Mean-square exponential synchronization of Markovian switching stochastic complex networks with time-varying delays by pinning control
type: Item
instance of: scholarly article
title: Mean-square exponential synchronization of Markovian switching stochastic complex networks with time-varying delays by pinning control
zbMATH Open document ID: 1242.93149
DOI: 10.1155/2012/298095
author: Jianwen Feng
author: Man Kam Kwong
author: Chen Xu
author: Francis Austin
author: Jingyi Wang
published in: Abstract and Applied Analysis
publication date: 2012-07-18T00:00:00Z
review text: Summary: This paper investigates the mean-square exponential synchronization of stochastic complex networks with Markovian switching and time-varying delays by using the pinning control method. The switching parameters are modeled by a continuous-time, finite-state Markov chain, and the complex network is subject to noise perturbations, Markovian switching, and internal and outer time-varying delays. Sufficient conditions for mean-square exponential synchronization are obtained by using the Lyapunov-Krasovskii functional, Itö's formula, and the linear matrix inequality (LMI), and numerical examples are given to demonstrate the validity of the theoretical results.
Mathematics Subject Classification ID: 93E20
zbMATH DE Number: 6058100
Wikidata QID: Q58696265
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/298095
OpenAlex ID: W2082890616
cites work: The synchronization of chaotic systems
cites work: Adaptive pinning synchronization of complex networks with stochastic perturbations
cites work: A New Criterion for Chaos Synchronization Using Linear State Feedback Control
cites work: Intermittent dynamical control
cites work: Impulsive synchronization of Chen's hyperchaotic system
cites work: Pinning Complex Networks by a Single Controller
cites work: Pinning adaptive synchronization of a general complex dynamical network
cites work: Synchronization analysis of linearly coupled systems described by differential equations with a coupling delay
cites work: Pinning synchronization of the complex networks with non-delayed and delayed coupling
cites work: Periodically intermittent controlling complex dynamical networks with time-varying delays to a desired orbit
cites work: Exponential synchronization of complex delayed dynamical networks via pinning periodically intermittent control
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: Stability of stochastic differential equations with Markovian switching
cites work: Robust stability and controllability of stochastic differential delay equations with Markovian switching.
cites work: Exponential stability of delayed recurrent neural networks with Markovian jumping parameters
cites work: Exponential stability in the mean square for stochastic neural networks with mixed time-delays and Markovian jumping parameters
cites work: ON SYNCHRONIZATION OF DISCRETE-TIME MARKOVIAN JUMPING STOCHASTIC COMPLEX NETWORKS WITH MODE-DEPENDENT MIXED TIME-DELAYS
description: scientific article; zbMATH DE number 6058100