A new method for global h-stability analysis for discrete-time nonlinear systems with time-varying delays

被引：0
作者：
Zhang, Xian [1 ,2 ]
Zhang, Huan [1 ]
Yang, Xiaona [1 ,2 ]
Yu, Tianqiu [1 ,2 ]
机构：
[1] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Heilongjiang, Peoples R China
[2] Heilongjiang Univ, Heilongjiang Prov Key Lab Theory & Computat Comple, Harbin, Heilongjiang, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2025年 / 48卷 / 05期
基金：
中国国家自然科学基金;
关键词：
a direct method based on system solutions; discrete-time nonlinear systems; global h-stability; time-varying delays; NEURAL-NETWORKS;
D O I：
10.1002/mma.10610
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
n this paper, we characterize the global h-stability of discrete-time nonlinear systems (DTNSs) with time-varying delays. The globalh-stability encompasses several well-known types of stability by using different choices of h functions, such as global exponential stability (ES), Lagrange exponential stability (LES),and asymptotic stability. By exploiting a direct method based on the system solutions, we give a sufficient condition for the global h-stability of the DTNSs in the form of simple inequalities that can be easily handled in MATLAB. Finally, numerical examples are presented to demonstrate the applicability of the method.
引用
收藏
页码：5444 / 5457
页数：14
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