One-Bit Function Perturbation Impact on Robust Set Stability of Boolean Networks with Disturbances

Autor:	Lei Deng, Xiujun Cao, Jianli Zhao
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	boolean networks disturbances one-bit function perturbation robust set stability semi-tensor product of matrices Mathematics QA1-939
Zdroj:	Mathematics, Vol 12, Iss 14, p 2258 (2024)
Druh dokumentu:	article
ISSN:	2227-7390 34977848
DOI:	10.3390/math12142258
Popis:	This paper investigates the one-bit function perturbation (OBFP) impact on the robust set stability of Boolean networks with disturbances (DBNs). Firstly, the dynamics of these networks are converted into the algebraic forms utilizing the semi-tensor product (STP) method. Secondly, OBFP’s impact on the robust set stability of DBNs is divided into two situations. Then, by constructing a state set and defining an index vector, several necessary and sufficient conditions to guarantee that a DBN under OBFP can stay robust set stable unchanged are provided. Finally, a biological example is proposed to demonstrate the effectiveness of the obtained theoretical results.
Databáze:	Directory of Open Access Journals
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