Cluster synchronization for T-S fuzzy complex networks using pinning control with probabilistic time-varying delays
Cluster synchronization for T-S fuzzy complex networks using pinning control with probabilistic time-varying delays
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DOI：
10.1002/cplx.21543
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发表时间：
2015-09
期刊：
影响因子：
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通讯作者：
R. Rakkiyappan;N. Sakthivel
中科院分区：
文献类型：
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作者：
R. Rakkiyappan;N. Sakthivel
研究了具有概率时变时滞的Lur 'e型Takagi-Sugeno T-S模糊复杂网络的簇同步问题。提出了钉扎控制策略。考虑了时变时滞的概率分布。根据时滞的概率分布，提出了一种新的参数矩阵依赖于概率分布的系统模型。此外，概率延迟被假定为满足一定的概率分布和延迟的概率取值在某些区间。通过构造一个包含三重积分项的Lyapunov-Krasovskii泛函，利用Kronecker积和凸组合技巧，得到了保证所设计网络的簇同步的充分条件，使得线性反馈控制器可以用于每个簇.将控制器设计问题转化为求解一系列线性矩阵不等式问题。通过数值算例和仿真验证了结果的有效性。© 2014 Wiley Periodicals，Inc.复杂性21：59-77，2015
In this article, cluster synchronization problem for Lur'e type Takagi-Sugeno T-S fuzzy complex networks with probabilistic time-varying delays is considered. Pinning control strategy is proposed. The probability distribution of the time-varying delay is considered. In terms of the probability distribution of the delays, a new type of system model with probability-distribution-dependent parameter matrices is proposed. Moreover, probabilistic delay is assumed to satisfy certain probability distribution and the probability of the delay takes values in some intervals. By constructing a suitable Lyapunov-Krasovskii functional involving triple integral terms and using Kronecker product with convex combination technique, some sufficient conditions are derived to ensure the cluster synchronization of designed networks such that the linear feedback controller can be used to every cluster. The problem of controller design is converted into solving a series of linear matrix inequalities. The effectiveness of our results is verified through numerical examples and simulations. © 2014 Wiley Periodicals, Inc. Complexity 21: 59-77, 2015