Asynchronous Event-Based Set Stabilization of Logical Control Networks and its Applications in Finite-Field Networks

作者：Ouyang, Chen; Li, Lulu^*; Li, Yuanyuan; Lu, Jianquan

来源：IEEE Transactions on Control of Network Systems, 2022, 9(1): 163-171.

DOI：10.1109/TCNS.2021.3089133

• Asynchronous event-triggered control
• finite-field networks (FFNs)
• logical control networks
• set stabilization

In this article, the asynchronous event-triggered control mechanism (AETCM) is introduced to the set stabilization problem of k-valued logical control networks (KVLCNs). Under the proposed AETCM, each node of the system updates its event-triggered instants independently. In this case, how to coordinate the behaviors of various nodes is a challenge for us. As for this article, we first transform the set stabilization problem of KVLCNs into the shortest path problem in graph theory and then construct a weighted directed hypergraph. Next, an improved heap-optimized Dijkstra algorithm is designed for the optimal asynchronous event-triggered controller. Furthermore, we study set stabilization of KVLCNs with time delays. In terms of applications, how to flexibly adapt the AETCM to specific models is a difficult problem. In this article, as applications, the consensus of finite-field networks with arbitrary communication delays and synchronization of KVLCNs is investigated. Finally, two numerical examples are shown to illustrate the effectiveness of the proposed algorithms.

• 单位
  南京林业大学