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H ∞ Cluster Synchronization for a Class of Neutral Complex Dynamical Networks with Markovian Switching
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-27
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
H ∞ cluster synchronization problem for a class of neutral complex dynamical networks (NCDNs) with Markovian switching is investigated in this paper.
Both the retarded and neutral delays are considered to be interval mode dependent and time varying.
The concept of H∞ cluster synchronization is proposed to quantify the attenuation level of synchronization error dynamics against the exogenous disturbance of the NCDNs.
Based on a novel Lyapunov functional, by employing some integral inequalities and the nature of convex combination, mode delay-range-dependent H∞ cluster synchronization criteria are derived in the form of linear matrix inequalities which depend not only on the disturbance attenuation but also on the initial values of the NCDNs.
Finally, numerical examples are givento demonstrate the feasibility and effectiveness of the proposed theoretical results.
American Psychological Association (APA)
Liu, Xinghua. 2014. H ∞ Cluster Synchronization for a Class of Neutral Complex Dynamical Networks with Markovian Switching. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-20.
https://search.emarefa.net/detail/BIM-1051023
Modern Language Association (MLA)
Liu, Xinghua. H ∞ Cluster Synchronization for a Class of Neutral Complex Dynamical Networks with Markovian Switching. The Scientific World Journal No. 2014 (2014), pp.1-20.
https://search.emarefa.net/detail/BIM-1051023
American Medical Association (AMA)
Liu, Xinghua. H ∞ Cluster Synchronization for a Class of Neutral Complex Dynamical Networks with Markovian Switching. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-20.
https://search.emarefa.net/detail/BIM-1051023
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1051023