Robust H∞ cluster synchronization analysis of Lurie dynamical networks

doi:10.1088/1674-1056/23/4/040501

Abstract The cluster synchronization problem of complex dynamical networks with each node being a Lurie system with external disturbances and time-varying delay is investigated in this paper. Some criteria for cluster synchronization with desired H_∞ performance are presented by using a local linear control scheme. Firstly, sufficient conditions are established to realize cluster synchronization of the Lurie dynamical networks without time delay. Then, the notion of the cluster synchronized region is introduced, and some conditions guaranteeing the cluster synchronized region and unbounded cluster synchronized region are derived. Furthermore, the cluster synchronization and cluster synchronized region in the Lurie dynamical networks with time-varying delay are considered. Numerical examples are finally provided to verify and illustrate the theoretical results.

Keywords: cluster synchronization Lurie dynamics network H_∞ performance time-varying delay

Received: 07 July 2013
Revised: 24 September 2013
Accepted manuscript online:

PACS:	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.Jn	(High-dimensional chaos)
	05.45.Pq	(Numerical simulations of chaotic systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61075065, 60774045, and U1134108), the Talent Introduction Scientific Research Foundation of Northwest University for Nationalities (Grant No. xbmuyjrc201304), and the Foundation for Young Talents of Gansu Province, China (Grant No. 1208RJYA013).

Corresponding Authors: Guo Ling
E-mail: gling0826@126.com

About author: 05.45.Gg; 05.45.Jn; 05.45.Pq

Cite this article:

Guo Ling (郭凌), Nian Xiao-Hong (年晓红), Pan Huan (潘欢), Bing Zhi-Tong (邴志桐) Robust H_∞ cluster synchronization analysis of Lurie dynamical networks 2014 Chin. Phys. B 23 040501

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Robust H_∞ cluster synchronization analysis of Lurie dynamical networks