Adaptive generalized function matrix projective lag synchronization of uncertain complex dynamical networks with different dimensions
Adaptive generalized function matrix projective lag synchronization of uncertain complex dynamical networks with different dimensions
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DOI：
10.1007/s11071-013-0994-5
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发表时间：
2013-07
影响因子：
5.6
通讯作者：
Hao Dai;Gangquan Si;Yan-bin Zhang
中科院分区：
文献类型：
--
作者：
Hao Dai;Gangquan Si;Yan-bin Zhang
本文研究了采用自适应控制方法的不同节点维数的不确定复杂动态网络的广义函数矩阵射影滞后同步。基于Lyapunov稳定性理论，得到自适应控制器，并通过自适应律估计驱动网络和响应网络的未知参数。此外，还对三维混沌系统和四维超混沌系统分别作为驱动网络和响应网络的节点进行了详细分析，并给出了数值模拟结果，说明了理论结果的有效性。
Generalized function matrix projective lag synchronization of uncertain complex dynamical networks with different dimension of nodes via adaptive control method is investigated in this paper. Based on Lyapunov stability theory, adaptive controller is obtained and unknown parameters of both the drive network and the response network are estimated by adaptive laws. In addition, the three-dimension chaotic system and the four-dimension hyperchaotic system, respectively, as the nodes of the drive and response network are analyzed in detail, and numerical simulation results are presented to illustrate the effectiveness of the theoretical results.