS) was recently developed and implemented at State Grid Jiangsu Electric Power Company (JEPC). PSPCS leverages high-resolution PMU data and data mining techniques to…

Systems and Control · Computer Science 2017-06-15 Xiao Lu , Di Shi , Bin Zhu , Zhiwei Wang , Jianyu Luo , Dawei Su , Chunlei Xu

High throughput experimental systems play an important role in bioprocess development, as they provide an efficient way of analysing different experimental conditions and perform strain discrimination in previous phases to the industrial…

Quantitative Methods · Quantitative Biology 2021-12-28 Judit Aizpuru , Annina Karolin Kemmer , Jong Woo Kim , Stefan Born , Peter Neubauer , Mariano N. Cruz Bournazou , Tilman Barz

Dynamical systems describe the changes in processes that arise naturally from their underlying physical principles, such as the laws of motion or the conservation of mass, energy or momentum. These models facilitate a causal explanation for…

Methodology · Statistics 2023-10-11 Michelle Carey , James O. Ramsay

Online system identification algorithms are widely used for monitoring, diagnostics and control by continuously adapting to time-varying dynamics. Typically, these algorithms consider a model structure that lacks parsimony and offers…

Systems and Control · Electrical Eng. & Systems 2025-04-28 Koen Classens , Rodrigo A. González , Tom Oomen

This paper investigates the joint problems of dynamic state estimation of algebraic variables (voltage and phase angle) and generator states (rotor angle and frequency) of nonlinear differential algebraic equation (NDAE) power network…

Systems and Control · Electrical Eng. & Systems 2022-06-16 Muhammad Nadeem , Sebastian A. Nugroho , Ahmad F. Taha

The parameter fit from a model grid is limited by our capability to reduce the number of models, taking into account the number of parameters and the non linear variation of the models with the parameters. The Local MultiLinear Regression…

Astrophysics · Physics 2009-11-13 A. Bijaoui , A. Recio-Blanco , P. de Laverny

As one of the recently proposed algorithms for sparse system identification, $l_0$ norm constraint Least Mean Square ($l_0$-LMS) algorithm modifies the cost function of the traditional method with a penalty of tap-weight sparsity. The…

Information Theory · Computer Science 2015-06-04 Guolong Su , Jian Jin , Yuantao Gu , Jian Wang

This paper studies the remote state estimation problem of linear time-invariant systems with stochastic event-triggered sensor schedules in the presence of packet drops between the sensor and the estimator. It is shown that the system state…

Optimization and Control · Mathematics 2019-04-04 Liang Xu , Yilin Mo , Lihua Xie

Tensor-valued data arise naturally in multidimensional signal and imaging problems, such as biomedical imaging. When incorporated into generalized linear models (GLMs), naive vectorization can destroy their multi-way structure and lead to…

Machine Learning · Statistics 2026-04-07 Xiao Liang , Shuang Li

We investigate the theoretical foundations of a recently introduced entropy-based formulation of weighted least squares for the approximation of overdetermined linear systems, motivated by robust data fitting in the presence of sparse gross…

Numerical Analysis · Mathematics 2026-03-17 Felice Iavernaro , Monica Lazzo , Lorenzo Pisani

Identification of inertial parameters is fundamental for the implementation of torque-based control in humanoids. At the same time, good models of friction and actuator dynamics are critical for the low-level control of joint torques. We…

Robotics · Computer Science 2016-10-24 Silvio Traversaro , Andrea Del Prete , Riccardo Muradore , Lorenzo Natale , Francesco Nori

Performance analysis of $l_0$ norm constrained Recursive least Squares (RLS) algorithm is attempted in this paper. Though the performance pretty attractive compared to its various alternatives, no thorough study of theoretical analysis has…

Information Theory · Computer Science 2016-02-11 Samrat Mukhopadhyay , Bijit Kumar Das , Mrityunjoy Chakraborty

This paper considers least-square based estimation of the amplitude and square amplitude of a quantized sine wave, done by considering random initial record phase. Using amplitude- and frequency-domain modeling techniques, it is shown that…

Signal Processing · Electrical Eng. & Systems 2018-04-23 Paolo Carbone , Johan Schoukens

Parallel transmission has been a very promising candidate technology to mitigate the inevitable radio-frequency field inhomogeneity in magnetic resonance imaging (MRI) at ultra-high field (UHF). For the first few years, pulse design…

Instrumentation and Detectors · Physics 2013-11-06 Andres Hoyos Idrobo , Pierre Weiss , Aurélien Massire , Alexis Amadon , Nicolas Boulant
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