Function projective synchronization in complex networks with switching topology and stochastic effects
Function projective synchronization in complex networks with switching topology and stochastic effects
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具有开关拓扑和随机效应的复杂网络中的函数投影同步
DOI：
10.1016/j.amc.2015.02.080
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发表时间：
2015-05
影响因子：
4
通讯作者：
Yunguo
中科院分区：
文献类型：
--
作者：
Jin;Yunguo
近年来，复杂动态网络中的函数投影同步问题已成为人们关注的焦点，但对于具有切换拓扑和随机效应的动态网络中的函数投影同步问题的研究还很少。本研究旨在填补这一空白。研究了具有切换拓扑和随机效应的复杂网络的函数投影同步问题。为实现复杂网络的函数投影同步，设计了一种混合反馈控制方法。利用鞅和Gronwally不等式的性质，分别得到了保证复杂网络能实现均方同步和均方指数同步的条件。此外，我们还提出了李雅普诺夫泛函方法的一种概率方法来分析在特定假设下动态网络中的函数投影同步。我们的方法不仅可以取代拉萨尔型定理，而且可以改进文献中已有的结果。特别地，本文还提出了求解Itô '积分的等价方法，为处理各种具有随机效应的复杂动态网络中的同步问题提供了一个有用的工具。最后，通过数值算例验证了所提方法的有效性。
Although function projective synchronization in complex dynamical networks has come into the limelight in recent years, litter research has been published on the problem in the dynamical networks with switching topology and stochastic effects. This study aims to fill the gap. In this paper, the problem of function projective synchronization is investigated for complex networks with switching topology and stochastic effects. A hybrid feedback control method is designed to achieve function projective synchronization for the complex network. Using the property of martingale and Gronwally’ inequality, we obtain some conditions to guarantee that the complex network can realize mean square synchronization and mean square exponential synchronization, respectively. Furthermore, we also present a probability approach to the method of Lyapunov functionals to analyze function projective synchronization in the dynamical network under a particular assumption. Our approaches not only can replace the LaSalle-type theorem but also allow improvements of existing results in the literature. In particular, the study also presents an equivalent way of regarding Itô’ integral, which may be a useful tool to deal with the problem of synchronization in variety of complex dynamical networks with stochastic effects. Finally, some numerical examples are provided to demonstrate the effectiveness of the proposed approach.
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影响因子：
3.5
作者：
Wu Zhao-Yan;Fu Xin-chu
通讯作者：
Wu Zhao-Yan;Fu Xin-chu
通过混合反馈控制具有时滞的复杂动态网络中的函数投影同步
影响因子：
2
作者：
Du, Hongyue;Shi, Peng;Lu, Ning
通讯作者：
Lu, Ning
影响因子：
1.7
作者：
Shuguo Wang;Song Zheng
通讯作者：
Shuguo Wang;Song Zheng
影响因子：
5.6
作者：
S. Jeong;D. Ji;Ju H. Park;S. Won
通讯作者：
S. Jeong;D. Ji;Ju H. Park;S. Won
影响因子：
5.6
作者：
Hao Dai;Gangquan Si;Yan-bin Zhang
通讯作者：
Hao Dai;Gangquan Si;Yan-bin Zhang