分数阶复杂网络的混合投影同步研究

主要针对一类节点为分数阶混沌系统的复杂网络混合投影同步进行研究.基于分数阶系统的稳定性理论和非线性反馈控制方法,通过设计有效的控制器,实现了不同节点的复杂网络的混合投影同步,并给出了实现投影同步的充分条件,不仅从理论上分析了该控制器可以使复杂网络系统实现投影同步,而且大量的数值模拟证明所设计控制器的正确性和有效性.

Hybrid projective synchronization of fractional-order complex dynamical networks

This paper studied the hybrid projective synchronization (HPS) in fractional-order complex networks. By means of the stability theorem of fractional-order systems and nonlinear control idea, we proposed an appropriate nonlinear controller to achieve the synchronization for complex networks. The controller was designed to make the fractional-order complex dynamical networks with distinct nodes asymptotically synchronize onto any smooth goal dynamics. Moreover, the corresponding simulations agreed well with the theoretical results.