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Despite the possibility to quickly compute reachable sets of large-scale linear systems, current methods are not yet widely applied by practitioners. The main reason for this is probably that current approaches are not push-button-capable…

数值分析 · 数学 2024-02-23 Mark Wetzlinger , Niklas Kochdumper , Matthias Althoff

We address the problem of estimating the inputs of a dynamical system from measurements of the system's outputs. To this end, we introduce a novel estimation algorithm that explicitly trades off bias and variance to optimally reduce the…

机器学习 · 计算机科学 2019-09-20 Sebastian Curi , Kfir Y. Levy , Andreas Krause

This article focuses on making discrete-time Adaptive Iterative Learning Control (ILC) more effective using multiple estimation models. Existing strategies use the tracking error to adjust the parametric estimates. Our strategy uses the…

系统与控制 · 电气工程与系统科学 2024-06-14 Ram Padmanabhan , Rajini Makam , Koshy George

The identification of distribution network topology and parameters is a critical problem that lays the foundation for improving network efficiency, enhancing reliability, and increasing its capacity to host distributed energy resources.…

系统与控制 · 电气工程与系统科学 2023-08-23 Ognjen Stanojev , Lucien Werner , Steven Low , Gabriela Hug

In this paper, we investigate a continuous-time linear quadratic control problem for systems with unknown matrices, where only input-output data are available. We propose an output-feedback learning framework based on a canonical nonminimal…

最优化与控制 · 数学 2026-05-19 Weijian Li , Bowen Yi , Panos J. Antsaklis , Hai Lin

Hyperparameter tuning is one of the essential steps to guarantee the convergence of machine learning models. We argue that intuition about the optimal choice of hyperparameters for stochastic gradient descent can be obtained by studying a…

无序系统与神经网络 · 物理学 2025-12-12 Chanju Park , Biagio Lucini , Gert Aarts

System identification is a fundamental problem in reinforcement learning, control theory and signal processing, and the non-asymptotic analysis of the corresponding sample complexity is challenging and elusive, even for linear time-varying…

机器学习 · 计算机科学 2020-11-30 Sen Lin , Hang Wang , Junshan Zhang

This note presents a unified analysis of the identification of dynamical systems with low-rank constraints under high-dimensional scaling. This identification problem for dynamic systems are challenging due to the intrinsic dependency of…

统计理论 · 数学 2019-12-23 Junlin Li

We propose a multiscale approach to time series autoregression, in which linear regressors for the process in question include features of its own path that live on multiple timescales. We take these multiscale features to be the recent…

统计方法学 · 统计学 2024-12-17 Rafal Baranowski , Yining Chen , Piotr Fryzlewicz

The main challenge for adaptive regulation of linear-quadratic systems is the trade-off between identification and control. An adaptive policy needs to address both the estimation of unknown dynamics parameters (exploration), as well as the…

系统与控制 · 计算机科学 2019-04-01 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

The increasing integration of intermittent renewable generation, especially at the distribution level,necessitates advanced planning and optimisation methodologies contingent on the knowledge of thegrid, specifically the admittance matrix…

系统与控制 · 电气工程与系统科学 2021-12-21 Jean-Sébastien Brouillon , Emanuele Fabbiani , Pulkit Nahata , Keith Moffat , Florian Dörfler , Giancarlo Ferrari-Trecate

Stochastic nonlinear dynamical systems can undergo rapid transitions relative to the change in their forcing, for example due to the occurrence of multiple equilibrium solutions for a specific interval of parameters. In this paper, we…

数据分析、统计与概率 · 物理学 2020-11-12 S. Baars , D. Castellana , F. W. Wubs , H. A. Dijkstra

This paper studies the problem of parameter estimation in resonant, acoustic fluid-structure interaction problems over a wide frequency range. Problems with multiple resonances are known to be subjected to local minima, which represents a…

计算物理 · 物理学 2019-03-06 Peter Göransson , Jacques Cuenca , Timo Lähivaara

The paper investigates nonlinear system identification using system output data at various linearized operating points. A feed-forward multi-layer Artificial Neural Network (ANN) based approach is used for this purpose and tested for two…

系统与控制 · 计算机科学 2016-11-17 Sayan Saha , Saptarshi Das , Anish Acharya , Abhishek Kumar , Sumit Mukherjee , Indranil Pan , Amitava Gupta

In this paper, adaptive set-point regulation controllers for discrete-time nonlinear systems are constructed. The system to be controlled is assumed to have a parametric uncertainty, and an excitation signal is used in order to obtain the…

最优化与控制 · 数学 2015-05-25 Shigeru Hanba

This paper introduces a framework for quantitative characterization of the controllability of time-varying linear systems (or networks) in terms of input novelty. The motivation for such an approach comes from the study of biophysical…

最优化与控制 · 数学 2014-11-24 Gautam Kumar , Delsin Menolascino , ShiNung Ching

Many real-world systems can be described by mathematical models that are human-comprehensible, easy to analyze and help explain the system's behavior. Symbolic regression is a method that can automatically generate such models from data.…

神经与进化计算 · 计算机科学 2023-06-28 Jiří Kubalík , Erik Derner , Robert Babuška

This paper focuses on the design of a robust decision scheme capable of operating in target-rich scenarios with unknown signal signatures (including their range positions, angles of arrival, and number) in a background of Gaussian…

信号处理 · 电气工程与系统科学 2025-04-02 Linjie Yan , Chengpeng Hao , Sudan Han , Giuseppe Ricci , Zhanhao Hu , Danilo Orlando

In this work we present a novel recurrent neural network architecture designed to model systems characterized by multiple characteristic timescales in their dynamics. The proposed network is composed by several recurrent groups of neurons…

神经与进化计算 · 计算机科学 2017-01-19 Filippo Maria Bianchi , Michael Kampffmeyer , Enrico Maiorino , Robert Jenssen

This paper presents extensions of finite-time stability results to some prototypical adaptive control and estimation frameworks. First, we present a novel scheme of online parameter estimation that guarantees convergence of the estimation…

最优化与控制 · 数学 2020-10-20 Kunal Garg , Parag Bobade , Dimitra Panagou