Set Controllability of Boolean Control Networks Under Stochastic Function Perturbation

被引：1

作者：

Zhong, Jie ^{[1
]}

Lin, Shinan ^{[1
]}

Wang, Yong ^{[1
]}

Wang, Yaqi ^{[2
]}

机构：

[1] Zhejiang Normal Univ, Coll Math Sci, Jinhua 321004, Peoples R China

[2] Qufu Normal Univ, Sch Engn, Rizhao 276826, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2024年 / 71卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Controllability; Perturbation methods; Stochastic processes; Observability; Indexes; Matrix converters; Switches; Boolean control networks; set controllability; stochastic function perturbation; STABILIZATION; OBSERVABILITY; STABILITY;

D O I：

10.1109/TCSII.2023.3321291

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this brief, we investigate the effect on set controllability and observability of Boolean control networks (BCNs) under stochastic function perturbation. To begin with, the logical functions of BCNs under stochastic function perturbation are converted into an algebraic expression by using semi-tensor product (STP) of matrices. Next, several effective criteria are given to guarantee controllability and set controllability of system under stochastic function perturbation. A sufficient condition for judging observability is obtained by set controllability. In the end, the validity of the obtained theoretical results is examined through a biological example.

引用

页码：1286 / 1290

页数：5

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