Synchronization of Stochastic Dynamical Networks Under Impulsive Control With Time Delays
Synchronization of Stochastic Dynamical Networks Under Impulsive Control With Time Delays
复制标题
时滞脉冲控制下随机动态网络的同步
DOI：
10.1109/tnnls.2013.2294727
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发表时间：
2014-10-01
影响因子：
10.4
通讯作者：
Fang, Jian-An
中科院分区：
文献类型：
--
作者：
Zhang, Wenbing;Tang, Yang;Fang, Jian-An
研究了一类时滞脉冲控制下的时滞动态网络的随机同步问题。与已有的脉冲控制下动态网络同步的研究结果不同，我们的模型考虑了脉冲输入延迟。假设脉冲区间属于一定区间，利用数学归纳法，导出了保证复杂网络在均方上呈指数同步的几个条件。导出的条件表明，脉冲发生频率、脉冲输入延迟和随机扰动会严重影响同步性能。然后提出了一种具有延迟同步脉冲的随机动态网络的同步控制算法。最后，通过两个算例验证了所提方法的有效性。
In this paper, the stochastic synchronization problem is studied for a class of delayed dynamical networks under delayed impulsive control. Different from the existing results on the synchronization of dynamical networks under impulsive control, impulsive input delays are considered in our model. By assuming that the impulsive intervals belong to a certain interval and using the mathematical induction method, several conditions are derived to guarantee that complex networks are exponentially synchronized in mean square. The derived conditions reveal that the frequency of impulsive occurrence, impulsive input delays, and stochastic perturbations can heavily affect the synchronization performance. A control algorithm is then presented for synchronizing stochastic dynamical networks with delayed synchronizing impulses. Finally, two examples are given to demonstrate the effectiveness of the proposed approach.