Distributed Adaptive Algorithms for Intralayer Synchronization of Multiplex Networks
研究了多层网络中实现层内同步的两种分布式自适应算法（基于节点和基于边），通过调整耦合强度或权重，在温和条件下保证同步，适用于网络科学和同步控制领域。
This article investigates distributed adaptive algorithms for intralayer synchronization of multiplex networks, both with and without pinning control. Two types of distributed adaptive algorithms are considered based on the parameters being adjusted: 1) node-based algorithms, which adapt the coupling strength of each node using the relative information from its neighborhood and itself, and 2) edge-based algorithms, which update the coupling weight of each edge based on the relative information between the two connected nodes. Using the Lyapunov function method, we prove that, under mild conditions on the uncoupled node dynamics, the proposed adaptive strategies guarantee intralayer synchronization for any multiplex network with strongly connected intralayer topologies.