Generalized Halanay Inequalities and Relative Application to Time-Delay Dynamical Systems
Chunsheng Wang, Xiangdong Liu, Feng Jiao, Hong Mai, Han Chen, Runpeng Lin
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.
Topics & Concepts
MathematicsStability (learning theory)Class (philosophy)Applied mathematicsInequalityFixed-point theoremCalculus (dental)Mathematical analysisComputer scienceArtificial intelligenceDentistryMedicineMachine learningFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisOptimization and Variational Analysis