Adaptive modified projective function synchronization of non-linear distributive fractional order complex dynamical networks (DFCDN) is addressed in this paper. Firstly, we have created a model for DFCDN with model uncertainty, external disturbances and uncertain parameters. Based on the Laplace and inverse Laplace transform property of distributive order fractional differential equations and Lyapunov stability theory, we realize the projective synchronization between the DFCDN system, according to the given scaling function by using the novel adaptive controller that we have constructed. Finally two numerical examples and simulations are given to show our proposed work is more realistic and more effective than the existing ones in the literature.

本文讨论了非线性分配分数阶复杂动力网络（DFCDN）的自适应修正投影函数同步。首先，我们创建了具有模型不确定性，外部干扰和不确定参数的DFCDN模型。基于分配阶分数阶微分方程的Laplace和Laplace逆变换性质以及Lyapunov稳定性理论，我们使用构造的新型自适应控制器，根据给定的缩放函数，实现了DFCDN系统之间的投影同步。最后给出了两个数值例子和仿真结果，表明我们提出的工作比文献中已有的工作更现实，更有效。