Adaptive pinning synchronization of complex networks with stochastic perturbations
type: Item
instance of: scholarly article
title: Adaptive pinning synchronization of complex networks with stochastic perturbations
zbMATH Open document ID: 1198.34090
DOI: 10.1155/2010/416182
author: Xinsong Yang
author: Jinde Cao
published in: Discrete Dynamics in Nature and Society
publication date: 2010-06-29T00:00:00Z
full work available at URL: https://eudml.org/doc/230113
review text: Summary: The adaptive pinning synchronization is investigated for complex networks with nondelayed and delayed couplings and vector-form stochastic perturbations. Two kinds of adaptive pinning controllers are designed. Based on an Lyapunov-Krasovskii functional and the stochastic stability analysis theory, several sufficient conditions are developed to guarantee the synchronization of the proposed complex networks even if partial states of the nodes are coupled. Furthermore, three examples with their numerical simulations are employed to show the effectiveness of the theoretical results.
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 90B10
Mathematics Subject Classification ID: 34K50
Mathematics Subject Classification ID: 92B20
zbMATH DE Number: 5728629
MaRDI profile type: Publication
OpenAlex ID: W2081783413
Wikidata QID: Q58650807
cites work: Synchronization in uncertain complex networks
cites work: Adaptive Synchronization of an Uncertain Complex Dynamical Network
cites work: On the relationship between pinning control effectiveness and graph topology in complex networks of dynamical systems
cites work: On pinning synchronization of complex dynamical networks
cites work: Pinning Complex Networks by a Single Controller
cites work: Pinning synchronization of delayed dynamical networks via periodically intermittent control
cites work: Pinning control of complex dynamical networks with heterogeneous delays
cites work: Pinning adaptive synchronization of a general complex dynamical network
cites work: Pinning synchronization of delayed neural networks
cites work: Pinning synchronization of the complex networks with non-delayed and delayed coupling
cites work: Synchronization analysis of linearly coupled systems described by differential equations with a coupling delay
cites work: Synchronization of a large number of continuous one-dimensional stochastic elements with time-delayed mean-field coupling
cites work: Stochastic synchronization of coupled neural networks with intermittent control
cites work: Emergence of Scaling in Random Networks
cites work: Linear Matrix Inequalities in System and Control Theory
cites work: A note on the LaSalle-type theorems for stochastic differential delay equations
cites work: Pinning control of scale-free dynamical networks
description: scientific article; zbMATH DE number 5728629