驱动-响应耦合随机布尔网络渐近同步的充分必要条件

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems Pub Date : 2025-03-25 DOI:10.1016/j.nahs.2025.101595

Hankang Ji , Yuanyuan Li , Xueying Ding , Jianquan Lu

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引用次数: 0

摘要

研究了驱动-响应随机布尔网络的渐近同步问题。提出了两个具有随机序列的耦合布尔网络，并利用半张量积性质导出了它们的代数形式。随后，引入了一种新的基于特征值的方法来建立这些网络渐近同步的充分必要条件。先前的同步结果通常是由转移概率矩阵的幂次推导出来的，而我们的方法只需要这个矩阵的特征值。最后，通过算例对所得结果进行了验证。

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Necessary and sufficient conditions for asymptotic synchronization of drive-response coupled stochastic Boolean networks

This paper studies the asymptotic synchronization of drive-response stochastic Boolean networks. We propose two coupled Boolean networks with stochastic sequences and then derive their algebraic forms using semi-tensor product property. Subsequently, a novel eigenvalue-based approach is introduced to establish necessary and sufficient conditions for the asymptotic synchronization of these networks. While prior synchronization results were typically derived from the powers of the transition probability matrix, our method requires only the eigenvalues of this matrix. Finally, several examples are provided to validate the results obtained.

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来源期刊

Nonlinear Analysis-Hybrid Systems AUTOMATION & CONTROL SYSTEMS-MATHEMATICS, APPLIED

CiteScore

8.30

自引率

9.50%

发文量

审稿时长

>12 weeks

期刊介绍： Nonlinear Analysis: Hybrid Systems welcomes all important research and expository papers in any discipline. Papers that are principally concerned with the theory of hybrid systems should contain significant results indicating relevant applications. Papers that emphasize applications should consist of important real world models and illuminating techniques. Papers that interrelate various aspects of hybrid systems will be most welcome.