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Zeroing neural networks (ZNNs) have demonstrated outstanding performance on time-varying optimization and control problems. Nonetheless, few studies are committed to illustrating the relationship among different ZNNs and the derivation of…

Neural and Evolutionary Computing · Computer Science 2025-07-02 Chengze Jiang , Jie Gui , Long Jin , Shuai Li

This paper studies regulated state synchronization of discrete-time homogeneous networks of non-introspective agents in presence of unknown non-uniform input delays. A scale free protocol is designed based on additional information…

Systems and Control · Electrical Eng. & Systems 2020-02-25 Zhenwei Liu , Donya Nojavanzadeh , Dmitri Saberi , Ali Saberi , Anton A. Stoorvogel

Temporal networks are a class of time-varying networks, which change their topology according to a given time-ordered sequence of static networks (known as subsystems). This paper investigates the reachability and controllability of…

Systems and Control · Electrical Eng. & Systems 2024-05-27 Yuan Zhang , Yuanqing Xia , Long Wang

The dynamical behavior of networked systems is expected to reflect the features of their coupling structure. Yet, symmetry-broken solutions often occur in symmetrically coupled networks. An example is provided by the so-called solitary…

Pattern Formation and Solitons · Physics 2022-11-30 Leonhard Schülen , Maria Mikhailenko , Everton S. Medeiros , Anna Zakharova

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…

Systems and Control · Computer Science 2015-04-17 G. Battistelli , P. Tesi

The controllability of networks comprising homogeneous multi-input multi-output linear subsystems with linear couplings among them is examined, from a modal perspective. The eigenvalues of the network model are classified into two groups:…

Systems and Control · Computer Science 2018-05-08 Mengran Xue , Sandip Roy

This paper studies output synchronization problems for heterogeneous networks of continuous- or discrete-time right-invertible linear agents in presence of unknown, non-uniform and arbitrarily large input delay based on localized…

Systems and Control · Electrical Eng. & Systems 2020-04-29 Donya Nojavanzadeh , Zhenwei Liu , Ali Saberi , Anton A. Stoorvogel

Recent work in the area of interdependent networks has focused on interactions between two systems of the same type. However, an important and ubiquitous class of systems are those involving monitoring and control, an example of…

Disordered Systems and Neural Networks · Physics 2013-09-27 Richard G. Morris , Marc Barthelemy

In this paper, the synchronization of heterogeneous agents interacting over a dynamical network is studied. The edge dynamics can model the inter-agent communications which are often heterogeneous by nature. They can also model the…

Systems and Control · Electrical Eng. & Systems 2022-11-09 Dan Wang , Wei Chen , Li Qiu

We study a network of coupled logistic maps whose interactions occur with a certain distribution of delay times. The local dynamics is chaotic in the absence of coupling and thus the network is a paradigm of a complex system. There are two…

Chaotic Dynamics · Physics 2009-02-03 Marcelo Ponce , C. Masoller , Arturo C. Marti

Many natural systems are organized as networks, in which the nodes (be they cells, individuals or populations) interact in a time-dependent fashion. The dynamic behavior of these networks depends on how these nodes are connected, which can…

Neurons and Cognition · Quantitative Biology 2015-06-22 Anca Radulescu , Sergio Verduzco-Flores

One of the main challenges in the study of time-varying networks is the interplay of memory effects with structural heterogeneity. In particular, different nodes and dyads can have very different statistical properties in terms of both link…

Physics and Society · Physics 2026-04-20 Giulio Virginio Clemente , Claudio J. Tessone , Diego Garlaschelli

The aim of this paper is to analyze a class of consensus algorithms with finite-time or fixed-time convergence for dynamic networks formed by agents with first-order dynamics. In particular, in the analyzed class a single evaluation of a…

Network modeling plays a critical role in identifying statistical regularities and structural principles common to many systems. The large majority of recent modeling approaches are connectivity driven. The structural patterns of the…

Physics and Society · Physics 2012-06-27 Nicola Perra , Bruno Gonçalves , Romualdo Pastor-Satorras , Alessandro Vespignani

Most models of complex systems have been homogeneous, i.e., all elements have the same properties (spatial, temporal, structural, functional). However, most natural systems are heterogeneous: few elements are more relevant, larger,…

Adaptation and Self-Organizing Systems · Physics 2025-12-22 Amahury Jafet López-Díaz , Fernanda Sánchez-Puig , Carlos Gershenson

Many real-world complex systems including human interactions can be represented by temporal (or evolving) networks, where links activate or deactivate over time. Characterizing temporal networks is crucial to compare such systems and to…

Physics and Society · Physics 2022-08-30 Alberto Ceria , Shlomo Havlin , Alan Hanjalic , Huijuan Wang

We consider the model reduction problem for linear time-invariant dynamical systems having nonzero (but otherwise indeterminate) initial conditions. Building upon the observation that the full system response is decomposable as a…

Systems and Control · Computer Science 2017-01-04 Christopher A. Beattie , Serkan Gugercin , Volker Mehrmann

In this paper, we present the benefits of exploring different topologies with equal connectivity measure, or iso-connectivity topologies, in relation to the multiagent system dynamics. The level of global information sharing ability among…

Optimization and Control · Mathematics 2016-06-14 Rajdeep Dutta , Daniel Pack

Virtually all real-world networks are dynamical entities. In social networks, the propensity of nodes to engage in social interactions (activity) and their chances to be selected by active nodes (attractiveness) are heterogeneously…

Physics and Society · Physics 2017-06-13 Laura Alessandretti , Kaiyuan Sun , Andrea Baronchelli , Nicola Perra

Many network applications rely on the synchronization of coupled oscillators. For example, such synchronization can provide networked devices with a common temporal reference necessary for coordinating actions or decoding transmitted…

Optimization and Control · Mathematics 2014-05-27 Enrique Mallada , Randy A. Freeman , Ao Tang