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Dynamic Mode Decomposition (DMD) is a data-driven technique to identify a low dimensional linear time invariant dynamics underlying high-dimensional data. For systems in which such underlying low-dimensional dynamics is time-varying, a…

Signal Processing · Electrical Eng. & Systems 2020-04-09 Mustaffa Alfatlawi , Vaibhav Srivastava

This paper presents a concise overview of sensitivity-based methods for solving large-scale optimization problems in distributed fashion. The approach relies on sensitivities and primal decomposition to achieve coordination between the…

Optimization and Control · Mathematics 2025-12-10 Maximilian Pierer von Esch , Andreas Völz , Knut Graichen

We propose a multiscale approach for predicting quantities in dynamical systems which is explicitly structured to extract information in both fine-to-coarse and coarse-to-fine directions. We envision this method being generally applicable…

Atmospheric and Oceanic Physics · Physics 2025-12-30 Karl Otness , Laure Zanna , Joan Bruna

Event-B is a refinement-based formal method that has been shown to be useful in developing concurrent and distributed programs. Large models can be decomposed into sub-models that can be refined semi-independently and executed in parallel.…

Logic in Computer Science · Computer Science 2011-06-22 Pontus Boström , Fredrik Degerlund , Kaisa Sere , Marina Waldén

The exploration of high-speed movement by robots or road traffic agents is crucial for autonomous driving and navigation. Trajectory prediction at high speeds requires considering historical features and interactions with surrounding…

Robotics · Computer Science 2024-05-14 Yao Liu , Ruoyu Wang , Yuanjiang Cao , Quan Z. Sheng , Lina Yao

Cataloging the complex behaviors of dynamical systems can be challenging, even when they are well-described by a simple mechanistic model. If such a system is of limited analytical tractability, brute force simulation is often the only…

Machine Learning · Computer Science 2023-01-04 Hunter Elliott

Data-driven methods for the identification of the governing equations of dynamical systems or the computation of reduced surrogate models play an increasingly important role in many application areas such as physics, chemistry, biology, and…

Dynamical Systems · Mathematics 2024-12-17 Stefan Klus , Hongyu Zhu

For large-scale industrial processes under closed-loop control, process dynamics directly resulting from control action are typical characteristics and may show different behaviors between real faults and normal changes of operating…

Systems and Control · Computer Science 2018-09-11 Wenqing Li , Chunhui Zhao , Biao Huang

This paper presents a method for investigating, through an automatic procedure, the (lack of) identifiability of parametrized dynamical models. This method takes into account constraints on parameters and returns parameters whose…

Dynamical Systems · Mathematics 2016-10-11 Nathalie Verdière , Sébastien Orange

Handheld devices, while growing rapidly, are inherently constrained and lack the capability of executing resource hungry applications. This paper presents the design and implementation of distributed analysis and load-balancing system for…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Naveed Ahmad , Arshad Ali , Ashiq Anjum , Tahir Azim , Julian Bunn , Ali Hassan , Ahsan Ikram , Frank van Lingen , Richard McClatchey , Harvey Newman , Conrad Steenberg , Michael Thomas , Ian Willers

In order to illustrate the adaptation of traditional continuum numerical techniques to the study of complex network systems, we use the equation-free framework to analyze a dynamically evolving multigraph. This approach is based on coupling…

Data Analysis, Statistics and Probability · Physics 2016-11-03 Alexander Holiday , Ioannis G. Kevrekidis

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…

Dynamical Systems · Mathematics 2016-05-30 I. Yu. Tyukin , A. N. Gorban , T. A. Tyukina , J. Al Ameri , Yu. A. Korablev

This paper presents a technique which exploits the occurrence of certain events as observed by different sensors, to detect and classify objects. This technique explores the extent of dependence between features being observed by the…

Signal Processing · Electrical Eng. & Systems 2021-03-08 Siddharth Roheda , Hamid Krim , Zhi-Quan Luo , Tianfu Wu

This paper generalises dynamic factor models for multidimensional dependent data. In doing so, it develops an interpretable technique to study complex information sources ranging from repeated surveys with a varying number of respondents to…

Econometrics · Economics 2023-01-31 Matteo Barigozzi , Filippo Pellegrino

Bifurcations mark qualitative changes of long-term behavior in dynamical systems and can often signal sudden ("hard") transitions or catastrophic events (divergences). Accurately locating them is critical not just for deeper understanding…

Machine Learning · Computer Science 2024-06-18 Yorgos M. Psarellis , Themistoklis P. Sapsis , Ioannis G. Kevrekidis

We propose and study a system whose dynamics are governed by predictions of its future states. General formalism and concrete examples are presented. We find that the dynamical characteristics depend on both how to shape predictions as well…

Other Condensed Matter · Physics 2007-05-23 Toru Ohira

In this paper, we propose a novel framework for modeling and analysis of networked discrete-event systems (DES). We assume that the plant is controlled by a feedback supervisor whose control decisions are subject to communication delays and…

Systems and Control · Electrical Eng. & Systems 2020-04-07 Zhaocong Liu , Xiang Yin , Shaoyuan Li

We investigate the scenario where a perturbed nonlinear system transmits its output measurements to a remote observer via a packet-based communication network. The sensors are grouped into N nodes and each of these nodes decides when its…

Systems and Control · Electrical Eng. & Systems 2022-10-10 E. Petri , R. Postoyan , D. Astolfi , D. Nešić , W. P. M. H. Heemels

We present a subjective selection of methods for complex systems analysis ranging from statistical tools through numerical methods based on AI to both linear and non-linear ODEs and PDEs. All the notions apply the network structure and are…

A crucial challenge in decentralized systems is state estimation in the presence of unknown inputs, particularly within heterogeneous sensor networks with dynamic topologies. While numerous consensus algorithms have been introduced, they…

Systems and Control · Electrical Eng. & Systems 2024-12-13 Zida Wu , Ankur Mehta