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We present a geometric approach to designing distributed unknown input observers (DUIOs) for linear time-invariant systems, where measurements are distributed across nodes and each node is influenced by \emph{unknown inputs} through…

系统与控制 · 电气工程与系统科学 2026-03-20 Ruixuan Zhao , Guitao Yang , Thomas Parisini , Boli Chen

The dynamics of systems biological processes are usually modeled by a system of ordinary differential equations (ODEs) with many unknown parameters that need to be inferred from noisy and sparse measurements. Here, we introduce…

定量方法 · 定量生物学 2022-02-04 Mitchell Daneker , Zhen Zhang , George Em Karniadakis , Lu Lu

A variety of complex biological, natural and man-made systems exhibit non-Markovian dynamics that can be modeled through fractional order differential equations, yet, we lack sample comlexity aware system identification strategies. Towards…

系统与控制 · 电气工程与系统科学 2025-06-23 Xiaole Zhang , Vijay Gupta , Paul Bogdan

We present a new technique for verifying nonlinear and hybrid models with inputs. We observe that once an input signal is fixed, the sensitivity analysis of the model can be computed much more precisely. Based on this result, we propose a…

系统与控制 · 计算机科学 2018-03-09 Chuchu Fan , Yu Meng , Jürgen Maier , Ezio Bartocci , Sayan Mitra , Ulrich Schmid

This paper discusses the observability of nonlinear Dynamical Systems over Finite Fields (DSFF) through the Koopman operator framework. In this work, given a nonlinear DSFF, we construct a linear system of the smallest dimension, called the…

系统与控制 · 电气工程与系统科学 2024-04-04 Ramachandran Anantharaman , Virendra Sule

A dynamical system is observable if there is a one-to-one mapping from the system's measured outputs and inputs to all of the system's states. Analytical and empirical tools exist for quantifying the (full state) observability of linear and…

系统与控制 · 电气工程与系统科学 2023-09-15 Benjamin Cellini , Burak Boyacıoğlu , Floris van Breugel

Predicting scene dynamics from visual observations is challenging. Existing methods capture dynamics only within observed boundaries failing to extrapolate far beyond the training sequence. Node-RF (Neural ODE-based NeRF) overcomes this…

计算机视觉与模式识别 · 计算机科学 2026-03-16 Hiran Sarkar , Liming Kuang , Yordanka Velikova , Benjamin Busam

Motivated by certain applications from physics, biochemistry, economics, and computer science, in which the objects under investigation are not accessible because of various limitations, we propose a trial-and-error model to examine…

计算复杂性 · 计算机科学 2013-04-19 Xiaohui Bei , Ning Chen , Shengyu Zhang

This paper discusses stability and robustness properties of a recently proposed observer algorithm for linear time varying systems. The observer is based on the approximation and subsequent modification of the non-negative Lyapunov…

最优化与控制 · 数学 2018-09-19 Markus Tranninger , Sergiy Zhuk , Martin Steinberger , Leonid Fridman , Martin Horn

With the of advent rich classification models and high computational power visual recognition systems have found many operational applications. Recognition in the real world poses multiple challenges that are not apparent in controlled lab…

计算机视觉与模式识别 · 计算机科学 2015-12-01 Abhijit Bendale , Terrance Boult

We study the fundamental problem of learning a marginally stable unknown nonlinear dynamical system. We describe an algorithm for this problem, based on the technique of spectral filtering, which learns a mapping from past observations to…

机器学习 · 计算机科学 2025-08-19 Evan Dogariu , Anand Brahmbhatt , Elad Hazan

Deep learning provides a powerful tool for machine perception when the observations resemble the training data. However, real-world robotic systems must react intelligently to their observations even in unexpected circumstances. This…

机器学习 · 计算机科学 2018-12-31 Rowan McAllister , Gregory Kahn , Jeff Clune , Sergey Levine

In this note, we propose a novel approach for a class of autonomous dynamical systems that allows, given some observations of the solutions, to identify its parameters and reconstruct the state vector. This approach relies on proving the…

动力系统 · 数学 2024-08-22 Alicja B Kubik , Alain Rapaport , Benjamin Ivorra , Ángel M Ramos

This paper proposes a novel approach for designing functional observers for nonlinear systems, with linear error dynamics and assignable poles. Sufficient conditions for functional observability are first derived, leading to functional…

系统与控制 · 电气工程与系统科学 2025-01-03 Costas Kravaris

Recent work has focused on data-driven learning of the evolution of unknown systems via deep neural networks (DNNs), with the goal of conducting long term prediction of the dynamics of the unknown system. In many real-world applications,…

机器学习 · 计算机科学 2022-06-07 Victor Churchill , Dongbin Xiu

The identifiability analysis of linear Ordinary Differential Equation (ODE) systems is a necessary prerequisite for making reliable causal inferences about these systems. While identifiability has been well studied in scenarios where the…

机器学习 · 统计学 2024-10-31 Yuanyuan Wang , Biwei Huang , Wei Huang , Xi Geng , Mingming Gong

This is the last part of four series papers, aiming at stabilization for signal-input-signaloutput (SISO) linear finite-dimensional systems corrupted by general input disturbances. A new observer, referred to as Extended Dynamics Observer…

系统与控制 · 电气工程与系统科学 2020-11-13 Hongyinping Feng , Bao-Zhu Guo

In various applications in the field of control engineering the estimation of the state variables of dynamic systems in the presence of unknown inputs plays an important role. Existing methods require the so-called observer matching…

系统与控制 · 电气工程与系统科学 2022-04-08 Helmut Niederwieser , Markus Tranninger , Richard Seeber , Markus Reichhartinger

This paper focuses on the system identification of an important class of nonlinear systems: linearly parameterized nonlinear systems, which enjoys wide applications in robotics and other mechanical systems. We consider two system…

系统与控制 · 电气工程与系统科学 2024-11-22 Negin Musavi , Ziyao Guo , Geir Dullerud , Yingying Li

The identification of a mathematical dynamics model is a crucial step in the designing process of a controller. However, it is often very difficult to identify the system's governing equations, especially in complex environments that…

系统与控制 · 电气工程与系统科学 2024-07-01 Tobias Nagel , Marco F. Huber