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

Chunsheng Wang, Xiangdong Liu (), Feng Jiao (), Hong Mai, Han Chen and Runpeng Lin
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Chunsheng Wang: Software Engineering Institute of Guangzhou, Guangzhou 510990, China
Xiangdong Liu: School of Economics, Jinan University, Guangzhou 510632, China
Feng Jiao: School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
Hong Mai: School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
Han Chen: School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen 518172, China
Runpeng Lin: Software Engineering Institute of Guangzhou, Guangzhou 510990, China

Mathematics, 2023, vol. 11, issue 8, 1-11

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.

Keywords: generalized Halanay inequalities; exponential stability; boundedness; fixed point method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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