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In this paper we propose a solution to the problem of parameter estimation of nonlinearly parameterized regressions--continuous or discrete time--and apply it for system identification and adaptive control. We restrict our attention to…

最优化与控制 · 数学 2019-10-18 Romeo Ortega , Vladislav Gromov , Emmanuel Nuño , Anton Pyrkin , Jose Guadalupe Romero

In the present work, a simple algorithm for stabilizing an unknown linear time-invariant system is proposed, assuming only that this system is stabilizable. The suggested algorithm is based on first performing a partial identification of…

最优化与控制 · 数学 2022-11-14 Dennis Gramlich , Christian Ebenbauer

We present a Bayesian methodology for infinite as well as finite dimensional parameter identification for partial differential equation models. The Bayesian framework provides a rigorous mathematical framework for incorporating prior…

定量方法 · 定量生物学 2016-05-17 Eduard Campillo-Funollet , Chandrasekhar Venkataraman , Anotida Madzvamuse

Given a linear unknown system with $m$ inputs, $p$ outputs, $n$ dimensional state vector, and $q$ dimensional ecosystem, the problem of the adaptive optimal output regulation of this system boils down to iteratively solving a set of linear…

最优化与控制 · 数学 2023-09-28 Liquan Lin , Jie Huang

Focusing on identification, this paper develops techniques to reconstruct zero and nonzero elements of a sparse parameter vector of a stochastic dynamic system under feedback control, for which the current input may depend on the past…

系统与控制 · 电气工程与系统科学 2019-09-04 Wenxiao Zhao , George G. Yin , Er-Wei Bai

Identifiability concerns finding which unknown parameters of a model can be quantified from given input-output data. Many linear ODE models, used in systems biology and pharmacokinetics, are unidentifiable, which means that parameters can…

代数几何 · 数学 2013-12-12 Nicolette Meshkat , Seth Sullivant

We propose an algorithm to actively estimate the parameters of a linear dynamical system. Given complete control over the system's input, our algorithm adaptively chooses the inputs to accelerate estimation. We show a finite time bound…

机器学习 · 计算机科学 2020-06-23 Andrew Wagenmaker , Kevin Jamieson

This paper proposes a novel kind of Unknown Input Observer (UIO) called Reset Unknown Input Observer (R-UIO) for state estimation of linear systems in the presence of disturbance using Linear Matrix Inequality (LMI) techniques. In R-UIO,…

系统与控制 · 计算机科学 2018-08-28 Iman Hosseini , Alireza Khayatian , Paknoush Karimaghaee , Mirko Fiacchini , Miguel Angel Davo

This paper details how to parameterize the posterior distribution of state-space systems to generate improved optimization problems for system identification using variational inference. Three different parameterizations of the assumed…

应用统计 · 统计学 2025-01-15 Dimas Abreu Archanjo Dutra

We introduce a geometric method for online transfer identification of a deterministic linear time-invariant system. At the beginning of the identification process, we assume access to abundant data from a system that is similar, though not…

系统与控制 · 电气工程与系统科学 2026-02-23 N. Naveen Mukesh , Debraj Chakraborty

High dimensional random dynamical systems are ubiquitous, including -- but not limited to -- cyber-physical systems, daily return on different stocks of S&P 1500 and velocity profile of interacting particle systems around McKeanVlasov…

统计理论 · 数学 2023-10-17 Muhammad Abdullah Naeem , Amir Khazraei , Miroslav Pajic

We address the inverse problem of identifying a time-dependent potential coefficient in a one-dimensional diffusion equation subject to Dirichlet boundary conditions and a nonlocal integral overdetermination constraint reflecting spatially…

数值分析 · 数学 2025-11-12 Arshyn Altybay , Michael Ruzhansky

In several model-based system maintenance problems, parameters are used to represent unknown characteristics of a component, equipment degradation, etc. This allows for modelling constant, slow-varying terms. The identifiability of these…

最优化与控制 · 数学 2020-03-24 Krishnan Srinivasarengan , José Ragot , Christophe Aubrun , Didier Maquin

The design of unknown-input decoupled observers and filters requires the assumption of an existence condition in the literature. This paper addresses an unknown input filtering problem where the existence condition is not satisfied. Instead…

系统与控制 · 计算机科学 2020-05-05 Peng Lu , Erik-Jan van Kampen , Cornelis C. de Visser , Qiping Chu

We propose a technique for the design and analysis of adaptation algorithms in dynamical systems. The technique applies both to systems with conventional Lyapunov-stable target dynamics and to ones of which the desired dynamics around the…

最优化与控制 · 数学 2007-05-23 Tyukin Ivan , Danil Prokhorov , Cees van Leeuwen

This paper addresses distributed parameter estimation in randomized one-hidden-layer neural networks. A group of agents sequentially receive measurements of an unknown parameter that is only partially observable to them. In this paper, we…

系统与控制 · 电气工程与系统科学 2020-03-23 Yinsong Wang , Shahin Shahrampour

We propose a feedforward input-shaping framework with online parameter estimation for unknown second-order systems. The proposed approach eliminates the need for prior knowledge of system parameters when designing input shaping for precise…

系统与控制 · 电气工程与系统科学 2026-01-27 Nyi Nyi Aung , Bradley Wight , Adrian Stein

Identification of the unknown parameters and orders of fractional chaotic systems is of vital significance in controlling and synchronization of fractional-order chaotic systems. In this paper, a non-Lyapunov novel approach is proposed to…

混沌动力学 · 物理学 2012-08-13 Fei Gao , Feng-xia Fei , Qian Xu , Yan-fang Deng , Yi-bo Qi

In a pedagogical but exhaustive manner, this survey reviews the main results on input-to-state stability (ISS) for infinite-dimensional systems. This property allows estimating the impact of inputs and initial conditions on both the…

最优化与控制 · 数学 2020-03-09 Andrii Mironchenko , Christophe Prieur

We consider the computation of H-infinity norms for Single-Input-Single-Output (SISO) time-delay systems, which are described by delay differential algebraic equations. Unlike the iterative level set methods in the literature, we present a…

系统与控制 · 电气工程与系统科学 2020-03-24 Suat Gumussoy , Wim Michiels