具有未知参数和时变拓扑的复杂网络同步研究  

Synchronization of Complex Networks with Unknown Parameters and Time-Varying Topology

作　　者：刘洋 孙安宁 张川 

机构地区：[1]曲阜师范大学数学科学学院,山东 曲阜

出　　处：《应用数学进展》2022年第4期2145-2155,共11页Advances in Applied Mathematics

摘　　要：本文利用Lyapunov稳定性理论以及自适应控制等方法,针对具有未知参数和时变拓扑的复杂网络同步控制问题进行研究。首先,提出的复杂网络模型是全新的,模型同时考虑了未知参数和时变拓扑的影响;其次,针对提出的复杂网络模型,通过设计合适的自适应控制器,基于Lyapunov稳定性理论,分别得到了复杂网络实现完全同步和反同步的充分条件;最后,针对复杂网络的自适应控制完全同步和反同步,给出了两个仿真例子验证了结论的正确性。In this paper, the Lyapunov stability theory and adaptive control method are used to study the synchronization control problem of complex networks with unknown parameters and time-varying topology. Firstly, the proposed complex network model is completely new, which considers the influence of unknown parameters and time-varying topology simultaneously. Secondly, based on Lyapunov stability theory, sufficient conditions for complete synchronization and anti-synchronization of complex network are obtained by designing appropriate adaptive controller. Finally, two simulation examples are given to verify the correctness of the conclusion for the complete synchronization and anti-synchronization of adaptive control in complex networks.

关 键 词：复杂网络 自适应控制 完全同步 反同步 

分 类 号：TP393[自动化与计算机技术—计算机应用技术]