Local set stability and target control of probabilistic Boolean networks

被引：0
|
作者：
Yang, Xinrong [1 ]
Li, Haitao [1 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
来源：
SYSTEMS & CONTROL LETTERS | 2024年 / 193卷
基金：
中国国家自然科学基金;
关键词：
Probabilistic Boolean network; Set stability; Largest domain of attraction; Target control; Algebraic state space representation; STABILIZATION; ATTRACTION;
D O I：
10.1016/j.sysconle.2024.105935
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 paper analyzes the local set stability of probabilistic Boolean networks (PBNs), including local finite-time set stability with probability one (FSSPO) and local asymptotic set stability with probability one (ASSPO). Firstly, a necessary and sufficient condition is proposed for the local FSSPO of PBNs. Then, a reachable set with probability one is constructed, based on which, the largest domain of attraction for the local FSSPO of PBNs is determined. Secondly, by constructing two parameterized sets, the transition probability matrix of PBNs is properly partitioned, and the largest domain of attraction for the ASSPO is depicted. Finally, for PBNs which are locally stable, the target control is introduced to achieve the global FSSPO and global ASSPO of PBNs, respectively.
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页数：8
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