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Pinning impulsive synchronization of stochastic delayed coupled networks

ISSN号：1674-1056
期刊名称：《中国物理B：英文版》
时间：0
分类：TP273[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置] TN919.34[电子电信—通信与信息系统;电子电信—信息与通信工程]
作者机构：[1]College of Information Science and Technology, Donghua University, Shanghai 201620, China, [2]Institute of Textiles and Clothing, Hong Kong Polytechnic University, Hong Kong, China, [3]Continue Education School, Shanghai Jiaotong University, Shanghai 200030, China
相关基金：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）.

关键词：随机延迟, 脉冲同步, LYAPUNOV稳定性理论, 耦合网络, 钉扎, 自适应控制器, 同步问题, 复杂网络, time-varying delay, pinning impulsive synchronization, stochastic complex network, exponential synchronization

中文摘要：

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.

英文摘要：

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.

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