Pinning impulsive synchronization of stochastic delayed coupled networks

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

中国物理B ›› 2011, Vol. 20 ›› Issue (4): 40513-040513.doi: 10.1088/1674-1056/20/4/040513

Pinning impulsive synchronization of stochastic delayed coupled networks

方建安¹, 唐漾², 苗清影³, 黃偉強⁴

(1)College of Information Science and Technology, Donghua University, Shanghai 201620, China; (2)College of Information Science and Technology, Donghua University, Shanghai 201620, China;Institute of Textiles and Clothing, Hong Kong Polytechnic University, Hong Kong, China; (3)Continue Education School, Shanghai Jiaotong University, Shanghai 200030, China; (4)Institute of Textiles and Clothing, Hong Kong Polytechnic University, Hong Kong, China

收稿日期:2009-09-01 修回日期:2010-12-17 出版日期:2011-04-15 发布日期:2011-04-15
基金资助:
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).

Pinning impulsive synchronization of stochastic delayed coupled networks

Tang Yang(唐漾)^a)b)†, Wong W K(黃偉強)^b), Fang Jian-An(方建安)^a), and Miao Qing-Ying(苗清影)^c)

^a College of Information Science and Technology, Donghua University, Shanghai 201620, China; ^b Institute of Textiles and Clothing, Hong Kong Polytechnic University, Hong Kong, China; ^c Continue Education School, Shanghai Jiaotong University, Shanghai 200030, China

Received:2009-09-01 Revised:2010-12-17 Online:2011-04-15 Published:2011-04-15
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: time-varying delay, pinning impulsive synchronization, stochastic complex network, exponential synchronization

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.

Key words: time-varying delay, pinning impulsive synchronization, stochastic complex network, exponential synchronization

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

89.75.Hc (Networks and genealogical trees)

唐漾, 黃偉強, 方建安, 苗清影. Pinning impulsive synchronization of stochastic delayed coupled networks[J]. 中国物理B, 2011, 20(4): 40513-040513.

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[J]. Chin. Phys. B, 2011, 20(4): 40513-040513.

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Pinning impulsive synchronization of stochastic delayed coupled networks

Pinning impulsive synchronization of stochastic delayed coupled networks

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