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In this paper, stability of linearly coupled dynamical systems with feedback pinning algorithm is studied. Here, both the coupling matrix and the set of pinned-nodes vary with time, induced by a continuous-time Markov chain with finite…

Optimization and Control · Mathematics 2015-02-03 Wenlian Lu , Yujuan Han , Tiaping Chen

Synchronization is a crucial phenomenon in many natural and artificial complex network systems. Applications include neuronal networks, formation control and coordination in robotics, and frequency synchronization in electrical power grids.…

Systems and Control · Electrical Eng. & Systems 2020-03-24 Marco Coraggio , Pietro DeLellis , Mario di Bernardo

The paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling…

Optimization and Control · Mathematics 2008-05-23 Luca Scardovi , Rodolphe Sepulchre

This article studies the synchronization problem of complex dynamical networks. The impulsive control method is considered with a novel event-triggered pinning algorithm. Sufficient conditions on the network topology are obtained to ensure…

Optimization and Control · Mathematics 2024-02-29 Kexue Zhang

In this paper, stability of linearly coupled dynamical systems with feedback pinning is studied. Event-triggered rules are employed on both diffusion coupling and feedback pinning to reduce the updating load of the coupled system. Here,…

Adaptation and Self-Organizing Systems · Physics 2016-10-03 Yujuan Han , Wenlian Lu , Tianping Chen

This paper studies the consensus problem of multi-agent systems with asymmetric and reducible topologies. Centralized event-triggered rules are provided so as to reduce the frequency of system's updating. The diffusion coupling feedbacks of…

Adaptation and Self-Organizing Systems · Physics 2014-07-08 Xinlei Yi , Wenlian Lu , Tianping Chen

This paper mainly investigates consensus problem with pull-based event-triggered feedback control. For each agent, the diffusion coupling feedbacks are based on the states of its in-neighbors at its latest triggering time and the next…

Optimization and Control · Mathematics 2015-04-27 Xinlei Yi , Wenlian Lu , Tianping Chen

This letter investigates the problem of output synchronisation in heterogeneous dynamical networks with nonlinear diffusive couplings in the presence of disturbances on the coupling links. By exploiting relative dissipativity properties…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Yongkang Su , Joaquin Carrasco , Iñaki Esnaola , Lanlan Su

The problem of synchronization in heterogeneous networks of linear systems with nonlinear delayed diffusive coupling is considered. The network is presented in new coordinates mean-field dynamics and synchronization errors. Thus the problem…

Adaptation and Self-Organizing Systems · Physics 2022-05-11 Sergei A. Plotnikov

For linear networks, where the coupling between the agents takes place through periodic impulses, a simple method is proposed for synchronization. It is shown that closing the loop by (normalized) deadbeat feedback gain produces synchronous…

Optimization and Control · Mathematics 2023-08-22 S. Emre Tuna

The behaviour of many real-world phenomena can be modelled by nonlinear dynamical systems whereby a latent system state is observed through a filter. We are interested in interacting subsystems of this form, which we model by a set of…

Machine Learning · Computer Science 2017-02-20 Oliver M. Cliff , Mikhail Prokopenko , Robert Fitch

Anticipated synchronisation occurs when a driven dynamical system synchronises with the future state of the driver system to which it is unidirectionally coupled. Previous theoretical and experimental studies have focused on setups with a…

Chaotic Dynamics · Physics 2026-03-04 David Ortiz del Campo , Tobias Galla , Raúl Toral

Synchronization of coupled continuous-time linear systems is studied in a general setting. For identical neutrally-stable linear systems that are detectable from their outputs, it is shown that a linear output feedback law exists under…

Optimization and Control · Mathematics 2008-01-22 S. Emre Tuna

Synchronization of coupled dynamical systems is a widespread phenomenon in both biological and engineered networks, and understanding this behavior is crucial for controlling such systems. Considerable research has been dedicated to…

Chaotic Dynamics · Physics 2023-07-04 Fatou K. Ndow , Zahra Aminzare

A basic result in synchronization of linear systems via output coupling is presented. For identical discrete-time linear systems that are detectable from their outputs and neutrally stable, it is shown that a linear output feedback law…

Dynamical Systems · Mathematics 2008-01-21 S. Emre Tuna

We study synchronization for linearly coupled temporal networks of heterogeneous time-dependent nonlinear agents via the convergence of attracting trajectories of each node. The results are obtained by constructing and studying the…

Dynamical Systems · Mathematics 2024-10-23 Hildeberto Jardón-Kojakhmetov , Christian Kuehn , Iacopo P. Longo

In this paper we propose a decentralized sensor network scheme capable to reach a globally optimum maximum likelihood (ML) estimate through self-synchronization of nonlinearly coupled dynamical systems. Each node of the network is composed…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-11-11 Sergio Barbarossa , Gesualdo Scutari

Complex networks are a successful framework to describe collective behaviour in many applications, but a notable gap remains in the current literature, that of proving asymptotic convergence in networks of piecewise-smooth systems. Indeed,…

Systems and Control · Computer Science 2020-12-03 Marco Coraggio , Pietro DeLellis , Mario di Bernardo

We study synchronization and consensus in a group of dynamical systems coupled via multiple directed networks. We show that even though the coupling in a single network may not be sufficient to synchronize the systems, combination of…

Systems and Control · Electrical Eng. & Systems 2021-05-07 Chai Wah Wu

Event-triggered and self-triggered control have recently been proposed as implementation strategies that considerably reduce the resources required for control. Although most of the work so far has focused on closing a single control loop,…

Optimization and Control · Mathematics 2011-09-05 Romain Postoyan , Paulo Tabuada , Dragan Nesic , Adolfo Anta
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