Robust set stabilization of Boolean control networks with edge removal perturbations

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-01-01 Epub Date: 2024-09-21 DOI:10.1016/j.cnsns.2024.108355

Yuexin Liu , Anna Feng , Jiahao Wu , Jie Zhong , Bowen Li

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Abstract

This paper examines robust set stabilization in Boolean control networks (BCNs) under a new edge removal perturbations framework. Edge removal perturbations are characterized by the random elimination of certain edges, thereby disrupting the interactive dynamics between nodes. To counteract these perturbations, an edge addition control strategy is proposed to achieve set stabilization in BCNs. This strategy involves selectively adding edges to restore and enhance the connections between nodes. Then, one necessary and sufficient condition is given in this paper, complemented by a practical criterion for verification. Additionally, the design of state feedback controllers that facilitate robust set stabilization under the proposed edge addition control is outlined. To demonstrate the efficacy of this approach proposed in this paper, a biological example is presented, validating the obtained main results.

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具有去边扰动的布尔控制网络的鲁棒集稳定性

本文研究了布尔控制网络（BCN）在新的边缘去除扰动框架下的稳健集稳定问题。去边扰动的特点是随机消除某些边，从而破坏节点之间的交互动态。为了抵消这些扰动，我们提出了一种边缘添加控制策略，以实现 BCN 的集合稳定。该策略包括有选择地添加边，以恢复和增强节点之间的连接。然后，本文给出了一个必要条件和充分条件，并补充了一个实用的验证标准。此外，本文还概述了如何设计状态反馈控制器，以便在拟议的边缘添加控制下实现稳健的集合稳定。为了证明本文所提方法的有效性，本文列举了一个生物实例，以验证所获得的主要结果。

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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.