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Identifiability of a single module in a network of transfer functions is determined by whether a particular transfer function in the network can be uniquely distinguished within a network model set, on the basis of data. Whereas previous…

Systems and Control · Electrical Eng. & Systems 2021-12-22 Shengling Shi , Xiaodong Cheng , Paul M. J. Van den Hof

This paper considers dynamic networks where vertices and edges represent manifest signals and causal dependencies among the signals, respectively. We address the problem of how to determine if the dynamics of a network can be identified…

Optimization and Control · Mathematics 2021-05-10 Xiaodong Cheng , Shengling Shi , Ioannis Lestas , Paul M. J. Van den Hof

Identifiability conditions for single or multiple modules in a dynamic network specify under which conditions the considered modules can be uniquely recovered from the second-order statistical properties of the measured signals. Conditions…

Systems and Control · Electrical Eng. & Systems 2021-10-28 Shengling Shi , Xiaodong Cheng , Paul M. J. Van den Hof

Much recent research has dealt with the identifiability of a dynamical network in which the node signals are connected by causal linear transfer functions and are excited by known external excitation signals and/or unknown noise signals. A…

Optimization and Control · Mathematics 2018-03-18 Julien M. Hendrickx , Michel Gevers , Alexandre S. Bazanella

This paper deals with dynamical networks for which the relations between node signals are described by proper transfer functions and external signals can influence each of the node signals. In particular, we are interested in…

Optimization and Control · Mathematics 2018-07-24 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel

Much recent research has dealt with the identifiability of a dynamical network in which the node signals are connected by causal linear time-invariant transfer functions and are possibly excited by known external excitation signals and/or…

Optimization and Control · Mathematics 2017-09-14 Alexandre S. Bazanella , Michel Gevers , Julien M. Hendrickx , Adriane Parraga

Dynamic networks are structured interconnections of dynamical systems (modules) driven by external excitation and disturbance signals. In order to identify their dynamical properties and/or their topology consistently from measured data, we…

Systems and Control · Computer Science 2018-04-12 Harm H. M. Weerts , Paul M. J. Van den Hof , Arne G. Dankers

This paper deals with dynamical networks for which the relations between node signals are described by proper transfer functions and external signals can influence each of the node signals. We are interested in graph-theoretic conditions…

Optimization and Control · Mathematics 2019-12-02 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel

This work focuses on the identifiability of dynamical networks with partial excitation and measurement: a set of nodes are interconnected by unknown transfer functions according to a known topology, some nodes are subject to external…

Optimization and Control · Mathematics 2020-10-12 Antoine Legat , Julien M. Hendrickx

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…

Optimization and Control · Mathematics 2021-02-16 Xiaodong Cheng , Shengling Shi , Paul M. J. Van den Hof

We derive conditions for the identifiability of nonlinear networks characterized by additive dynamics at the level of the edges when all the nodes are excited. In contrast to linear systems, we show that the measurement of all sinks is…

Optimization and Control · Mathematics 2025-05-30 Renato Vizuete , Julien M. Hendrickx

A recent development in data-driven modelling addresses the problem of identifying dynamic models of interconnected systems, represented as linear dynamic networks. For these networks the notion network identifiability has been introduced…

Systems and Control · Computer Science 2018-03-08 Harm Weerts , Paul M. J. Van den Hof , Arne Dankers

This work focuses on the generic identifiability of dynamical networks with partial excitation and measurement: a set of nodes are interconnected by transfer functions according to a known topology, some nodes are excited, some are…

Optimization and Control · Mathematics 2023-09-27 Antoine Legat , Julien M. Hendrickx

We analyze the identifiability of directed acyclic graphs in the case of partial excitation and measurement. We consider an additive model where the nonlinear functions located in the edges depend only on a past input, and we analyze the…

Optimization and Control · Mathematics 2024-09-06 Renato Vizuete , Julien M. Hendrickx

This work focuses on the generic identifiability of dynamical networks with partial excitation and measurement: a set of nodes are interconnected by transfer functions according to a known topology, some nodes are excited, some are…

Optimization and Control · Mathematics 2021-10-04 Antoine Legat , Julien M. Hendrickx

Identifiability of linear dynamic networks requires the presence of a sufficient number of external excitation signals. The problem of allocating a minimal number of external signals for guaranteeing generic network identifiability has been…

Systems and Control · Electrical Eng. & Systems 2022-05-16 H. J. Dreef , S. Shi , X. Cheng , M. C. F. Donkers , P. M. J. Van den Hof

We analyze the identifiability of nonlinear networks with node dynamics characterized by functions that are non-additive. We consider the full measurement case (all the nodes are measured) in the path-independent delay scenario where all…

Optimization and Control · Mathematics 2025-10-24 Renato Vizuete , Julien M. Hendrickx

This paper deals with the design of Excitation and Measurement Patterns (EMPs) for the identification of dynamical networks, when the objective is to identify only a subnetwork embedded in a larger network. Recent results have shown how to…

Systems and Control · Electrical Eng. & Systems 2024-02-23 Eduardo Mapurunga , Michel Gevers , Alexandre S. Bazanella

This paper deals with identifiability of undirected dynamical networks with single-integrator node dynamics. We assume that the graph structure of such networks is known, and aim to find graph-theoretic conditions under which the state…

Optimization and Control · Mathematics 2018-07-24 Henk J. van Waarde , Pietro Tesi , M. Kanat Camlibel

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…

Optimization and Control · Mathematics 2026-03-05 Ramachandran Anantharaman , Renato Vizuete , Julien M. Hendrickx , Alexandre Mauroy
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