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Fault detection is crucial to ensure the reliability of navigation systems. However, mainstream fault detection methods are developed based on Gaussian assumptions on nominal errors, while current attempts at non-Gaussian fault detection…

Signal Processing · Electrical Eng. & Systems 2026-01-01 Penggao Yan , Baoshan Song , Xiao Xia , Weisong Wen , Li-Ta Hsu

Collision detection plays a key role in the simulation of interacting rigid bodies. However, owing to its computational complexity current methods typically prioritize either maximizing processing speed or fidelity to real-world behaviors.…

Robotics · Computer Science 2023-03-03 Simone Asci , Angadh Nanjangud

An analytical method for investigation of the evolution of dynamical systems {\it with independent on time accuracy} is developed for perturbed Hamiltonian systems. The error-free estimation using of computer algebra enables the application…

Instrumentation and Methods for Astrophysics · Physics 2016-12-13 A. V. Gurzadyan , A. A. Kocharyan

We propose a StochAstic Fault diagnosis AlgoRIthm, called SAFARI, which trades off guarantees of computing minimal diagnoses for computational efficiency. We empirically demonstrate, using the 74XXX and ISCAS-85 suites of benchmark…

Artificial Intelligence · Computer Science 2014-01-17 Alexander Feldman , Gregory Provan , Arjan van Gemund

Detecting faults in manufacturing applications can be difficult, especially if each fault model is to be engineered by hand. Data-driven approaches, using Machine Learning (ML) for detecting faults have recently gained increasing interest,…

Machine Learning · Computer Science 2021-07-06 Błażej Leporowski , Daniella Tola , Casper Hansen , Alexandros Iosifidis

Fitting autoregressive moving average (ARMA) time series models requires model identification before parameter estimation. Model identification involves determining the order of the autoregressive and moving average components which is…

Computation · Statistics 2024-04-09 Yin Liu , Sam Davanloo Tajbakhsh

The identification of dynamic parameters in mechanical systems is important for improving model-based control as well as for performing realistic dynamic simulations. Generally, when identification techniques are applied only a subset of…

Robotics · Computer Science 2026-03-17 Miguel Díaz-Rodríguez , Vicente Mata , Angel Valera , Alvaro Page

This paper studies the identification of nonlinearly parameterized control systems in given experiments. Several identifiability criteria are established and an implementable algorithm is proposed for practicality with the convergence rate…

Optimization and Control · Mathematics 2019-08-21 Chanying Li

The linearization of the equations of motion of a robotics system about a given state-input trajectory, including a controlled equilibrium state, is a valuable tool for model-based planning, closed-loop control, gain tuning, and state…

Robotics · Computer Science 2022-04-20 Martijn Bos , Silvio Traversaro , Daniele Pucci , Alessandro Saccon

In recent times, there has been considerable interest in fault detection within electrical power systems, garnering attention from both academic researchers and industry professionals. Despite the development of numerous fault detection…

Systems and Control · Electrical Eng. & Systems 2026-02-17 Sidharthenee Nayak , Victor Sam Moses Babu , Chandrashekhar Narayan Bhende , Pratyush Chakraborty , Mayukha Pal

We develop data-driven algorithms to fully automate sensor fault detection in systems governed by underlying physics. The proposed machine learning method uses a time series of typical behavior to approximate the evolution of measurements…

This paper considers a single-trajectory system identification problem for linear systems under general nonlinear and/or time-varying policies with i.i.d. random excitation noises. The problem is motivated by safe learning-based control for…

Optimization and Control · Mathematics 2023-06-21 Yingying Li , Tianpeng Zhang , Subhro Das , Jeff Shamma , Na Li

A subalgebraic approximation algorithm is proposed to estimate from a set of time series the parameters of the observer representation of a discrete-time polynomial system without inputs which can generate an approximation of the observed…

Optimization and Control · Mathematics 2015-07-09 Jana Němcová , Mihály Petreczky , Jan H. van Schuppen

Many problems give rise to polynomial systems. These systems often have several parameters and we are interested to study how the solutions vary when we change the values for the parameters. Using predictor-corrector methods we track the…

Numerical Analysis · Mathematics 2008-10-01 Kathy Piret , Jan Verschelde

Modular, Jacobi, and mock-modular forms serve as generating functions for BPS black hole degeneracies. By training feed-forward neural networks on Fourier coefficients of automorphic forms derived from the Dedekind eta function, Eisenstein…

High Energy Physics - Theory · Physics 2025-05-12 Vishnu Jejjala , Suresh Nampuri , Dumisani Nxumalo , Pratik Roy , Abinash Swain

A method to retrieve the elastic constants of rectangular wooden plates is presented, relying on the measurement of a set of eigenfrequencies and the identification of the corresponding mode shapes, and belonging to the more general…

Classical Physics · Physics 2023-11-14 Michele Ducceschi , Sebastian Duran , Henna Tahvanainen , Ludovico Ausiello

In this paper we are concerned to find the eigenvalues and eigenvectors of a real symetric matrix by applying a new numerical method similar to Jacobi method. Our approch consists to use a new orthogonal matrix. The computation of the…

Numerical Analysis · Mathematics 2020-03-30 Nassim Guerraiche

Stochastic algebraic Riccati equations, also known as rational algebraic Riccati equations, arising in linear-quadratic optimal control for stochastic linear time-invariant systems, were considered to be not easy to solve. The-state-of-art…

Optimization and Control · Mathematics 2024-03-06 Zhen-Chen Guo , Xin Liang

We present a simple, accurate method for solving consistent, rank-deficient linear systems, with or without addi- tional rank-completing constraints. Such problems arise in a variety of applications, such as the computation of the…

Numerical Analysis · Mathematics 2014-01-15 Josef Sifuentes , Zydrunas Gimbutas , Leslie Greengard

This work presents a fault-tolerant control scheme for sensory faults in robotic manipulators based on active inference. In the majority of existing schemes, a binary decision of whether a sensor is healthy (functional) or faulty is made…

Robotics · Computer Science 2022-03-30 Mohamed Baioumy , Corrado Pezzato , Carlos Hernandez Corbato , Nick Hawes , Riccardo Ferrari
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