Observability Decomposition of Boolean Control Networks

• 成果类型: Article
• 署名作者: Li, Yifeng; Zhu, Jiandong
• 署名单位: Chongqing Normal University; Nanjing Normal University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3149970
• 发表日期: 2023
• 页码: 1267-1274
• 关键词: Observability; Matrix decomposition; Systems biology; Stability criteria; Social sciences; regulation; PROCESS CONTROL; Boolean control networks (BCNs); observability decomposition; Index Terms; semitensor product of matrices; vertex partition condition

摘要

This article investigates the observability decomposition of Boolean control networks (BCNs) under the algebraic frame based on the semitensor product of matrices. First, the definition for the observability decomposition of BCNs is proposed, which is consistent with the observability decomposition of traditional linear control systems. Then, by using the vertex partition method, a necessary and sufficient vertex partition condition for the observability decomposition of BCNs is proposed. Next, an algorithm is designed for the analysis and realization of observability decomposition. Finally, a biological example and a counterexample are analyzed to illustrate the obtained results.