Stability analysis for Sampled-Data Control Systems using the input delay method

This paper investigates the sampled-data control of linear systems under uncertain sampling with the known upper bound sampling intervals. A new time-dependent Lyapunov functionals in the framework of input delay approach is employed in this paper, where the information of the actual sampling pattern can be taken into full consideration. Some sufficient conditions are derived to guarantee the closed-loop systems asymptotically stable, and one can obtain the largest sampling interval values by the derived stability results. One numerical example demonstrates the effectiveness of the obtained method and the improvement over some existing methods.