Modeling and stabilization of multi-layer Boolean networks under pinning control

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-21 DOI:10.1016/j.cnsns.2025.109309

Fukun Liu , Jie Zhong , Chao Luo , Lunshi Xu , Hao Zhang

引用次数: 0

Abstract

This article studies the modeling and stabilization problem of multi-layer Boolean networks (MBN). Specifically, an MBN model with multiple interconnected hierarchical Boolean networks is proposed, where each layer has the same number of nodes and node distribution. The MBN is globally stabilized and intra-layer stabilized by pinning control, with the selection algorithms for pinned nodes in global and intra-layer being programmed to reduce the number of control nodes. Besides, controllers for the pinning nodes have also been designed. Finally, a numerical example of MBN is modeled, and pinning is controlled to demonstrate the validity of the proposed method.

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钉钉控制下多层布尔网络的建模与镇定

研究了多层布尔网络（MBN）的建模与镇定问题。具体而言，提出了一种具有多个相互连接的分层布尔网络的MBN模型，其中每层具有相同的节点数量和节点分布。通过钉住控制实现MBN的全局稳定和层内稳定，并对全局和层内钉住节点的选择算法进行编程，以减少控制节点的数量。此外，还设计了固定节点的控制器。最后，对MBN进行了数值模拟，并对固定进行了控制，验证了该方法的有效性。

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

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.