Robust set stability of implicit Boolean networks with time delay and function perturbation

Mengyuan Qin, Haitao Li and Guodong Zhao

International Journal of Systems Science, 2026, vol. 57, issue 4, 954-964

Abstract: This paper studies the explicit form and robust set stability of time-delayed implicit Boolean networks (TDIBNs) with function perturbation. Firstly, the dynamics of TDIBNs is converted to an algebraic form by using the semi-tensor product, based on which, a necessary and sufficient condition is presented for the uniqueness of solution to TDIBNs, and the explicit form is obtained for the considered TDIBNs. Secondly, the explicit form is converted into the form of block logical dynamical systems (BLDSs), and the set stability of TDIBNs is analysed via the set stability of BLDSs. Thirdly, a verifiable criterion is presented for the robust set stability of TDIBNs based on the information of function perturbation and the state transition of original explicit form. Finally, a simple model of apoptosis network is used to show the effectiveness of the obtained results.

Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/00207721.2025.2519195 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:taf:tsysxx:v:57:y:2026:i:4:p:954-964

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/TSYS20

DOI: 10.1080/00207721.2025.2519195

Access Statistics for this article

International Journal of Systems Science is currently edited by Visakan Kadirkamanathan

More articles in International Journal of Systems Science from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().