Open Access
Translator Disclaimer
2013 Adaptive Cluster Synchronization for Nondelayed and Delayed Coupling Complex Networks with Nonidentical Nodes
Ze Tang, Jianwen Feng
Abstr. Appl. Anal. 2013(SI36): 1-8 (2013). DOI: 10.1155/2013/946243

Abstract

We focus on the cluster synchronization problem for a kind of general networks with nondelayed and delayed coupling. Based on the pinning control scheme, a small fraction of the nodes in each cluster are pinned for successful control, and the states of the whole dynamical networks can be globally forced to the objective cluster states. Sufficient conditions are derived to guarantee the realization of the cluster synchronization pattern for all initial values by means of the Lyapunov stability theorem and linear matrix inequalities (LMIs). By using the adaptive update law, relative smaller control gains are obtained, and hence the control cost can be substantially lower. Numerical simulations are also exploited to demonstrate the effectiveness and validity of the main result.

Citation

Download Citation

Ze Tang. Jianwen Feng. "Adaptive Cluster Synchronization for Nondelayed and Delayed Coupling Complex Networks with Nonidentical Nodes." Abstr. Appl. Anal. 2013 (SI36) 1 - 8, 2013. https://doi.org/10.1155/2013/946243

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 06161394
MathSciNet: MR3034986
Digital Object Identifier: 10.1155/2013/946243

Rights: Copyright © 2013 Hindawi

JOURNAL ARTICLE
8 PAGES


SHARE
Vol.2013 • No. SI36 • 2013
Back to Top