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

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.

Automated summary

This paper considers nonhomogeneous systems governed by second-order linear differential equations with pure delay. 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. An example is provided to illustrate our theoretical results.