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For a class of uncertain systems with large-error sensing, the low-order stable signal corrector and observer are presented for signal correction and uncertainty estimation according to completely decoupling estimation. The signal corrector…

Systems and Control · Electrical Eng. & Systems 2022-08-12 Xinhua Wang

This paper studies distributed adaptive estimation over sensor networks with partially unknown source dynamics. We present parallel continuous-time and discrete-time designs in which each node runs a local adaptive observer and exchanges…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Moh Kamalul Wafi , Hamidreza Montazeri Hedesh , Milad Siami

Physical dynamical systems can be viewed as natural information processors: their systems preserve, transform, and disperse input information. This perspective motivates learning not only from data generated by such systems, but also how to…

Machine Learning · Computer Science 2026-03-05 Felix Köster , Atsushi Uchida

The wave equation on a bounded domain of $\R^{n}$ with non homogeneous boundary Dirichlet data or sources supported on a subset of the boundary is considered. We analyze the problem of observing the source out of boundary measurements done…

Analysis of PDEs · Mathematics 2023-12-18 Belhassen Dehman , Enrique Zuazua

An observer based adaptive detection methodology (ADM) is proposed for estimating frequency and its rate of change (RoCoF) of the voltage and/or current measurements acquired from an instrument transformer. With guaranteed convergence and…

Systems and Control · Electrical Eng. & Systems 2021-05-04 Abdul Saleem Mir , Abhinav Kumar Singh , Nilanjan Senroy

This paper proposes a new mathematical formulation for flow measurement based on the inverse source problem for wave equations with partial boundary measurement. Inspired by the design of acoustic Doppler current profilers (ADCPs), we…

Optimization and Control · Mathematics 2025-03-19 Jiwei Li , Lingyun Qiu , Zhongjing Wang , Hui Yu

We address the problem of dynamic output feedback stabilization at an unobservable target point. The challenge lies in according the antagonistic nature of the objective and the properties of the system: the system tends to be less…

Optimization and Control · Mathematics 2022-02-02 Lucas Brivadis , Jean-Paul Gauthier , Ludovic Sacchelli , Ulysse Serres

In order to address the nonlinear multi-agent formation tracking control problem with input constraints and unknown communication faults, a novel adaptive distributed observer-based distributed model predictive control method is developed…

Systems and Control · Electrical Eng. & Systems 2024-11-01 Binyan Xu , Yufan Dai , Afzal Suleman , Yang Shi

We analyze the sidewise controllability for the variable coefficients one-dimensional wave equation. The control is acting on one extreme of the string with the aim that the solution tracks a given path at the other free end. This sidewise…

Optimization and Control · Mathematics 2021-12-07 Yesim Sarac , Enrique Zuazua

We consider the problem of forecasting complex, nonlinear space-time processes when observations provide only partial information of on the system's state. We propose a natural data-driven framework, where the system's dynamics are modelled…

Systems and Control · Computer Science 2019-03-01 Ibrahim Ayed , Emmanuel de Bézenac , Arthur Pajot , Julien Brajard , Patrick Gallinari

We introduce an adaptive method with formal quality guarantees for weak supervision in a non-stationary setting. Our goal is to infer the unknown labels of a sequence of data by using weak supervision sources that provide independent noisy…

Machine Learning · Computer Science 2025-05-05 Alessio Mazzetto , Reza Esfandiarpoor , Akash Singirikonda , Eli Upfal , Stephen H. Bach

In this paper, we introduce the concept of observability of targeted state variables for systems that may not be fully observable. For their estimation, we introduce and exemplify a deep filter, which is a neural network specifically…

Systems and Control · Electrical Eng. & Systems 2022-01-13 Wei Kang , Liang Xu , Hong Zhou

In this paper, we establish some important results for the impulsive wave equation. We begin by proving the existence of a solution. Then, we study the impulse approximate controllability where the control function acts on a subdomain…

Optimization and Control · Mathematics 2021-06-08 Walid Zouhair , Akram Ben Aissa

The partially observed linear Gaussian system of stochastic differential equations with low noise in observations is considered. A kernel-type estimators are used for estimation of the quadratic variation of the derivative of the limit of…

Statistics Theory · Mathematics 2022-11-23 Yury A. Kutoyants

In this paper, we introduce a new sliding mode observer for Lur'e set-valued dynamical systems, particularly addressing challenges posed by uncertainties not within the standard range of observation. Traditionally, most of Luenberger-like…

Optimization and Control · Mathematics 2024-04-26 Samir Adly , Jun Huang , Ba Khiet Le

In this paper, adaptive estimation based on noisy quantized observations is studied. A low complexity adaptive algorithm using a quantizer with adjustable input gain and offset is presented. Three possible scalar models for the parameter to…

Information Theory · Computer Science 2012-10-15 Rodrigo Cabral Farias , Jean-Marc Brossier

In this paper we introduce the randomised stability constant for abstract inverse problems, as a generalisation of the randomised observability constant, which was studied in the context of observability inequalities for the linear wave…

Analysis of PDEs · Mathematics 2020-07-16 Giovanni S. Alberti , Yves Capdeboscq , Yannick Privat

In this paper, we review some recent results about the use of dynamic observers for fault diagnosis of discrete event systems. Fault diagnosis consists in synthesizing a diagnoser that observes a given plant and identifies faults in the…

Formal Languages and Automata Theory · Computer Science 2010-04-19 Franck Cassez , Stavros Tripakis

In many practical settings one can sequentially and adaptively guide the collection of future data, based on information extracted from data collected previously. These sequential data collection procedures are known by different names,…

Statistics Theory · Mathematics 2013-11-28 Ervin Tánczos , Rui M. Castro

In this paper, robust control with sea state observer and dynamic thrust allocation is proposed for the Dynamic Positioning (DP) of an accommodation vessel in the presence of unknown hydrodynamic force variation and the input time delay. In…

Neural and Evolutionary Computing · Computer Science 2019-10-01 Fangwen Tu , Shuzhi Sam Ge , Yoo Sang Choo , Chang Chieh Hang