Finite-Time Stability Analysis of Linear Differential Systems with Pure Delay

Ahmed M. Elshenhab, Xing Tao Wang, Omar Bazighifan, Jan Awrejcewicz · Mathematics · 2022

Nonhomogeneous systems governed by second-order linear differential equations with pure delay are considered. As an application, the exact solutions of these systems and their delayed matrix functions are used to obtain the finite-time stability results. Our results extend and improve some previous results by removing some restrictive conditions. Finally, an example is provided to illustrate our theoretical results.

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