Novel Razumikhin-type finite-time stability criteria of fractional nonlinear systems with time-varying delay

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-01-23 DOI:10.1016/j.aml.2025.109469

Shuihong Xiao, Jianli Li

引用次数: 0

Abstract

This paper investigates the finite-time stability (FTS) of fractional-order nonlinear systems with time-varying delay (FONDSs). Unlike most of the existing literatures on FTS of fractional-order nonlinear delayed systems by means of establishing delayed integral inequalities, several Razumikhin-type Lyapunov conditions are presented in this paper. Using these results, we derive stability criteria for fractional-order neural networks (FONNs) and fractional-order non-autonomous systems (FONASs), respectively. Finally, two numerical examples are provided to demonstrate the applicability and effectiveness of the proposed theorems.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.