一个改进的非线性时滞系统Razumikhin型稳定性判据  

An Improved Stability Criterion of Razumikhin-type for Nonlinear Time-delay Systems

作　　者：尹燕娜 冯立康 姚立强[1] YIN Yanna;FENG Likang;YAO Liqiang(School of Mathematics and Information Sciences,Yantai University,Yantai 264005,China)

机构地区：[1]烟台大学数学与信息科学学院,山东烟台264005

出　　处：《鲁东大学学报(自然科学版)》2025年第1期83-88,共6页Journal of Ludong University:Natural Science Edition

基　　金：山东省自然科学基金(ZR2020MA033)。

摘　　要：本文研究一类非线性时滞系统的稳定性问题,提出了一个改进的Razumikhin型全局一致实用指数稳定性判据。与现有的稳定性判据相比,所提出的稳定性结论突破了Lyapunov函数导数必须是负定的限制条件,允许其导数可以是不定的。为了说明稳定性判据的合理性,给出了仿真算例进行验证。In this paper,the stability problem of a class of nonlinear systems with time delay was studied,and a new global uniformly practical exponential stability criterion of Razumikhin-type was presented.Compared with the existing stability criterion,the proposed stability result removes the constraint that the derivative of Lyapunov function must be negative definite,and allows its derivative to be indeterminate.In order to illustrate the rationality of the stability criterion,a simulation example was given to verify.

关 键 词：Razumikhin方法 时滞系统 实用指数稳定 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]