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Adaptive Cluster Synchronization for Nondelayed and Delayed Coupling Complex Networks with Nonidentical Nodes
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-21
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Tang, Ze& Feng, Jianwen. 2013. Adaptive Cluster Synchronization for Nondelayed and Delayed Coupling Complex Networks with Nonidentical Nodes. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-510365
Modern Language Association (MLA)
Tang, Ze& Feng, Jianwen. Adaptive Cluster Synchronization for Nondelayed and Delayed Coupling Complex Networks with Nonidentical Nodes. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-510365
American Medical Association (AMA)
Tang, Ze& Feng, Jianwen. Adaptive Cluster Synchronization for Nondelayed and Delayed Coupling Complex Networks with Nonidentical Nodes. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-510365
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510365