Pinning Synchronization Between Two General Fractional Complex Dynamical Networks With External Disturbances
Pinning Synchronization Between Two General Fractional Complex Dynamical Networks With External Disturbances
复制标题
具有外部干扰的两个一般分数复杂动态网络之间的钉扎同步
DOI：
10.1109/jas.2016.7510202
复制
发表时间：
2017-04-01
影响因子：
11.8
通讯作者：
Li, Changpin
中科院分区：
文献类型：
--
作者：
Ma, Weiyuan;Wu, Yujiang;Li, Changpin
本文研究了两个具有非线性耦合、时滞和外部干扰的分数阶复杂动态网络之间的钉扎同步。得到了时滞分数阶系统的类李亚普诺夫定理。一类新颖的控制器被设计用于具有扰动的分数复杂网络的钉扎同步。通过使用该技术、分数阶微积分理论和线性矩阵不等式，分数阶复杂网络的所有节点达到完全同步。在上述框架中，耦合配置矩阵和内耦合矩阵不一定是对称的。所有涉及的数值模拟验证了所提出方案的有效性。
In this paper, the pinning synchronization between two fractional complex dynamical networks with nonlinear coupling, time delays and external disturbances is investigated. A Lyapunov-like theorem for the fractional system with time delays is obtained. A class of novel controllers is designed for the pinning synchronization of fractional complex networks with disturbances. By using this technique, fractional calculus theory and linear matrix inequalities, all nodes of the fractional complex networks reach complete synchronization. In the above framework, the coupling-configuration matrix and the innercoupling matrix are not necessarily symmetric. All involved numerical simulations verify the effectiveness of the proposed scheme.