Finite-time Parallel Simultaneous Stabilization for Two Nonlinear Descriptor Systems

This paper investigates the finite-time parallel simultaneous stabilization problem for two nonlinear descriptor systems. Firstly, we provide a sufficient condition which can guarantee to impulse-free of descriptor system. Then, by constructing a suitable Lyapunov function and designing an effective output feedback controller, we combine two nonlinear descriptor systems to generate an augmented nonlinear descriptor system such that the system can be proved the finite-time stabilization. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed approach and the simulation results are showed in this paper.