Asynchronous finite-time H∞ control for a class of nonlinear switched time-delay systems

This paper addresses the asynchronous finite-time H_∞ control problem for a class of nonlinear switched time-delay systems via state-feedback controller. Firstly, by using the Average Dwell Time (ADT) method and the Multiple Lyapunov functions (MLFs) theory, we provide some delay-dependent sufficient conditions which can guarantee the corresponding closed-loop system be finite-time stable. Secondly we further propose the design of asynchronous switched state-feedback controller which makes the corresponding closed-loop system be finite-time bounded with a prescribed H_∞ performance. At last, two numerical examples are provided to illustrate the effectiveness of the proposed methods.