Robust finite-time stability of linear differential-algebraic delay equations

In this paper, we develop finite-time stability theory for linear differential-algebraic equations with delay. Based on the Lyapunov-like functional method, new delay-dependent sufficient conditions such that the system is regular, impulse-free and robustly finite-time stable are developed in terms of solutions of some linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the proposed result.