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Misspecifications (i.e. errors on the parameters) of state space models lead to incorrect inference of the hidden states. This paper studies weakly nonlin-ear state space models with additive Gaussian noises and proposes a method for…

应用统计 · 统计学 2017-04-04 Salima El Kolei , Frédéric Patras

The article is devoted to the problem of synthesis of observers of state variables for linear stationary objects operating under conditions of noise or disturbances in the measurement channel. The paper considers a fully observable linear…

系统与控制 · 电气工程与系统科学 2023-05-26 Alexey Bobtsov , Vladimir Virobyev , Nikolay Nikolaev , Anton Pyrkin , Romeo Ortega

State-space estimation and tracking rely on accurate dynamical models to perform well. However, obtaining an vaccurate dynamical model for complex scenarios or adapting to changes in the system poses challenges to the estimation process.…

系统与控制 · 电气工程与系统科学 2025-06-10 Ondřej Straka , Jindřich Duník , Pau Closas , Tales Imbiriba

An adaptive state observer is proposed for a class of overparametrized uncertain linear time-invariant systems without restrictive requirement of their representation in the observer canonical form. It evolves the method of generalized…

系统与控制 · 电气工程与系统科学 2023-01-19 Anton Glushchenko , Konstantin Lastochkin

The article deals with the problem of synthesis of an adaptive observer of state variables of a linear time-varying SISO dynamic system. It is assumed that the control signal and the output variable are measurable. It is assumed that the…

动力系统 · 数学 2022-03-30 Alexey Bobtsov , Nikolay Nikolaev , Romeo Ortega , Olga Slita , Olga Kozachek

A new adaptive observer is proposed for a certain class of nonlinear systems with bounded unknown input and parametric uncertainty. Unlike most existing solutions, the proposed approach ensures asymptotic convergence of the unknown…

系统与控制 · 电气工程与系统科学 2024-03-21 Anton Glushchenko , Konstantin Lastochkin

We consider the problem of asymptotic reconstruction of the state and parameter values in systems of ordinary differential equations. A solution to this problem is proposed for a class of systems of which the unknowns are allowed to be…

最优化与控制 · 数学 2015-03-13 Ivan Y. Tyukin , Erik Steur , Henk Nijmeijer , Cees van Leeuwen

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…

信息论 · 计算机科学 2012-10-15 Rodrigo Cabral Farias , Jean-Marc Brossier

In this paper we address the problem of adaptive state observation of affine-inthe-states time-varying systems with delayed measurements and unknown parameters. The development of the results proposed in the [Bobtsov et al. 2021a] and in…

最优化与控制 · 数学 2021-12-07 Alexey Bobtsov , Nikolay Nikolaev , Romeo Ortega , Denis Efimov , Olga Kozachek

In the framework of noisy quantum homodyne tomography with efficiency parameter $1/2 < \eta \leq 1$, we propose a novel estimator of a quantum state whose density matrix elements $\rho_{m,n}$ decrease like $Ce^{-B(m+n)^{r/ 2}}$, for fixed…

统计理论 · 数学 2014-02-11 P Alquier , K Meziani , G Peyré

We apply a new non-parametric Bayesian method for reconstructing the evolution history of the equation-of-state $w$ of dark energy, based on applying a correlated prior for $w(z)$, to a collection of cosmological data. We combine the latest…

宇宙学与河外天体物理 · 物理学 2013-03-20 Gong-Bo Zhao , Robert G. Crittenden , Levon Pogosian , Xinmin Zhang

In this paper, we apply the recently developed generalized parameter estimation-based observer design technique for state-affine systems to the practically important case of linear time-varying descriptor systems with uncertain parameters.…

系统与控制 · 电气工程与系统科学 2024-07-22 Romeo Ortega , Alexey Bobtsov , Fernando Castanos , Nikolay Nikolaev

We consider a class of uncertain linear time-invariant overparametrized systems affected by bounded disturbances, which are described by a known exosystem with unknown initial conditions. For such systems an exponentially stable extended…

系统与控制 · 电气工程与系统科学 2024-02-14 Anton Glushchenko , Konstantin Lastochkin

Starting from limited measurements of a turbulent flow, data assimilation (DA) attempts to estimate all the spatio-temporal scales of motion. Success is dependent on whether the system is observable from the measurements, or how much of the…

流体动力学 · 物理学 2026-02-16 Andrew Cleary , Qi Wang , Tamer A. Zaki

We study the problem of sparse reconstruction from noisy undersampled measurements when the following two things are available. (1) We are given partial, and partly erroneous, knowledge of the signal's support, denoted by $T$. (2) We are…

信息论 · 计算机科学 2016-11-17 Wei Lu , Namrata Vaswani

The problem of continuous data assimilation for semilinear parabolic equations based on partial observations corrupted by noise is investigated. The noise is allowed to be multiplicative, with additive noise arising as a special case. In a…

偏微分方程分析 · 数学 2026-05-12 Jochen Bröcker , Gianmarco Del Sarto , Matthias Hieber , Filippo Palma , Tarek Zöchling

Data-driven, model-free analytics are natural choices for discovery and forecasting of complex, nonlinear systems. Methods that operate in the system state-space require either an explicit multidimensional state-space, or, one approximated…

机器学习 · 统计学 2021-03-15 Joseph Park , Gerald M Pao , Erik Stabenau , George Sugihara , Thomas Lorimer

Adaptive data analysis (ADA) involves a dynamic interaction between an analyst and a dataset owner, where the analyst submits queries sequentially, adapting them based on previous answers. This process can become adversarial, as the analyst…

人机交互 · 计算机科学 2025-01-22 Amir Hossein Hadavi , Mohammad M. Mojahedian , Mohammad Reza Aref

LISA Pathfinder (LPF), ESA's precursor mission to a gravitational wave observatory, will measure the degree to which two test-masses can be put into free-fall, aiming to demonstrate a residual relative acceleration with a power spectral…

Missing data is an universal problem in statistics. We develop a unified framework for estimating parameters defined by general estimating equations under a missing-at-random (MAR) mechanism, based on generalized entropy calibration…

统计方法学 · 统计学 2026-03-31 Mst Moushumi Pervin , Hengfang Wang , Jae Kwang Kim