Exponential synchronization of stochastic delayed discrete-time complex networks
Exponential synchronization of stochastic delayed discrete-time complex networks
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DOI：
10.1007/s11071-007-9303-5
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发表时间：
2008-07
影响因子：
5.6
通讯作者：
Jinling Liang;Zidong Wang;Xiaohui Liu
中科院分区：
文献类型：
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作者：
Jinling Liang;Zidong Wang;Xiaohui Liu
研究了具有时变时滞的随机离散时间驱动-响应网络的同步问题。利用李雅普诺夫泛函方法，结合随机分析和反馈控制技术，建立了两个具有随机扰动的时滞网络指数均方同步的充分条件.这些充分条件用线性矩阵不等式（LMI）表示，可以通过Matlab中的LMI工具箱有效地求解。基于线性矩阵不等式的同步准则的一个特点是，它们不仅依赖于驱动网络中的连接矩阵和响应网络中的反馈增益，而且还依赖于时变延迟的上下界，因此比延迟无关的同步准则保守性更小。两个数值例子被用来证明所提出的同步方法的可行性和适用性。
This paper is concerned with the problem of synchronization for stochastic discrete-time drive-response networks with time-varying delay. By employing the Lyapunov functional method combined with the stochastic analysis as well as the feedback control technique, several sufficient conditions are established that guarantee the exponentially mean-square synchronization of two identical delayed networks with stochastic disturbances. These sufficient conditions, which are expressed in terms of linear matrix inequalities (LMIs), can be solved efficiently by the LMI toolbox in Matlab. A particular feature of the LMI-based synchronization criteria is that they are dependent not only on the connection matrices in the drive networks and the feedback gains in the response networks, but also on the lower and upper bounds of the time-varying delay, and are therefore less conservative than the delay-independent ones. Two numerical examples are exploited to demonstrate the feasibility and applicability of the proposed synchronization approaches.