Stabilization of Markovian Jump Boolean Control Networks via Event-Triggered Control

• 成果类型: Article
• 署名作者: Chen, Bingquan; Cao, Jinde; Lu, Guoping; Rutkowski, Leszek
• 署名单位: Southeast University - China; Southeast University - China; Southeast University - China; Purple Mountain Laboratories; Yonsei University; Nantong University; Polish Academy of Sciences; Systems Research Institute of the Polish Academy of Sciences; AGH University of Krakow
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3151237
• 发表日期: 2023
• 页码: 1215-1222
• 关键词: Event-triggered control (ETC); Markovian jump Boolean control networks (MJBCNs); semi-tensor product; STABILITY; stabilization

摘要

In this article, we investigate the stabilization of Markovian jump Boolean control networks by a kind of event-triggered control, which is essentially an intermittent control scheme. First, a novel condition for the stability of Markovian jump Boolean networks is obtained based on the recurrence of finite-state homogeneous Markov chains. After that, the necessary and sufficient conditions for the stabilization of a Markovian jump Boolean control network by an event-triggered control are proposed based on an associated digraph, and the design method of the corresponding event-triggered control is given. Furthermore, in order to save control costs, we construct an event-triggered control with a minimal event-triggering set for the stabilization of the Markovian jump Boolean control network by finding a minimum-weight spanning branching forest of the associated digraph. Finally, an example is given to illustrate the effectiveness of the obtained results.