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The Scientific World Journal
Volume 2014 (2014), Article ID 785706, 20 pages
Research Article

Cluster Synchronization for a Class of Neutral Complex Dynamical Networks with Markovian Switching

Department of Auto, School of Information Science and Technology, University of Science and Technology of China, Anhui 230027, China

Received 29 August 2013; Accepted 21 November 2013; Published 27 April 2014

Academic Editors: L. Acedo, M. Bruzón, and J. S. Cánovas

Copyright © 2014 Xinghua Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 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 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 given to demonstrate the feasibility and effectiveness of the proposed theoretical results.