Minimum-Time and Minimum-Triggering Observability of Stochastic Boolean Networks

• 成果类型: Article
• 署名作者: Zhu, Shiyong; Lu, Jianquan; Lin, Lin; Liu, Yang
• 署名单位: Southeast University - China; Chengdu University; Zhejiang Normal University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3069739
• 发表日期: 2022
• 页码: 1558-1565
• 关键词: Observability; switches; asymptotic stability; Stability criteria; Numerical stability; linear programming; Two dimensional displays; Algebraic state space representation (ASSR) approach; Markovian jump Boolean networks (MJBNs); observability; minimum-time control; minimum-triggering control

摘要

This article investigates the observability of Markovian jump Boolean networks (MJBNs) via algebraic state space representation approach. A necessary and sufficient criterion in the form of linear programming is derived for the asymptotic observability in distribution of MJBNs, and several conditions are obtained for the finite-time observability based on the properties of nilpotent matrices. Subsequently, in order to minimize the time consumption, a maximum principle is established to address the minimum-time observability problem. With regard to the event-triggered output feedback observability, an efficient procedure is developed to minimize the number of triggering events. Finally, three numerical examples are employed to demonstrate the effectiveness of theoretical results.