Global Mittag-Leffler stability and synchronization for impulsive fractional-order gene regulatory networks with time-varying delays and structured uncertainties

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-05-28 DOI:10.1016/j.jmaa.2025.129728

Zhiming Wang , Zhaohua Wu

引用次数: 0

Abstract

This paper considers the impulsive fractional-order gene regulatory networks with time-varying delays and structured uncertainties (UDFGRNs). The contributions lie in three aspects: First, the sufficient conditions on the global Mittag-Leffler stability and Mittag-Leffler synchronization are established based on the Lyapunov function and the Razumikhin technique. Second, the impulsive effects on the Mittag-Leffler stability and synchronization of UDFGRNs are investigated. Finally, two numerical simulation examples are given to demonstrate the correctness and effectiveness of the Mittag-Leffler stability and synchronization conditions.

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具有时变时滞和结构不确定性的脉冲分数阶基因调控网络的全局mittagg - leffler稳定性和同步

本文研究具有时变时滞和结构不确定性的脉冲分数阶基因调控网络。贡献主要体现在三个方面：首先，基于Lyapunov函数和Razumikhin技术建立了全局Mittag-Leffler稳定和Mittag-Leffler同步的充分条件；其次，研究了脉冲对udfgrn的Mittag-Leffler稳定性和同步的影响。最后，给出了两个数值仿真实例，验证了所提出的Mittag-Leffler稳定性和同步条件的正确性和有效性。

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

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.