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We propose a novel method for fast and scalable evaluation of periodic solutions of systems of ordinary differential equations for a given set of parameter values and initial conditions. The equations governing the system dynamics are…

动力系统 · 数学 2016-05-30 I. Yu. Tyukin , A. N. Gorban , T. A. Tyukina , J. Al Ameri , Yu. A. Korablev

Simulation is an efficient tool in the design and control of power electronic systems. However, quick and accurate simulation of them is still challenging, especially when the system contains a large number of switches and state variables.…

系统与控制 · 电气工程与系统科学 2023-12-11 Han Xu , Bochen Shi , Zhujun Yu , Jialin Zheng , Zhengming Zhao

Sparse system identification of nonlinear dynamic systems is still challenging, especially for stiff and high-order differential equations for noisy measurement data. The use of highly correlated functions makes distinguishing between true…

计算物理 · 物理学 2025-12-19 Ashish Pal , Sutanu Bhowmick , Satish Nagarajaiah

Data collected from arrays of sensors are essential for informed decision-making in various systems. However, the presence of anomalies can compromise the accuracy and reliability of insights drawn from the collected data or information…

应用统计 · 统计学 2024-03-19 Katie Buchhorn , Kerrie Mengersen , Edgar Santos-Fernandez , James McGree

It is by now established that, remarkably, the addition of noise to a nonlinear system may sometimes facilitate, rather than hamper the detection of weak signals. This phenomenon, usually referred to as stochastic resonance, was originally…

凝聚态物理 · 物理学 2009-10-31 Redouane Fakir

The study of multiplicative noise models has a long history in control theory but is re-emerging in the context of complex networked systems and systems with learning-based control. We consider linear system identification with…

系统与控制 · 电气工程与系统科学 2020-07-06 Yu Xing , Ben Gravell , Xingkang He , Karl Henrik Johansson , Tyler Summers

This paper addresses the problem of estimating the modes of an observed non-stationary mixture signal in the presence of an arbitrary distributed noise. A novel Bayesian model is introduced to estimate the model parameters from the…

信号处理 · 电气工程与系统科学 2022-03-31 Quentin Legros , Dominique Fourer , Sylvain Meignen , Marcelo A. Colominas

As saturated output observations are ubiquitous in practice, identifying stochastic systems with such nonlinear observations is a fundamental problem across various fields. This paper investigates the asymptotically efficient identification…

机器学习 · 计算机科学 2025-04-07 Lantian Zhang , Lei Guo

Motivated by emerging technologies for energy efficient analog computing and continuous-time processing, this paper proposes continuous-time minimum mean squared error estimation for multiple-input multiple-output (MIMO) systems based on an…

信息论 · 计算机科学 2022-09-05 Ayano Nakai-Kasai , Tadashi Wadayama

We present a computationally efficient algorithm for stable numerical differentiation from noisy, uniformly-sampled data on a bounded interval. The method combines multi-interval Fourier extension approximations with an adaptive domain…

数值分析 · 数学 2025-08-29 Zhenyu Zhao , Yanfei Wang , Xinran Liu

Motivated by the Internet-of-things and sensor networks for cyberphysical systems, the problem of dynamic sensor activation for the centralized tracking of an i.i.d. time-varying process is examined. The tradeoff is between energy…

最优化与控制 · 数学 2018-04-12 Arpan Chattopadhyay , Urbashi Mitra

This paper presents a system identification framework -- inspired by multi-task learning -- to estimate the dynamics of a given number of linear time-invariant (LTI) systems jointly by leveraging structural similarities across the systems.…

系统与控制 · 电气工程与系统科学 2023-09-12 Yiting Chen , Ana M. Ospina , Fabio Pasqualetti , Emiliano Dall'Anese

This paper attacks time-domain identification for interaction parameters of a heterogeneous networked dynamic system (NDS), with each of its subsystems being described by a continuous-time descriptor quadratic-bilinear time-invariant (QBTI)…

多智能体系统 · 计算机科学 2025-11-11 Tong Zhou , Yubing Li

This paper addresses the dual challenge of improving anomaly detection and signal integrity in high-speed dynamic random access memory signals. To achieve this, we propose a joint training framework that integrates an autoencoder with a…

机器学习 · 计算机科学 2025-06-24 Muhammad Usama , Hee-Deok Jang , Soham Shanbhag , Yoo-Chang Sung , Seung-Jun Bae , Dong Eui Chang

In this paper, we present an optimal filter for linear time-varying continuous-time stochastic systems that simultaneously estimates the states and unknown inputs in an unbiased minimum-variance sense. We first show that the unknown inputs…

最优化与控制 · 数学 2016-11-17 Sze Zheng Yong , Minghui Zhu , Emilio Frazzoli

The subspace identification method (SIM) has been extensively employed in the identification of discrete-time multiple-input multiple-output (MIMO) linear time-invariant (LTI) systems. This paper focuses on the analysis of perturbation…

系统与控制 · 电气工程与系统科学 2025-08-25 Shuai Sun

Machine learning is becoming increasingly important for nonlinear system identification, including dynamical systems with spatially distributed outputs. However, classical identification and forecasting approaches become markedly less…

系统与控制 · 电气工程与系统科学 2026-04-21 Achraf El Messaoudi , Noureddine Khaous , Karim Cherifi

In this paper we develop a method for learning nonlinear systems with multiple outputs and inputs. We begin by modelling the errors of a nominal predictor of the system using a latent variable framework. Then using the maximum likelihood…

机器学习 · 统计学 2018-05-28 Per Mattsson , Dave Zachariah , Petre Stoica

Neural ordinary differential equations (NODE) have been recently proposed as a promising approach for nonlinear system identification tasks. In this work, we systematically compare their predictive performance with current state-of-the-art…

机器学习 · 计算机科学 2022-03-16 Aowabin Rahman , Ján Drgoňa , Aaron Tuor , Jan Strube

A new class of stochastic processes called independent and periodically identically distributed (i.p.i.d.) processes is defined to capture periodically varying statistical behavior. Algorithms are proposed to detect changes in such i.p.i.d.…

统计理论 · 数学 2018-10-31 Taposh Banerjee , Prudhvi Gurram , Gene Whipps
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