Input-Output Finite-Time Stability and Stabilization of Descriptor Systems

In this paper, we develop the Input-output finite time stability and stabilization for the class of Linear Time-Varying descriptor systems by considering the disturbance input bound. First, a sufficient condition for input-output finite time stability with nonzero initial condition are investigates. Then, the improved the feedback control laws to guarantee the input-output finite time stabilization are introduced. For this goal, several techniques are employed, which can be utilized to reduce the conservatisme of the system. Ultimately, the numerical example are given to illustrate the effectiveness of the proposed strategy.