|
| 摘要: |
| 本文探讨了由两个子网构成的有向相互依存网络的骨干结构识别问题.基于李雅普诺夫稳定性理论、自适应同步控制技术和线性矩阵不等式（LMI）方法，本文提出了使得驱动网络和响应网络达到自适应同步的充分条件.这些条件使得在网络达到同步的同时，获得驱动网络的骨干结构的识别.最后的数值模拟验证了本文所提出的理论的正确性和有效性. |
| 关键词: 有向相互依存网络 骨干结构识别 自适应同步 LMI 李雅普诺夫稳定性理论 |
| DOI： |
| 分类号:O231.9 |
| 基金项目:国家自然科学基金资助（61473338）. |
|
| SYNCHRONIZATION-BASED BACKBONE STRUCTURE IDENTIFICATION FOR DIRECTED INTERDEPENDENT NETWORKS |
|
CHEN Jie-yi,TU Li-lan,YU Dong
|
| Abstract: |
| In this paper, the problem of backbone structure identification for directed interdependent networks is investigated, which is composed of two subnets. Based on Lyapunov stability theory, adaptive synchronization and control technology and linear matrix inequality method, some sufficient conditions for the adaptive synchronization of drive network and response network are proposed in this paper. These conditions enable us to identify the backbone structure of the drive network while the networks obtain their synchronization. Finally, some numerical simulations verify the correctness and effectiveness of the theory presented in this paper. |
| Key words: directed interdependent networks backbone structure identification adaptive synchronization LMI Lyapunov stability theory |
