Generalized Halanay Inequalities and Relative Application to Time-Delay Dynamical Systems-Reference-Cited by-同舟云学术

Generalized Halanay Inequalities and Relative Application to Time-Delay Dynamical Systems

Published:2023-04-20 Issue:8 Volume:11 Page:1940
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Wang Chunsheng¹²³,Liu Xiangdong⁴,Jiao Feng⁵,Mai Hong⁵,Chen Han⁶,Lin Runpeng¹

Affiliation:

1. Software Engineering Institute of Guangzhou, Guangzhou 510990, China

2. Faculty of Finance, City University of Macau, Macau 999078, China

3. School of Mathematical and Computational Science, Hunan University of Science and Technology, Xiangtan 411201, China

4. School of Economics, Jinan University, Guangzhou 510632, China

5. School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China

6. School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen 518172, China

Abstract

A class of generalized Halanay inequalities is studied via the Banach fixed point method and comparison principle. The conditions to ensure the boundedness and stability of the zero solution are obtained in this study. This research provides a new approach to the study of the boundedness and stability of Halanay inequality. Numerical examples and simulation results verify the validity and superiority of the conclusions obtained in this study.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Guangdong

Foundation of Characteristic innovation project of universities in Guangdong Province

Project of educational science planning of Guangdong Province

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/8/1940/pdf

Reference21 articles.