Stability and Stabilization in Probability of Probabilistic Boolean Networks

Chi Huang, Jianquan Lu, Guisheng Zhai, Jinde Cao, Guoping Lu, Matjaz Perc

研究成果: Article査読

27 被引用数 (Scopus)

抄録

This article studies the stability in probability of probabilistic Boolean networks and stabilization in the probability of probabilistic Boolean control networks. To simulate more realistic cellular systems, the probability of stability/stabilization is not required to be a strict one. In this situation, the target state is indefinite to have a probability of transferring to itself. Thus, it is a challenging extension of the traditional probability-one problem, in which the self-transfer probability of the target state must be one. Some necessary and sufficient conditions are proposed via the semitensor product of matrices. Illustrative examples are also given to show the effectiveness of the derived results.

本文言語English
論文番号9046240
ページ(範囲)241-251
ページ数11
ジャーナルIEEE Transactions on Neural Networks and Learning Systems
32
1
DOI
出版ステータスPublished - 2021 1

ASJC Scopus subject areas

  • ソフトウェア
  • コンピュータ サイエンスの応用
  • コンピュータ ネットワークおよび通信
  • 人工知能

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