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This paper addresses the problem of identifying the graph structure of a dynamical network using measured input/output data. This problem is known as topology identification and has received considerable attention in recent literature. Most…

最优化与控制 · 数学 2020-05-08 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel

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

A recent research direction in data-driven modeling is the identification of dynamic networks, in which measured vertex signals are interconnected by dynamic edges represented by causal linear transfer functions. The major question…

最优化与控制 · 数学 2021-02-16 Xiaodong Cheng , Shengling Shi , Paul M. J. Van den Hof

Networks are universally considered as complex structures of interactions of large multi-component systems. In order to determine the role that each node has inside a complex network, several centrality measures have been developed. Such…

物理与社会 · 物理学 2019-08-20 Malbor Asllani , Bruno Requiao da Cunha , Ernesto Estrada , James P. Gleeson

A dynamical network, a graph whose nodes are dynamical systems, is usually characterized by a large dimensional space which is not always accesible due to the impossibility of measuring all the variables spanning the state space. Therefore,…

混沌动力学 · 物理学 2019-07-25 Irene Sendiña-Nadal , Christophe Letellier

This work studies the limitations of uniquely identifying the structure (i.e., topology) of a networked linear system from partial measurements of its nodal dynamics. In general, many networks can be consistent with these measurements; this…

系统与控制 · 电气工程与系统科学 2026-03-13 Jaidev Gill , Jing Shuang Li

Dynamic networks consist of interconnected dynamical systems. The subsystems can be viewed as transformations of input signals into output signals, where signals flow from one system into another through interconnections. The signal flows…

系统与控制 · 电气工程与系统科学 2026-04-17 E. M. M. , Kivits , Paul M. J. Van den Hof

This paper deals with the design of Excitation and Measurement Patterns (EMP) for the identification of a class of dynamical networks whose topology has the structure of a Directed Acyclic Graph (DAG). In addition to the by now well known…

系统与控制 · 电气工程与系统科学 2022-04-01 Eduardo Mapurunga , Michel Gevers , Alexandre S. Bazanella

We study the relationship between dynamical properties and interaction patterns in complex oscillator networks in the presence of noise. A striking finding is that noise leads to a general, one-to-one correspondence between the dynamical…

数据分析、统计与概率 · 物理学 2010-02-05 Jie Ren , Wen-Xu Wang , Baowen Li , Ying-Cheng Lai

One of the most central questions in network science is: which nodes are most important? Often this question is answered using structural properties such as high connectedness or centrality in the network. However, static structural…

物理与社会 · 物理学 2021-07-02 Casper van Elteren , Rick Quax , Peter Sloot

Network systems have become a ubiquitous modeling tool in many areas of science where nodes in a graph represent distributed processes and edges between nodes represent a form of dynamic coupling. When a network topology is already known…

适应与自组织系统 · 物理学 2019-05-30 Donatello Materassi , Murti V. Salapaka

The dynamics of systems of interacting agents is determined by the structure of their coupling network. The knowledge of the latter is, therefore, highly desirable, for instance, to develop efficient control schemes, to accurately predict…

适应与自组织系统 · 物理学 2021-10-13 Melvyn Tyloo , Robin Delabays , Philippe Jacquod

In this paper, we show how informativity and identifiability for networks of dynamical systems can be investigated using Gr\"obner bases. We provide a sufficient condition for informativity in terms of positive definiteness of the spectrum…

系统与控制 · 电气工程与系统科学 2026-02-27 Anders Hansson , João Victor Galvão da Mata , Martin S. Andersen

In this paper we present a sufficient condition that guarantees identifiability of linear network dynamic systems exhibiting continuous-time weighted consensus protocols with acyclic structure. Each edge of the underlying network graph…

系统与控制 · 计算机科学 2014-12-03 Seyedbehzad Nabavi , Aranya Chakrabortty , Pramod P. Khargonekar

Dynamic networks are interconnected dynamic systems with measured node signals and dynamic modules reflecting the links between the nodes. We address the problem of \red{identifying a dynamic network with known topology, on the basis of…

系统与控制 · 计算机科学 2018-10-02 Harm H. M. Weerts , Paul M. J. Van den Hof , Arne G. Dankers

The graph identification problem consists of discovering the interactions among nodes in a network given their state/feature trajectories. This problem is challenging because the behavior of a node is coupled to all the other nodes by the…

系统与控制 · 电气工程与系统科学 2023-10-24 Eduardo Sebastian , Thai Duong , Nikolay Atanasov , Eduardo Montijano , Carlos Sagues

We propose a method to identify nonlinear acyclic networks in continuous time when the dynamics are located on the edges and all the nodes are excited. We show that it is necessary and sufficient to measure all the sinks to identify any…

最优化与控制 · 数学 2026-03-05 Ramachandran Anantharaman , Renato Vizuete , Julien M. Hendrickx , Alexandre Mauroy

A faithful description of the state of a complex dynamical network would require, in principle, the measurement of all its $d$ variables, an infeasible task for systems with practical limited access and composed of many nodes with high…

混沌动力学 · 物理学 2019-05-06 Christophe Letellier , Irene Sendiña-Nadal , Luis A. Aguirre

The identification of local modules in dynamic networks with known topology has recently been addressed by formulating conditions for arriving at consistent estimates of the module dynamics, under the assumption of having disturbances that…

系统与控制 · 电气工程与系统科学 2020-11-03 Karthik R. Ramaswamy , Paul M. J. Van den Hof

This paper considers the problem of detecting topology variations in dynamical networks. We consider a network whose behavior can be represented via a linear dynamical system. The problem of interest is then that of finding conditions under…

系统与控制 · 计算机科学 2015-04-17 G. Battistelli , P. Tesi