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

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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… Click to show full 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: time delay; generalized halanay; inequalities relative; relative application; application time; halanay inequalities

Journal Title: Mathematics
Year Published: 2023

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