Resumen de Lyapunov conditions for finite-time stability of time-varying time-delay systems
Xiaodi Li, Xueyan Yang, Shiji Song
In this paper, we develop the Lyapunov–Razumikhin method to finite-time stability (FTS) and finite-time contractive stability (FTCS) of time-delay systems. Several Lyapunov-based sufficient conditions for establishing these FTS properties are obtained. Then the theoretical results are applied to FTS and FTCS for a class of linear time-varying (LTV) time-delay system. The efficiency of the proposed criteria is illustrated by three numerical examples, where a stabilizing memoryless controller for FTCS of a second-order LTV system with time delay is proposed.
