Local Finite-Time Stability for a Class of Time-Delay Systems

This article studies the local finite-time stability for a class of time-delay systems. Some Lyapunov-based sufficient conditions are proposed in the framework of finite time, where a potential connection between time delay and system parameters for local finite-time stability is established. An estimate of the upper bound of the settling time depending on the time delay is derived. Examples are given to illustrate the effectiveness of the proposed results. Especially, a finite-time stabilizing memoryless controller for a class of second-order systems with time-varying delay is proposed.