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Two general Halanay-type inequalities and their applications to linear differential equations with unbounded delays
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DOI：10.1080/00207721.2026.2671014.png)
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Abstract
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This paper investigates the qualitative properties of solutions to delay differential equations with potentially unbounded delays, focusing on asymptotic stability and finite-time stability. A key contribution of this work is the development of a unified framework that addresses both properties simultaneously by integrating Halanay-type inequalities with the theory of positive system representations. Numerical examples are presented to demonstrate the practical effectiveness of the proposed theoretical results.
Keywords:
Asymptotic behaviour
delay differential equations
finite-time stability
Halanay type inequality
unbounded delays
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