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

Zhiqiao Tian; Haitao Li; Zhiqiao Tian; Haitao Li

doi:10.3934/math.2025773

AIMS Mathematics

2025, Volume 10, Issue 7: 17291-17304. doi: 10.3934/math.2025773

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Theory article

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

Received: 21 May 2025 Revised: 30 June 2025 Accepted: 18 July 2025 Published: 31 July 2025
MSC : 93D09, 94C11

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.
- switched Boolean network,
- external disturbance,
- function perturbation,
- robust stability,
- semi-tensor product of matrices
Citation: Zhiqiao Tian, Haitao Li. Robust stability of switched Boolean networks with external disturbances and function perturbation[J]. AIMS Mathematics, 2025, 10(7): 17291-17304. doi: 10.3934/math.2025773

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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.

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