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The information transmission between nodes in a wireless sensor networks (WSNs) often causes packet loss due to denial-of-service (DoS) attack, energy limitations, and environmental factors, and the information that is successfully…

Signal Processing · Electrical Eng. & Systems 2023-07-10 Jiacheng He , Bei Peng , Zhenyu Feng , Xuemei Mao , Song Gao , Gang Wang

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…

Information Theory · Computer Science 2020-09-08 Yaron Shulami , Daniel Sigalov

Several variations of the Kalman filter algorithm, such as the extended Kalman filter (EKF) and the unscented Kalman filter (UKF), are widely used in science and engineering applications. In this paper, we introduce two algorithms of…

Optimization and Control · Mathematics 2018-10-11 Wei Kang , Liang Xu

Formation control (FC) of multi-agent plays a critical role in a wide variety of fields. In the absence of absolute positioning, agents in FC systems rely on relative position measurements with respect to their neighbors. In distributed…

Systems and Control · Electrical Eng. & Systems 2021-10-14 Martijn van der Marel , Raj Thilak Rajan

In this paper, we address the distributed filtering and prediction of time-varying random fields represented by linear time-invariant (LTI) dynamical systems. The field is observed by a sparsely connected network of agents/sensors…

Information Theory · Computer Science 2016-10-14 Subhro Das , José M. F. Moura

The extended Kalman filter (EKF) is a cornerstone of nonlinear state estimation, yet its performance is fundamentally limited by noise-model mismatch and linearization errors. We develop a residual-aware distributionally robust EKF that…

Systems and Control · Electrical Eng. & Systems 2026-04-06 Minhyuk Jang , Jungjin Lee , Astghik Hakobyan , Naira Hovakimyan , Insoon Yang

The Kalman filter (KF) is an optimal linear state estimator for linear systems, and numerous extensions, including the extended Kalman filter (EKF), unscented Kalman filter (UKF), and cubature Kalman filter (CKF), have been developed for…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Shida Jiang , Junzhe Shi , Scott Moura

The problem of multisensor multitarget state estimation in the presence of constant but unknown sensor biases is investigated. The classical approach to this problem is to augment the state vector to include the states of all the targets…

Signal Processing · Electrical Eng. & Systems 2019-10-16 Jianxin Yi , Xianrong Wan , Deshi Li

Accurate state estimation of nonlinear dynamical systems is fundamental to modern aerospace operations across air, sea, and space domains. Online tracking of adversarial unmanned aerial vehicles (UAVs) is especially challenging due to agile…

Machine Learning · Computer Science 2026-05-01 Akhil Gupta , Erhan Guven

The ability of ensemble Kalman filter (EnKF) algorithms to extract information from observations is analyzed with the aid of the concept of the degrees of freedom for signal (DFS). A simple mathematical argument shows that DFS for EnKF is…

Data Analysis, Statistics and Probability · Physics 2021-03-26 Daisuke Hotta , Yoichiro Ota

This paper aims to introduce an application to Kalman Filtering Theory, which is rather unconventional. Recent experiments have shown that many natural phenomena, especially from ecology or meteorology, could be monitored and predicted more…

General Literature · Computer Science 2017-03-22 Dan Stefanoiu , Janetta Culita

Conventional Bayesian estimation requires an accurate stochastic model of a system. However, this requirement is not always met in many practical cases where the system is not completely known or may differ from the assumed model. For such…

Signal Processing · Electrical Eng. & Systems 2023-04-05 Ranjeet Kumar Tiwari , Shovan Bhaumik

A modification scheme to the ensemble Kalman filter (EnKF) is introduced based on the concept of the unscented transform (Julier et al., 2000; Julier and Uhlmann, 2004), which therefore will be called the ensemble unscented Kalman filter…

Atmospheric and Oceanic Physics · Physics 2009-11-30 X. Luo , I. M. Moroz

In this paper we present a new Kalman filter extension for state update called Partitioned Update Kalman Filter (PUKF). PUKF updates the state using multidimensional measurements in parts. PUKF evaluates the nonlinearity of the measurement…

Optimization and Control · Mathematics 2016-03-15 Matti Raitoharju , Robert Piché , Juha Ala-Luhtala , Simo Ali-Löytty

This paper develops a new nonlinear filter, called Moment-based Kalman Filter (MKF), using the exact moment propagation method. Existing state estimation methods use linearization techniques or sampling points to compute approximate values…

Robotics · Computer Science 2023-01-24 Yutaka Shimizu , Ashkan Jasour , Maani Ghaffari , Shinpei Kato

Ensuring safety in multi-agent systems is a significant challenge, particularly in settings where centralized coordination is impractical. In this work, we propose a novel risk-sensitive safety filter for discrete-time multi-agent systems…

Systems and Control · Electrical Eng. & Systems 2025-12-19 Armin Lederer , Erfaun Noorani , Andreas Krause

In this article, we propose a new filtering algorithm based in the Koopman operator, showing that a nonlinear filtering problem can be seen as an equivalent problem where the dynamics is infinite dimensional, but linear. Using Extended…

Dynamical Systems · Mathematics 2025-11-07 Diego Olguín , Axel Osses , Héctor Ramírez

This paper studies the synchronization of stochastic linear systems which are subject to a general class of noises, in the sense that the noises are bounded in covariance but might be correlated with the states of agents and among each…

Systems and Control · Electrical Eng. & Systems 2022-05-16 Jiaqi Yan , Yilin Mo , Hideaki Ishii

Stochastic stability for centralized time-varying Kalman filtering over a wireles ssensor network with correlated fading channels is studied. On their route to the gateway, sensor packets, possibly aggregated with measurements from several…

Optimization and Control · Mathematics 2013-08-09 Daniel E. Quevedo , Anders Ahlen , Karl H. Johansson

The filtering distribution in hidden Markov models evolves according to the law of a mean-field model in state-observation space. The ensemble Kalman filter (EnKF) approximates this mean-field model with an ensemble of interacting…

Machine Learning · Statistics 2025-12-25 Eviatar Bach , Ricardo Baptista , Edoardo Calvello , Bohan Chen , Andrew Stuart
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