Input-output Finite-time Stability of Time-varying Descriptor Systems

摘要

In this paper, sufficient conditions for input-output finite-time stability of time-varying descriptor systems are considered. First, the mentioned function matrix E(t) for the time-varying descriptor systems is time-variant, which is a improvement from the previous articles. Second, two sufficient conditions of input-output finite-time stability are provided in terms of linear matrix inequality. Finally, two state feedback controllers are designed to make the closed-loop systems input-output finite time stable, and a numerical example is presented to illustrate the efficiency of the proposed result.