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.
['Xueyang Li', 'Weijie Mao']
Asynchronous finite-time H ∞ control for a class of nonlinear switched time-delay systems