新型非线性控制器下的多重边复杂网络的函数投影同步

本文基于网络拆分的思想，将具有不同时延的网络进行拆分，得到具有多重边复杂网络模型，根据多重边复杂网络的非线性特性，不是采用传统的线性化的方法而是设计了一种新型的非线性控制器达到多重边复杂网络的函数投影同步,可以应用于网路保密通信中，这种机制增强了信息传输的安全性。利用Lyapunov稳定性理论证明了控制器能保证多重边复杂网络的稳定性，提出了新的同步准则，最后实验验证了所得理论结论的正确性。

Function projective synchronization of complex Multi-links networks via a new nonlinear controller

Based on the idea of network split according to the different nature of time-delay, a model of complex networks with multi-links is constructed. We do not use the traditional method of linearization, but according to the nonlinearity of complex multi-links networks, a novel nonlinear controller is designed to get function projective synchronization, which can be used in the information security communication. By using the Lyapunov stability theory, we verified the stability of the complex multi-links networks with the novel nonlinear controller. And a new criterion is proposed. Finally, numerical simulations are exploited to show the effectiveness of the theoretical results.