Treffer: Pinning adaptive synchronization of general time-varying delayed and multi-linked networks with variable structures

Title:
Pinning adaptive synchronization of general time-varying delayed and multi-linked networks with variable structures
Authors:
XINGJIE WU, YI LIU, JIN ZHOU
Source:
Neurocomputing (Amsterdam). 147:492-499
Publisher Information:
Amsterdam: Elsevier, 2015.
Publication Year:
2015
Physical Description:
print, 42 ref
Original Material:
INIST-CNRS
Subject Terms:
Cognition, Computer science, Informatique, Sciences exactes et technologie, Exact sciences and technology, Physique, Physics, Generalites, General, Physique statistique, thermodynamique, et systèmes dynamiques non linéaires, Statistical physics, thermodynamics, and nonlinear dynamical systems, Dynamique non linéaire et systèmes dynamiques non linéaires, Nonlinear dynamics and nonlinear dynamical systems, Synchronisation ; oscillateurs couplés, Synchronization ; coupled oscillators, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Informatique théorique, Theoretical computing, Recherche information. Graphe, Information retrieval. Graph, Logiciel, Software, Systèmes informatiques et systèmes répartis. Interface utilisateur, Computer systems and distributed systems. User interface, Intelligence artificielle, Artificial intelligence, Connexionnisme. Réseaux neuronaux, Connectionism. Neural networks, Attracteur chaotique, Chaotic attractor, Atractor caótico, Commande adaptative, Adaptive control, Digraphe, Digraph, Digrafo, Fonction Lyapunov, Lyapunov function, Función Lyapunov, Graphe orienté, Directed graphs, Modèle Hopfield, Hopfield model, Modelo Hopfield, Modélisation, Modelling, Méthode Lyapunov, Lyapunov methods, Méthode adaptative, Adaptive method, Método adaptativo, Orbite, Orbits, Réseau neuronal, Neural networks, Stabilité, Stability, Structure topologique, Topological structure, Estructura topológica, Synchronisation, Synchronization, Synthèse commande, Control synthesis, Síntesis control, Système complexe, Complex system, Sistema complejo, Système dynamique, Dynamical systems, Système multiagent, Multi-agent systems, Système réparti, Distributed system, Sistema repartido, Système variation temporelle, Time-varying systems, Système à retard, Delay systems, Temps parcours, Transit time, Tiempo recorrido, Temps retard, Time delay, Graphe de terrain, Complex network, Red compleja, Réseau neuronal Hopfield, Hopfield neural nets, Red Neuronal de Hopfield, Structure réseau, Network structure, Estructura de redes, Topologie circuit, Network topology, Topología de circuitos, Multi-linked networks, Nonlinear coupling, Pinning adaptive synchronization, Time-varying delays, Variable topological structures
Document Type:
Fachzeitschrift Article
File Description:
text
Language:
English
Author Affiliations:
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
School of Mathematics and Statistics, Hefei Normal University, Hefei, Anhui 230601, China
Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China
ISSN:
0925-2312
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=28836774
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems

Theoretical physics
Accession Number:
edscal.28836774
Database:
PASCAL Archive

Weitere Informationen

This paper is concerned with the issue of pinning synchronization of a general model of complex dynamical networks, which can well describe practical architectures of many realistic complex systems. Compared with some existing works, the distinctive feature of the considered model in this paper includes (i) the network topologies with variable structures corresponding directed graph; (ii) the multi-linked configuration with nonlinear coupling and time-varying delays. Some generic criteria for pinning global synchronization of such dynamical network are presented based on Lyapunov stability theory on delayed dynamical systems. It is shown that these criteria can provide a novel and effective adaptive pinning strategy, which is very convenient to implement in practice since the design of the adaptive control law is independent of time-varying delays. Furthermore, it is interesting to find that when the nodes with low in-degrees are pinned firstly, the pinning control scheme is more efficient. Subsequently, the theoretic results are applied to a general two-linked network consisting of Hopfield neuron oscillator. Finally, numerical simulations demonstrate that the proposed pinning adaptive synchronization criteria are practical and effective to pin two-linked Hopfield neural networks to an equilibrium, periodic orbit and chaotic attractor.