Finite-time Robust Simultaneous Stabilization for Two Nonlinear Descriptor Systems Subject to Disturbances

This paper studies the finite-time robust simultaneous stabilization problem for two nonlinear descriptor systems subject to disturbances by using state undecomposed method. By virtue of a suitable output feedback, a sufficient condition is first given to guarantee the closed-loop system impulse-free. Then, an augmented descriptor system is combined with the two systems subject to disturbances by using the system-augmentation technique. Furthermore, the L-2 gain of the descriptor system is no more than gamma via constructing a suitable output feedback H-infinity controller, and when w = 0, the augmented descriptor system is proved the finite-time stabilization, which can guarantee the finite-time simultaneous stabilization of the two nonlinear descriptor systems subject to disturbances. Finally, a numerical example is given to illustrate the effectiveness of the proposed results in this paper.