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Identifying dynamical systems from experimental data is a notably difficult task. Prior knowledge generally helps, but the extent of this knowledge varies with the application, and customized models are often needed. Neural ordinary…

系统与控制 · 电气工程与系统科学 2023-01-13 Mona Buisson-Fenet , Valery Morgenthaler , Sebastian Trimpe , Florent Di Meglio

Non-stationary systems are found throughout the world, from climate patterns under the influence of variation in carbon dioxide concentration, to brain dynamics driven by ascending neuromodulation. Accordingly, there is a need for methods…

数据分析、统计与概率 · 物理学 2024-07-15 Kieran S. Owens , Ben D. Fulcher

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 several crucial applications, domain knowledge is encoded by a system of ordinary differential equations (ODE), often stemming from underlying physical and biological processes. A motivating example is intensive care unit patients: the…

机器学习 · 统计学 2021-03-31 Ori Linial , Neta Ravid , Danny Eytan , Uri Shalit

This paper presents a data-integrated framework for learning the dynamics of fractional-order nonlinear systems in both discrete-time and continuous-time settings. The proposed framework consists of two main steps. In the first step,…

系统与控制 · 电气工程与系统科学 2025-06-19 Bahram Yaghooti , Chengyu Li , Bruno Sinopoli

Autonomous agents are limited in their ability to observe the world state. Partially observable Markov decision processes (POMDPs) formally model the problem of planning under world state uncertainty, but POMDPs with continuous actions and…

机器人学 · 计算机科学 2020-07-08 Dicong Qiu , Yibiao Zhao , Chris L. Baker

This paper is concerned with identifying linear system dynamics without the knowledge of individual system trajectories, but from the knowledge of the system's reachable sets observed at different times. Motivated by a scenario where the…

系统与控制 · 电气工程与系统科学 2023-09-11 Taha Shafa , Roy Dong , Melkior Ornik

In real-world applications, we often require reliable decision making under dynamics uncertainties using noisy high-dimensional sensory data. Recently, we have seen an increasing number of learning-based control algorithms developed to…

系统与控制 · 电气工程与系统科学 2022-12-20 Lukas Brunke , Siqi Zhou , Angela P. Schoellig

Structural identifiability is a property of a differential model with parameters that allows for the parameters to be determined from the model equations in the absence of noise. The method of input-output equations is one method for…

动力系统 · 数学 2022-01-28 Alexey Ovchinnikov , Gleb Pogudin , Peter Thompson

In a Networked Dynamical System (NDS), each node is a system whose dynamics are coupled with the dynamics of neighboring nodes. The global dynamics naturally builds on this network of couplings and it is often excited by a noise input with…

机器学习 · 计算机科学 2023-12-19 Augusto Santos , Diogo Rente , Rui Seabra , José M. F. Moura

Machine learning-based techniques open up many opportunities and improvements to derive deeper and more practical insights from data that can help businesses make informed decisions. However, the majority of these techniques focus on the…

机器学习 · 计算机科学 2024-05-10 Atefeh Mahdavi , Marco Carvalho

This paper introduces a multiple-input discrete Urysohn operator for modelling non-linear control systems and a technique of its identification by processing the observed input and output signals. It is shown that, due to the nature of the…

最优化与控制 · 数学 2020-04-07 Michael Poluektov , Andrew Polar

Data-driven modelling and scientific machine learning have been responsible for significant advances in determining suitable models to describe data. Within dynamical systems, neural ordinary differential equations (ODEs), where the system…

机器学习 · 计算机科学 2024-05-08 Gevik Grigorian , Sandip V. George , Simon Arridge

This paper proposes a novel fault detection and isolation (FDI) scheme for distributed parameter systems modeled by a class of parabolic partial differential equations (PDEs) with nonlinear uncertain dynamics. A key feature of the proposed…

系统与控制 · 电气工程与系统科学 2022-03-31 Jingting Zhang , Chengzhi Yuan , Wei Zeng , Cong Wang

This work presents a notion of strong detectability for linear time varying systems affected by unknown inputs. It is shown that this notion is equivalent to detectability of an auxiliary system without unknown inputs. This allows a…

系统与控制 · 电气工程与系统科学 2021-03-24 Markus Tranninger , Richard Seeber , Juan G. Rueda-Escobedo , Martin Horn

Predictive algorithms inform consequential decisions in settings with selective labels: outcomes are observed only for units selected by past decision makers. This creates an identification problem under unobserved confounding -- when…

计量经济学 · 经济学 2025-11-07 Ashesh Rambachan , Amanda Coston , Edward Kennedy

Designing observers for linear systems with both known and unknown inputs is an important problem in several research contexts, for example, fault diagnosis and fault-tolerant control, and cyber-secure control systems, and presents…

系统与控制 · 电气工程与系统科学 2025-09-11 Ruixuan Zhao , Guitao Yang , Thomas Parisini , Boli Chen

Dynamical systems, prevalent in various scientific and engineering domains, are susceptible to anomalies that can significantly impact their performance and reliability. This paper addresses the critical challenges of anomaly detection,…

机器学习 · 计算机科学 2025-07-18 Yue Sun , Rick S. Blum , Parv Venkitasubramaniam

Applying machine learning to increasingly high-dimensional problems with sparse or biased training data increases the risk that a model is used on inputs outside its training domain. For such out-of-distribution (OOD) inputs, the model can…

机器学习 · 计算机科学 2025-03-10 Juniper Tyree , Andreas Rupp , Petri S. Clusius , Michael H. Boy

Deciding which sensing capabilities to deploy on an agent in uncertain domains is a fundamental engineering challenge, in which one balances task achievability against the high costs of hardware and processing. This problem has previously…