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Title: Mean-square exponential synchronization of Markovian switching stochastic complex networks with time-varying delays by pinning control
Authors: Wang, J
Xu, C
Feng, J
Kwong, MK
Austin, FR
Issue Date: 2012
Source: Abstract and applied analysis, v. 2012, 298095, p.1-18
Abstract: 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.
Keywords: Neural-networks
Differential-equations
Coupled oscillators
Jumping parameters
Stability
Systems
Publisher: Hindawi Publishing Corporation
Journal: Abstract and applied analysis 
ISSN: 1085-3375 (print)
1687-0409 (online)
DOI: 10.1155/2012/298095
Rights: Copyright © 2012 Jingyi Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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