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The problem of detection and possible estimation of a signal generated by a dynamic system when a variable number of noisy measurements can be taken is here considered. Assuming a Markov evolution of the system (in particular, the pair…

Information Theory · Computer Science 2022-05-12 Emanuele Grossi , Marco Lops

In this technical note, we study the mean square stability-based analysis of stochastic continuous-time linear networked systems. The stochastic uncertainty is assumed to enter multiplicatively in system dynamics through input and output…

Optimization and Control · Mathematics 2018-02-09 Sai Pushpak , Amit Diwadkar , Umesh Vaidya

State estimation for a class of linear time-invariant systems with distributed output measurements (distributed sensors) and unknown inputs is addressed in this paper. The objective is to design a network of observers such that the state…

Systems and Control · Electrical Eng. & Systems 2021-10-12 Guitao Yang , Angelo Barboni , Hamed Rezaee , Thomas Parisini

We consider a remote state estimation problem in the presence of an eavesdropper over packet dropping links. A smart sensor transmits its local estimates to a legitimate remote estimator, in the course of which an eavesdropper can randomly…

Systems and Control · Electrical Eng. & Systems 2019-10-10 Jingyi Lu , Alex S. Leong , Daniel E. Quevedo

Jump Markov linear models consists of a finite number of linear state space models and a discrete variable encoding the jumps (or switches) between the different linear models. Identifying jump Markov linear models makes for a challenging…

Computation · Statistics 2015-02-17 Andreas Svensson , Thomas B. Schön , Fredrik Lindsten

The optimization conditions for minimum error discrimination of linearly independent pure states comprise of two kinds: stationary conditions over the space of rank one projective measurements and the global maximization conditions. A…

Quantum Physics · Physics 2014-02-20 Tanmay Singal , Sibasish Ghosh

We study the problem of signal source localization using received signal strength measurements. We begin by presenting verifiable geometric conditions for sensor deployment that ensure the model's asymptotic localizability. Then we…

Systems and Control · Electrical Eng. & Systems 2025-05-20 Shenghua Hu , Guangyang Zeng , Wenchao Xue , Haitao Fang , Junfeng Wu , Biqiang Mu

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…

Systems and Control · Computer Science 2017-11-22 Damian Marelli , Mohsen Zamani , Minyue Fu

The problem of the mean-square optimal linear estimation of linear functionals which depend on the unknown values of a multidimensional continuous time stationary stochastic process is considered. Estimates are based on observations of the…

Statistics Theory · Mathematics 2025-11-11 Oleksandr Masyutka , Mikhail Moklyachuk , Maria Sidei

State estimation refers to determining the states of a dynamical system that starts from a noisy initial condition and evolves under process noise, based on noisy measurements and a known system model. For linear dynamical systems with…

Optimization and Control · Mathematics 2025-07-11 Avneet Kaur , Ruikun Zhou , Jun Liu , Kirsten Morris

We show that the sensor self-localization problem can be cast as a static parameter estimation problem for Hidden Markov Models and we implement fully decentralized versions of the Recursive Maximum Likelihood and on-line…

Optimization and Control · Mathematics 2015-06-05 Nikolas Kantas , Sumeetpal S. Singh , Arnaud Doucet

This paper studies a distributed estimation problem for time-varying/time-invariant large-scale interconnected systems (LISs). A fully distributed estimator is presented by recursively solving a distributed modified Riccati equation (DMRE)…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Zhongyao Hu , Bo Chen , Jianzheng Wang , Daniel W. C. Ho , Wen-An Zhang , Li Yu

In this paper is proposed a novel incremental iterative Gauss-Newton-Markov-Kalman filter method for state estimation of dynamic models given noisy measurements. The mathematical formulation of the proposed filter is based on the…

Optimization and Control · Mathematics 2019-09-17 Bojana Rosic

State estimation and sensor selection problems for nonlinear networks and systems are ubiquitous problems that are important for the control, monitoring, analysis, and prediction of a large number of engineered and physical systems. Sensor…

Systems and Control · Electrical Eng. & Systems 2021-03-23 Aleksandar Haber

New linear minimum mean square estimators are introduced in this paper by considering a cluster information structure in the filter design. The set of filters constructed in this way can be ordered in a lattice according to the refines of…

Optimization and Control · Mathematics 2016-01-06 Eduardo F. Costa , Benoîte de Saporta

The performance of Maximum a posteriori (MAP) estimation is studied analytically for binary symmetric multi-channel Hidden Markov processes. We reduce the estimation problem to a 1D Ising spin model and define order parameters that…

Statistical Mechanics · Physics 2015-06-11 Avik Halder , Ansuman Adhikary

We propose super-resolution MIMO channel estimators for millimeter-wave (mmWave) systems that employ hybrid analog and digital beamforming and generalized spatial modulation, respectively. Exploiting the inherent sparsity of mmWave…

Information Theory · Computer Science 2018-01-24 Hongyun Chu , Le Zheng , Xiaodong Wang

A Markov decision process-based state switching is devised, implemented, and analyzed for proximity operations of various autonomous vehicles. The framework contains a pose estimator along with a multi-state guidance algorithm. The unified…

Robotics · Computer Science 2024-10-22 Deep Parikh , Ali Hasnain Khowaja , Manoranjan Majji

We study the problem of collaboratively estimating the state of an LTI system monitored by a network of sensors, subject to the following important practical considerations: (i) certain sensors might be arbitrarily compromised by an…

Systems and Control · Computer Science 2018-01-29 Aritra Mitra , Shreyas Sundaram

Optimal symbol detection in multiple-input multiple-output (MIMO) systems is known to be an NP-hard problem. Hence, the objective of any detector of practical relevance is to get reasonably close to the optimal solution while keeping the…

Signal Processing · Electrical Eng. & Systems 2022-02-25 Nicolas Zilberstein , Chris Dick , Rahman Doost-Mohammady , Ashutosh Sabharwal , Santiago Segarra