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Theoretical analysis derives conditions for positivity and asymptotic stability in 2-D time-delay systems on time scales, suggesting reliable frameworks for complex multidimensional modeling.
This paper investigates the positivity and asymptotic stability for a class of two‐dimensional (2‐D) positive systems with time‐varying delays and on time scales. We first establish a sufficient condition guaranteeing the positivity of the considered system. Building upon this result, we develop a solution comparison method for analyzing its asymptotic stability and derive a corresponding stability criterion. Finally, a numerical example is presented to illustrate and validate the obtained results.
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Nguyen et al. (2026) studied this question.
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