一类异结构分数阶复杂网络的自适应同步  

Synchronization for fractional-order complex networks with different structures via adaptive control

作　　者：刘娜[1] 邓玮[1] 方洁[1] 丁国强[1] Liu Na Deng Wei Fang Jie Ding Guoqiang(School of Electric ＆ Information Engineering, Zhengzhou University of Light Industry, Zhengzhou 450002, Chin)

机构地区：[1]郑州轻工业学院电气学院,郑州450002

出　　处：《计算机应用研究》2017年第9期2655-2658,共4页Application Research of Computers

基　　金：国家自然科学基金资助项目(61473128);河南省联合基金资助项目(U1204603);河南省高校重点科研资助项目(15A120022);郑州轻工业学院博士科研基金资助项目(2014BSJJ047);河南省自然科学资金面上项目(162300410323);河南省基础与前沿技术研究计划项目(152300410130)

摘　　要：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。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。The structure complexity of complex networks, the diversity of node behaviors and other factors make that the syn- chronization and control of fractional-order complex networks have attracted wide attention of researchers both at home and abroad. This paper discussed the synchronization problem for two fractional-order complex networks with different structures. Based on the theory of fractional-order stability, it designed an adaptive controller 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 struc- tures synchronize. Finally, the numerical simulations verified the feasibility and effectiveness of the research method.

关 键 词：分数阶 异结构复杂网络 自适应同步 

分 类 号：TP301.5[自动化与计算机技术—计算机系统结构]