AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (338.8 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Theory Article | Open Access

Robust stability of switched Boolean networks with external disturbances and function perturbation

Zhiqiao Tian, Haitao Li( )
School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China
Show Author Information

Abstract

This paper focused on the robust stability of switched Boolean networks (SBNs) subject to external disturbances and one-bit function perturbation. The reachable sets of a perturbed state before and after function perturbation were constructed, and some basic properties of these reachable sets were presented. Based on the reachable sets of a perturbed state, a necessary and sufficient condition was proposed to verify the robust stability of SBNs with one-bit function perturbation.

Keywords

switched Boolean networkexternal disturbancefunction perturbationrobust stabilitysemi-tensor product of matrices
CLC number: 93D09, 94C11

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 10 Issue 7,
July 2025
Pages 17291-17304
DOI: 10.3934/math.2025773

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Tian Z, Li H. Robust stability of switched Boolean networks with external disturbances and function perturbation. AIMS Mathematics, 2025, 10(7): 17291-17304. https://doi.org/10.3934/math.2025773

51

Views

0

Downloads

1

Crossref

1

Web of Science

1

Scopus
Received: 21 May 2025
Revised: 30 June 2025
Accepted: 18 July 2025
Published: 15 July 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)