Pinning impulsive synchronization of stochastic delayed coupled networks

doi:10.1088/1674-1056/20/4/040513

Abstract In this paper, the pinning synchronization problem of stochastic delayed complex network (SDCN) is investigated by using a novel hybrid pinning controller. The proposed hybrid pinning controller is composed of adaptive controller and impulsive controller, where the two controllers are both added to a fraction of nodes in the network. Using the Lyapunov stability theory and the novel hybrid pinning controller, some sufficient conditions are derived for the exponential synchronization of such dynamical networks in mean square. Two numerical simulation examples are provided to verify the effectiveness of the proposed approach. The simulation results show that the proposed control scheme has a fast convergence rate compared with the conventional adaptive pinning method.

Keywords: time-varying delay pinning impulsive synchronization stochastic complex network exponential synchronization

Received: 01 September 2009
Revised: 17 December 2010
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	89.75.Hc	(Networks and genealogical trees)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 60874113), the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 200802550007), the Key Foundation Project of Shanghai, China (Grant No. 09JC1400700), the Key Creative Project of Shanghai Education Community, China (Grant No. 09ZZ66), the National Basic Research Development Program of China (Grant No. 2010CB731400) and the Research Grants Council of the Hong Kong Special Administrative Region, China (Grant No. PolyU 5212/07E).

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Tang Yang(唐漾), Wong W K(黃偉強), Fang Jian-An(方建安), and Miao Qing-Ying(苗清影) Pinning impulsive synchronization of stochastic delayed coupled networks 2011 Chin. Phys. B 20 040513

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