Output Robustness of Probabilistic Boolean Control Networks With Respect to One-Bit Perturbation

被引：17

作者：

Zhu, Shiyong ^{[1
]}

Lu, Jianquan ^{[1
]}

Huang, Tingwen ^{[2
]}

Liu, Yang ^{[3
]}

机构：

[1] Southeast Univ, Sch Math, Dept Syst Sci, Nanjing 210096, Peoples R China

[2] Texas A&M Univ Qatar, Doha 23874, Qatar

[3] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua 321004, Zhejiang, Peoples R China

来源：

IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS | 2020年 / 7卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Depth-first search; one-bit perturbation; output robustness; probabilistic Boolean networks; semi-tensor product of matrices; STATE-FEEDBACK STABILIZATION; SET STABILIZATION; STABILITY;

D O I：

10.1109/TCNS.2020.2999456

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Robustness is an important property for the analysis of network systems. In this article, we investigate the ability of probabilistic Boolean control networks (PBCNs) to keep output tracking to a constant reference signal under one-bit perturbation, and it is briefly termed as output robustness thereafter. Considering the output robustness of PBCNs, the traditional approaches in the preceding literature are disabled. To this end, we use the strongly connected components to characterize the invariant subset. The salient advantage of this approach is that the obtained invariant subset is equipped with a minute structure. Then, a component digraph is constructed. Based on it, two necessary and sufficient criteria are, respectively, derived for finite-time and asymptotic output tracking of PBCNs. Moreover, one-bit perturbation is classified into three categories with respect to different influence on the output tracking. Finally, a biological example demonstrates the availability of our theoretical results.

引用

页码：1769 / 1777

页数：9