Discrete fractional-order Halanay inequality with mixed time delays and applications in discrete fractional-order neural network systems

被引：0

作者：

Liu, Xiang ^{[1
]}

Yu, Yongguang ^{[2
]}

机构：

[1] Hebei Normal Univ, Sch Math Sci, Hebei Key Lab Computat Math & Applicat, Shijiazhuang 050024, Peoples R China

[2] Beijing Jiaotong Univ, Sch Math & Stat, Beijing 100044, Peoples R China

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2025年 / 28卷 / 03期

关键词：

Discrete fractional-order neural network systems; Discrete fractional-order Halanay inequality; Mixed time delays; Stability; Synchronization; SYNCHRONIZATION; STABILITY;

D O I：

10.1007/s13540-025-00395-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, which can be considered as an extension of our previous publication (Liu and Yu in Fract Calc Appl Anal 25:2040-2061, 2022) in same journal, we analyze the stability and synchronization for the discrete fractional-order neural network systems with mixed time delays. By new techniques, we give the proof of the discrete fractional-order Halanay inequality with mixed time delays, which contains both discrete and distributed time delays. Then, using this fractional-order Halanay inequality and constructing an appropriate Lyapunov function, we give the sufficient criteria of Mittag-Leffler stability and synchronization for the discrete fractional-order neural network systems with mixed time delays. Finally, an example is provided to illustrated one of the results.

引用

页码：1384 / 1403

页数：20

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