Local set stability and target control of probabilistic Boolean networks

IF 2.1 3区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Systems & Control Letters Pub Date : 2024-10-01 DOI:10.1016/j.sysconle.2024.105935

Xinrong Yang, Haitao Li

引用次数: 0

Abstract

This paper analyzes the local set stability of probabilistic Boolean networks (PBNs), including local finite-time set stability with probability one (FSSPO) and local asymptotic set stability with probability one (ASSPO). Firstly, a necessary and sufficient condition is proposed for the local FSSPO of PBNs. Then, a reachable set with probability one is constructed, based on which, the largest domain of attraction for the local FSSPO of PBNs is determined. Secondly, by constructing two parameterized sets, the transition probability matrix of PBNs is properly partitioned, and the largest domain of attraction for the ASSPO is depicted. Finally, for PBNs which are locally stable, the target control is introduced to achieve the global FSSPO and global ASSPO of PBNs, respectively.

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概率布尔网络的局部集稳定性和目标控制

本文分析了概率布尔网络（PBN）的局部集合稳定性，包括概率为一的局部有限时间集合稳定性（FSSPO）和概率为一的局部渐近集合稳定性（ASSPO）。首先，提出了 PBN 局部 FSSPO 的必要条件和充分条件。然后，构建了概率为一的可达集，并在此基础上确定了 PBN 局部 FSSPO 的最大吸引域。其次，通过构建两个参数化集，对 PBN 的过渡概率矩阵进行适当划分，并描绘出 ASSPO 的最大吸引域。最后，针对局部稳定的 PBN，引入目标控制，分别实现 PBN 的全局 FSSPO 和全局 ASSPO。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Systems & Control Letters 工程技术-运筹学与管理科学

CiteScore

4.60

自引率

3.80%

发文量

144

审稿时长

6 months

期刊介绍： Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.