New Criteria for Finite-Time Stability of Linear Time-Delay Systems

In this paper, we discuss the finite-time stability of linear time-delay systems. Firstly, by constructing a time-varying quadratic Lyapunov function, we establish a new finite-time stability criterion for the general linear time-delay system. Then, explicit conditions for finite-time stability of positive linear time-delay system are proposed in terms of linear inequalities by introducing a time-varying linear copositive Lyapunov function. Finally, a numerical example is given to demonstrate the effectiveness of the method.