Asymptotic Stability of Boolean Networks With Multiple Missing Data

• 成果类型: Article
• 署名作者: Huang, Chi; Wang, Wei; Lu, Jianquan; Kurths, Jurgen
• 署名单位: Southwestern University of Finance & Economics - China; Taiyuan University of Technology; Chengdu University; Southeast University - China; Potsdam Institut fur Klimafolgenforschung; Humboldt University of Berlin; Saratov State University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3060733
• 发表日期: 2021
• 页码: 6093-6099
• 关键词: Asymptotic stability; Stability criteria; Mathematical model; data models; Biological system modeling; tools; Probabilistic logic; asymptotic stability; Boolean network (BN); multiple missing data; semitensor product (STP)

摘要

In actual network transmission, data loss due to network congestion and power shortage is unavoidable. However, this phenomenon has not been considered in Boolean networks (BNs) analysis so far. The loss of data is usually random, so BNs with missing data are modeled by introducing Bernoulli distribution sequences. A novel augmented system is constructed to deal with the randomly missing data. The initial states of the BNs are supposed to be chosen from the whole space or only part of it, which leads to the global and local stable problems. Some necessary and sufficient conditions are proposed for both problems. Two algorithms are developed to check the asymptotic stability of BNs. An illustrative example is also given to show the effectiveness of the derived results.