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
DOI: 10.12677/AAM.2022.114231, PDF,    国家自然科学基金支持
作者: 刘 洋, 孙安宁, 张 川*：曲阜师范大学数学科学学院，山东 曲阜
关键词: 复杂网络；自适应控制；完全同步；反同步；Complex Networks； Adaptive Control； Complete Synchronization； Anti-Synchronization
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。
Abstract: 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.
文章引用：刘洋, 孙安宁, 张川. 具有未知参数和时变拓扑的复杂网络同步研究[J]. 应用数学进展, 2022, 11(4): 2145-2155. https://doi.org/10.12677/AAM.2022.114231

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