Stabilization Criteria of Probabilistic Boolean Control Networks under Asynchronous Updating

本文主要研究的是异步更新下概率布尔控制网络的镇定性问题,给出了异步更新下概率布尔控制 网络与传统的概率布尔控制网络的等价性,并给出了系统有限时间反馈镇定的充要条件。This paper focuses on the stabilization problem of probabilistic Boolean control net- works under asynchronous updates. We establish the equivalence between probabilis-tic Boolean control networks under asynchronous updates and traditional probabilistic Boolean control networks, and provide necessary and sufficient conditions for finite- time feedback stabilization of the system.

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Publication Details

Journal
Advances in Applied Mathematics
Published
2025-01-01
DOI
https://doi.org/10.12677/aam.2025.145289
Primary Topic
Gene Regulatory Network Analysis
Type
article
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article

Stabilization Criteria of Probabilistic Boolean Control Networks under Asynchronous Updating

磊 陈
Advances in Applied Mathematics
Gene Regulatory Network Analysis
article

Stabilization Criteria of Probabilistic Boolean Control Networks under Asynchronous Updating

磊 陈
article en

Abstract

本文主要研究的是异步更新下概率布尔控制网络的镇定性问题,给出了异步更新下概率布尔控制 网络与传统的概率布尔控制网络的等价性,并给出了系统有限时间反馈镇定的充要条件。This paper focuses on the stabilization problem of probabilistic Boolean control net- works under asynchronous updates. We establish the equivalence between probabilis-tic Boolean control networks under asynchronous updates and traditional probabilistic Boolean control networks, and provide necessary and sufficient conditions for finite- time feedback stabilization of the system.

Advances in Applied MathematicsVol. 14(05)
Openalex Percentile: Top 89%
Gene Regulatory Network Analysis
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Stabilization Criteria of Probabilistic Boolean Control Networks under Asynchronous Updating — 磊 陈 · Advances in Applied Mathematics (2025) | TGRS Research Map | TGRS