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State estimation is a fundamental problem in control and signal processing, for which the Kalman Filter provides an optimal solution under linear dynamics, Gaussian noise, and known noise covariances. However, these assumptions often fail…

机器学习 · 计算机科学 2026-05-27 Vasileios Saketos , Ming Xiao

In this paper, a hybrid measurement and model-based method is proposed which can estimate the dynamic state Jacobian matrix in near real-time. The proposed method is computationally efficient and robust to the variation of network topology.…

系统与控制 · 计算机科学 2015-10-27 Xiaozhe Wang , Konstantin Turitsyn

Consider a linear stochastic system whose initial state is a random vector with a specified Gaussian distribution. Such a distribution may represent a collection of particles abiding by the specified system dynamics. In recent publications,…

最优化与控制 · 数学 2015-04-06 Yongxin Chen , Tryphon T. Georgiou , Michele Pavon

The Boolean Kalman Filter and associated Boolean Dynamical System Theory have been proposed to study the spread of infection on computer networks. Such models feature a network where attacks propagate through, an intrusion detection system…

密码学与安全 · 计算机科学 2025-09-04 Brandon Collins , Thomas Gherna , Keith Paarporn , Shouhuai Xu , Philip N. Brown

The Kalman filter is an algorithm for the estimation of hidden variables in dynamical systems under linear Gauss-Markov assumptions with widespread applications across different fields. Recently, its Bayesian interpretation has received a…

神经元与认知 · 定量生物学 2021-11-23 Manuel Baltieri , Takuya Isomura

This report provides a brief historical evolution of the concepts in the Kalman filtering theory since ancient times to the present. A brief description of the filter equations its aesthetics, beauty, truth, fascinating perspectives and…

统计方法学 · 统计学 2015-03-17 Shyam Mohan M , Naren Naik , R. M. O. Gemson , M. R. Ananthasayanam

We propose a technique to assess the vulnerability of the power system state estimator. We aim at identifying measurements that have a high potential of being the target of false data injection attacks. From an adversary's point of view,…

最优化与控制 · 数学 2020-07-01 Gonzalo E. Constante-Flores , Antonio J. Conejo , Jiankang Wang

A computationally efficient method for online joint state inference and dynamical model learning is presented. The dynamical model combines an a priori known, physically derived, state-space model with a radial basis function expansion…

系统与控制 · 电气工程与系统科学 2021-07-12 Anton Kullberg , Isaac Skog , Gustaf Hendeby

We consider the problem of steering, via output feedback, the state distribution of a discrete-time, linear stochastic system from an initial Gaussian distribution to a terminal Gaussian distribution with prescribed mean and maximum…

最优化与控制 · 数学 2020-09-11 Jack Ridderhof , Kazuhide Okamoto , Panagiotis Tsiotras

This paper is concerned with the problem of distributed Kalman filtering in a network of interconnected subsystems with distributed control protocols. We consider networks, which can be either homogeneous or heterogeneous, of linear…

系统与控制 · 计算机科学 2017-11-22 Damian Marelli , Mohsen Zamani , Minyue Fu

This paper is considered with joint estimation of state and time-varying noise covariance matrices in non-linear stochastic state space models. We present a variational Bayes and Gaussian filtering based algorithm for efficient computation…

统计方法学 · 统计学 2013-02-05 Simo Särkkä Jouni Hartikainen

A pose estimation technique based on error-state extended Kalman that fuses angular rates, accelerations, and relative range measurements is presented in this paper. An unconstrained dynamic model with kinematic coupling for a…

系统与控制 · 电气工程与系统科学 2024-09-18 Deep Parikh , Manoranjan Majji

We consider the problem of state estimation in dynamical systems and propose a different mechanism for handling unmodeled system uncertainties. Instead of injecting random process noise, we assign different weights to measurements so that…

信息论 · 计算机科学 2020-09-08 Yaron Shulami , Daniel Sigalov

In this article, we consider the implications of unobservable subspaces in the construction of a Kalman filter. In particular, we consider dynamical systems which are invariant with respect to a group action, and which are therefore…

最优化与控制 · 数学 2019-01-14 Xuefeng Shen , Melvin Leok

The ensemble Kalman filter (EnKF) is a data assimilation technique that uses an ensemble of models, updated with data, to track the time evolution of a usually non-linear system. It does so by using an empirical approximation to the…

应用统计 · 统计学 2021-03-12 Elizabeth Hou , Earl Lawrence , Alfred O. Hero

We show that the stochastic Schrodinger equation for the filtered state of a system, with linear free dynamics, undergoing continual non-demolition measurement or either position or momentum, or both together, can be solved explicitly…

量子物理 · 物理学 2008-11-04 John Gough

This paper is concerned with the linear/nonlinear Kalman-like filtering problem under binary sensors. Since innovation represents new information in the sensor measurement and serves to correct the prediction for the Kalman-like filter…

系统与控制 · 电气工程与系统科学 2021-10-28 Zhongyao Hu , Bo Chen , Yuchen Zhang , Li Yu

This paper investigates waveform estimation (tracking) of the time-varying force in a two-level optomechanical system with backaction noise by Kalman filtering. It is assumed that the backaction and measurement noises are Gaussian and…

量子物理 · 物理学 2019-03-05 Beili Gong , Daoyi Dong , Weizhou Su , Wei Cui

State estimation of dynamical systems is crucial for providing new decision-making and system automation information in different applications. However, the assumptions on the standard computational models for sensor measurements can be…

系统与控制 · 电气工程与系统科学 2022-10-25 Aamir Hussain Chughtai , Arslan Majal , Muhammad Tahir , Momin Uppal

The Kalman filter (KF) provides optimal recursive state estimates for linear-Gaussian systems and underpins applications in control, signal processing, and others. However, it is vulnerable to outliers in the measurements and process noise.…

系统与控制 · 电气工程与系统科学 2025-07-02 Alan Yang , Stephen Boyd
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