Observability Decomposition of Boolean Control Networks

被引：15
|
作者：
Li, Yifeng [1 ]
Zhu, Jiandong [2 ]
机构：
[1] Chongqing Normal Univ, Natl Ctr Appl Math Chongqing, Chongqing 401331, Peoples R China
[2] Nanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210023, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2023年 / 68卷 / 02期
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; CONTROLLABILITY; DYNAMICS; INPUT;
D O I：
10.1109/TAC.2022.3149970
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
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.
引用
收藏
页码：1267 / 1274
页数：8
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