一类异结构分数阶复杂网络的自适应同步

复杂网络结构的复杂性以及节点行为的多样性等因素, 使得分数阶复杂网络的同步与控制研究得到了国内外研究者的广泛关注。本文讨论了异结构分数阶复杂网络的同步问题。应用自适应控制方法设计出一类非常简单的控制器,基于分数阶稳定性理论,选择合适的分数阶参数,推导出两类异结构分数阶复杂网络状态同步的充分条件,仿真结果进一步验证了本文所设计自适应控制器的有效性,并详细分析了分数阶参数复杂网络同步的影响。

Synchronization for Fractional-order Complex Networks with Different Structures via Adaptive Control

The structure complexity of complex networks, the diversity of node behaviors and other factors make that the synchronization and control of fractional-order complex networks have attracted wide attention of researchers both at home and abroad. This paper discusses the synchronization problem for two fractional-order complex networks with different structures. Based on the theory of fractional-order stability, an adaptive controller is designed and an suitable parameter for the fractional order, then some sufficient conditions would be derived to make the two fractional-order complex networks with different structures synchronize. Finally, the numerical simulations are shown to verify the feasibility and effectiveness of the research method in this paper.