TITLE

Adaptive Cluster Synchronization for Nondelayed and Delayed Coupling Complex Networks with Nonidentical Nodes

AUTHOR(S)
Ze Tang; Jianwen Feng
PUB. DATE
January 2013
SOURCE
Abstract & Applied Analysis;2013, p1
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
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 linearmatrix 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.
ACCESSION #
95428085

 

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