Finite-time stability for singular linear time-delay systems with time-varying exogenous disturbance

In this paper finite-time stability guaranteeing singular linear time-delay systems with time-varying exogenous disturbances is defined. A sufficient condition of the finite-time stability for this kind of systems is presented. Furthermore, the condition is reduced to feasible problems involving linear matrix inequalities. The effectiveness of the approach proposed in this paper is presented by a numerical example.