Title
Asynchronous Event-Based Set Stabilization of Logical Control Networks and its Applications in Finite-Field Networks
Abstract
In this article, the asynchronous event-triggered control mechanism (AETCM) is introduced to the set stabilization problem of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$k$</tex-math></inline-formula> -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.
Year
DOI
Venue
2022
10.1109/TCNS.2021.3089133
IEEE Transactions on Control of Network Systems
Keywords
DocType
Volume
Asynchronous event-triggered control,finite-field networks (FFNs),logical control networks,set stabilization
Journal
9
Issue
ISSN
Citations 
1
2325-5870
1
PageRank 
References 
Authors
0.35
30
4
Name
Order
Citations
PageRank
Chen Ouyang110.35
Lulu Li235718.42
Yuanyuan Li320630.10
Jianquan Lu42337116.05