Matrix projective synchronization for time-varying disturbed networks with uncertain nonlinear structures and different dimensional nodes
Matrix projective synchronization for time-varying disturbed networks with uncertain nonlinear structures and different dimensional nodes
复制标题
具有不确定非线性结构和不同维度节点的时变扰动网络的矩阵投影同步
DOI：
10.1016/j.neucom.2018.05.041
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发表时间：
2018-10
期刊：
影响因子：
6
通讯作者：
Chen Xuesong
中科院分区：
文献类型：
--
作者：
Zhang Lili;Lei Youfa;Wang Yinhe;Chen Xuesong
研究了具有不确定非线性结构和不同维数节点的时变扰动复杂动态网络的矩阵投影同步问题。为了更好地描述实际网络，与以往不同的是，我们在网络模型中考虑了不可避免的未知非线性结构和节点不可避免的不确定扰动。此外，值得指出的是，本文中表征耦合强度和拓扑结构的外耦合位形矩阵不受耗散耦合条件的限制。对于具有不同维数节点的网络，给出了MPS的定义。此外，根据不确定非线性结构和扰动的范数界的不同，分别提出了几种MPS方案。最后，给出了两个与数值模拟相关联的适当的例子来验证我们的理论结果的有效性。
This paper investigates the matrix projective synchronization (MPS) problem for time-varying disturbed complex dynamical networks (CDNs) with uncertain nonlinear structures and different dimensional nodes. In order to well describe the practical networks, the unavoidable unknown nonlinear structure and the inevitable uncertain disturbance of each node are considered into our network model, which is different from the previous works. Besides, it is worth pointing out that the outer coupling configuration matrix, which represents the coupling strength and the topological structure, is not restricted by the dissipatively coupled condition in this paper. The definition of MPS is also introduced for the networks with different dimensional nodes. Moreover, several MPS schemes are respectively put forward for our network model according to the norm bound of the uncertain nonlinear structures and disturbances being unknown or not. Finally, two proper examples associated with numerical simulations are given to verify the effectiveness of our theoretical results.
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