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This paper investigates sensor scheduling for state estimation of complex networks over shared transmission channels. For a complex network of dynamical systems, referred to as nodes, a sensor network is adopted to measure and estimate the…

Systems and Control · Electrical Eng. & Systems 2023-01-12 Peihu Duan , Lidong He , Lingying Huang , Guanrong Chen , Ling Shi

The increasing integration of distributed energy resources (DERs) is transforming power systems into complex, decentralized networks, particularly at the distribution level, where active distribution networks (ADNs) introduce new challenges…

Optimization and Control · Mathematics 2025-07-14 J. G. De la Varga , J. M. Morales , S. Pineda

The invariant filtering theory based on the group theory has been successful in statistical filtering methods. However, there exists a class of state estimation problems with unknown statistical properties of noise disturbances, and it is…

Systems and Control · Electrical Eng. & Systems 2025-06-11 Tao Li , Yi Li , Lulin Zhang , Jiuxiang Dong

This paper addresses the problem of resilient state estimation and attack reconstruction for bounded-error nonlinear discrete-time systems with nonlinear observations/ constraints, where both sensors and actuators can be compromised by…

Systems and Control · Electrical Eng. & Systems 2023-09-26 Mohammad Khajenejad , Zeyuan Jin , Thach Ngoc Dinh , Sze Zheng Yong

Quantum state estimation for continuously monitored dynamical systems involves assigning a quantum state to an individual system at some time, conditioned on the results of continuous observations. The quality of the estimation depends on…

Quantum Physics · Physics 2022-05-26 Areeya Chantasri , Ivonne Guevara , Kiarn T. Laverick , Howard M. Wiseman

The problem of state reconstruction is considered for uncertain linear time-invariant systems with overparameterization, arbitrary state-space matrices and unknown additive perturbation described by an exosystem. A novel adaptive observer…

Systems and Control · Electrical Eng. & Systems 2024-03-14 Anton Glushchenko , Konstantin Lastochkin

This paper proposes a data-driven set-based estimation algorithm for a class of nonlinear systems with polynomial nonlinearities. Using the system's input-output data, the proposed method computes a set that guarantees the inclusion of the…

Systems and Control · Electrical Eng. & Systems 2022-04-01 Amr Alanwar , Muhammad Umar B. Niazi , Karl H. Johansson

We present a method of parameter estimation for large class of nonlinear systems, namely those in which the state consists of output derivatives and the flow is linear in the parameter. The method, which solves for the unknown parameter by…

Systems and Control · Electrical Eng. & Systems 2024-07-16 Simon Kuang , Xinfan Lin

This paper addresses the problem of decentralized, collaborative state estimation in robotic teams. In particular, this paper considers problems where individual robots estimate similar physical quantities, such as each other's position…

Parameter estimation for a parabolic linear stochastic partial differential equation in one space dimension is studied observing the solution field on a discrete grid in a fixed bounded domain. Considering an infill asymptotic regime in…

Statistics Theory · Mathematics 2019-11-26 Florian Hildebrandt , Mathias Trabs

The task of state estimation in active distribution systems faces a major challenge due to the integration of different measurements with multiple reporting rates. As a result, distribution systems are essentially unobservable in real time,…

Optimization and Control · Mathematics 2024-05-13 J. G. De la Varga , S. Pineda , J. M. Morales , Á. Porras

Artificial neural networks have recently been utilized in many feedback control systems and introduced new challenges regarding the safety of such systems. This paper considers the safe verification problem for a dynamical system with a…

Optimization and Control · Mathematics 2023-01-25 Yuhao Zhang , Xiangru Xu

A systematic Bayesian framework is developed for physics constrained parameter inference ofstochastic differential equations (SDE) from partial observations. The physical constraints arederived for stochastic climate models but are…

Data Analysis, Statistics and Probability · Physics 2016-11-25 Daniel Peavoy , Christian L. E. Franzke , Gareth O. Roberts

In this contribution we present an accelerated optimization-based approach for combined state and parameter reduction of a parametrized linear control system which is then used as a surrogate model in a Bayesian inverse setting. Following…

Optimization and Control · Mathematics 2016-08-22 Christian Himpe , Mario Ohlberger

The problem of state estimation in the setting of partially-observed discrete event systems subject to cyber attacks is considered. An operator observes a plant through a natural projection that hides the occurrence of certain events. The…

Cryptography and Security · Computer Science 2021-12-15 Qi Zhang , Carla Seatzu , Zhiwu Li , Alessandro Giua

Ensemble Kalman methods constitute an increasingly important tool in both state and parameter estimation problems. Their popularity stems from the derivative-free nature of the methodology which may be readily applied when computer code is…

Optimization and Control · Mathematics 2019-09-10 David J. Albers , Paul-Adrien Blancquart , Matthew E. Levine , Elnaz Esmaeilzadeh Seylabi , Andrew Stuart

Decentralized state estimation in a communication-constrained sensor network is considered. The exchanged estimates are dimension-reduced to reduce the communication load using a linear mapping to a lower-dimensional space. The mean squared…

Systems and Control · Electrical Eng. & Systems 2023-12-13 Robin Forsling , Fredrik Gustafsson , Zoran Sjanic , Gustaf Hendeby

This work presents a novel general regularized distributed solution for the state estimation problem in networked systems. Resting on the graph-based representation of sensor networks and adopting a multivariate least-squares approach, the…

Systems and Control · Electrical Eng. & Systems 2021-11-17 Marco Fabris , Giulia Michieletto , Angelo Cenedese

Continuous-time multi-state survival models can be used to describe health-related processes over time. In the presence of interval-censored times for transitions between the living states, the likelihood is constructed using transition…

Methodology · Statistics 2017-03-24 Robson J. M. Machado , Ardo van den Hout

Estimation of quantum states and measurements is crucial for the implementation of quantum information protocols. The standard method for each is quantum tomography. However, quantum tomography suffers from systematic errors caused by…

Quantum Physics · Physics 2018-10-19 Adam C. Keith , Charles H. Baldwin , Scott Glancy , E. Knill