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- Title
Cluster Synchronization of Stochastic Complex Networks with Markovian Switching and Time-Varying Delay via Impulsive Pinning Control.
- Authors
Xuan Zhou; Kui Luo
- Abstract
This paper studies the cluster synchronization of a kind of complex networks by means of impulsive pinning control scheme. These networks are subject to stochastic noise perturbations and Markovian switching, as well as internal and outer time-varying delays. Using the Lyapunov-Krasovskii functional, It's formula, and some linear matrix inequalities (LMI), several novel sufficient conditions are obtained to guarantee the desired cluster synchronization. At the end of this writing, a numerical simulation is given to demonstrate the effectiveness of those theoretical results.
- Subjects
SYNCHRONIZATION; STOCHASTIC analysis; MARKOVIAN jump linear systems; IMPULSIVE differential equations; TIME-varying networks
- Publication
Discrete Dynamics in Nature & Society, 2014, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2014/835867