examples. T work made for analyzing the finite- time stability of impulsive nonlinear delay damped system with caputo fractional derivative of orders and . S conditions which are derived from extended form of G inequality to analyze the stability in the finite range of time for such multi- term fractional- order impulsive control system. T potential of the proposed approach is demonstrated with the support of two numerical. Finite-Time Stability of Impulsive Fractional-Order Time Delay Systems with Damping Behavior. DNC [Internet]. 2026 Aug. 17 [cited 2026 Aug. 17];12(1):23-3. Available from: https://lhscientificpublishing.com/index.php/DNC/article/view/1667