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This paper addresses the problem of selecting the minimum number of dedicated sensors to achieve observability in the presence of unknown inputs, namely, the state and input observability, for linear time-invariant systems. We assume that…

Systems and Control · Electrical Eng. & Systems 2024-08-20 Ranbo Cheng , Yuan Zhang , Amin MD Al , Yuanqing Xia

Since the innovation of the ubiquitous Kalman filter more than five decades back it is well known that to obtain the best possible estimates the tuning of its statistics $X_0$, $P_0$, $\Theta$, $R$ and $Q$ namely initial state and…

Methodology · Statistics 2015-05-28 M. R. Ananthasayanam , Shyam Mohan M , Naren Naik , R. M. O. Gemson

We consider the problem of tracking an intruder using a network of wireless sensors. For tracking the intruder at each instant, the optimal number and the right configuration of sensors has to be powered. As powering the sensors consumes…

Artificial Intelligence · Computer Science 2018-02-27 Raghuram Bharadwaj Diddigi , Prabuchandran K. J. , Shalabh Bhatnagar

We study how to secure distributed filters for linear time-invariant systems with bounded noise under false-data injection attacks. A malicious attacker is able to arbitrarily manipulate the observations for a time-varying and unknown…

Systems and Control · Electrical Eng. & Systems 2021-06-23 Xingkang He , Xiaoqiang Ren , Henrik Sandberg , Karl H. Johansson

A Semidefinite Programming (SDP) relaxation is an effective computational method to solve a Sensor Network Localization problem, which attempts to determine the locations of a group of sensors given the distances between some of them [11].…

Metric Geometry · Mathematics 2012-11-16 Davood Shamsi , Nicole Taheri , Zhisu Zhu , Yinyu Ye

This paper addresses the security allocation problem in a networked control system under stealthy injection attacks. The networked system is comprised of interconnected subsystems which are represented by nodes in a digraph. An adversary…

Systems and Control · Electrical Eng. & Systems 2025-12-03 Anh Tung Nguyen , Sribalaji C. Anand , André M. H. Teixeira

The Kalman filter is a fundamental filtering algorithm that fuses noisy sensory data, a previous state estimate, and a dynamics model to produce a principled estimate of the current state. It assumes, and is optimal for, linear models and…

Neural and Evolutionary Computing · Computer Science 2021-04-30 Beren Millidge , Alexander Tschantz , Anil Seth , Christopher Buckley

In this paper we address the problem of estimating the posterior distribution of the static parameters of a continuous time state space model with discrete time observations by an algorithm that combines the Kalman filter and a particle…

Computation · Statistics 2019-05-22 Jian He , Asma Khedher , Peter Spreij

Motivated by the Internet-of-things and sensor networks for cyberphysical systems, the problem of dynamic sensor activation for the tracking of a time-varying process is examined. The tradeoff is between energy efficiency, which decreases…

Systems and Control · Computer Science 2017-11-30 Arpan Chattopadhyay , Urbashi Mitra

Estimation of a dynamical system's latent state subject to sensor noise and model inaccuracies remains a critical yet difficult problem in robotics. While Kalman filters provide the optimal solution in the least squared sense for linear and…

Robotics · Computer Science 2022-02-10 Fahira Afzal Maken , Fabio Ramos , Lionel Ott

Gaussian process regression uses data measured at sensor locations to reconstruct a spatially dependent function with quantified uncertainty. However, if only a limited number of sensors can be deployed, it is important to determine how to…

Numerical Analysis · Mathematics 2026-01-29 Jessie Chen , Hangjie Ji , Arvind K. Saibaba

We address the problem of minimal actuator placement in linear systems so that the volume of the set of states reachable with one unit or less of input energy is lower bounded by a desired value. First, following the recent work of…

Optimization and Control · Mathematics 2016-12-30 V. Tzoumas , M. A. Rahimian , G. J. Pappas , A. Jadbabaie

We consider the problem of optimal power allocation in a sensor network where the sensors observe a dynamic parameter in noise and coherently amplify and forward their observations to a fusion center (FC). The FC uses the observations in a…

Information Theory · Computer Science 2015-06-17 Feng Jiang , Jie Chen , A. Lee Swindlehurst

Optimal sensor placement (SP) usually minimizes an impact measure, such as the amount of contaminated water or the number of inhabitants affected before detection. The common choice is to minimize the minimum detection time (MDT) averaged…

Signal Processing · Electrical Eng. & Systems 2021-03-09 Antonio Candelieri , Andrea Ponti , Francesco Archetti

We study the problem of distributed Kalman filtering for sensor networks in the presence of model uncertainty. More precisely, we assume that the actual state-space model belongs to a ball, in the Kullback-Leibler topology, about the…

Optimization and Control · Mathematics 2020-04-20 Mattia Zorzi

Optimal sensor placement is essential for state estimation and effective network monitoring. As known in the literature, this problem becomes particularly challenging in large-scale undirected or bidirected cyclic networks with parametric…

Systems and Control · Electrical Eng. & Systems 2026-01-19 J. J. H. van Gemert , V. Breschi , D. R. Yntema , K. J. Keesman , M. Lazar

This study considers the object localization problem and proposes a novel multiparticle Kalman filter to solve it in complex and symmetric environments. Two well-known classes of filtering algorithms to solve the localization problem are…

Robotics · Computer Science 2023-03-15 Roman Korkin , Ivan Oseledets , Aleksandr Katrutsa

This paper studies the design of detection observers against stealthy bias injection attacks in stochastic linear systems under Gaussian noise, considering adversaries that exploit noise and inject crafted bias signals into a subset of…

Systems and Control · Electrical Eng. & Systems 2026-01-22 Jingwei Dong , André M. H. Teixeira

Sensor placement optimization methods have been studied extensively. They can be applied to a wide range of applications, including surveillance of known environments, optimal locations for 5G towers, and placement of missile defense…

Machine Learning · Computer Science 2024-05-22 Lukas Taus , Yen-Hsi Richard Tsai

Location information of sensor nodes has become an essential part of many applications in Wireless Sensor Networks (WSN). The importance of location estimation and object tracking has made them the target of many security attacks. Various…

Networking and Internet Architecture · Computer Science 2012-04-17 Ali P. Fard , Mahdy Nabaee
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