State Feedback Finite Time Stabilization for Continuous Time Switched Singular Systems with Quadratically Inner-Bounded Nonlinearities

This study addresses finite-time stability and stabilization for continuous time switched singular systems with quadratically inner-bounded nonlinearities. Firstly, by using average dwell time (ADT) approach, sufficient conditions are proposed to make the closed-loop system be regular, impulse-free, have a unique solution and be uniformly finite-time bounded. Then a novel linear matrix inequality (LMI) sufficient condition for the existence of state feedback controller is obtained by using certain matrix decoupling techniques, and the controller design method is given. Since the nonlinearities considered are a wider class of nonlinear terms than Lipschitz and one-sided Lipchitz nonlinearities, the existence and uniqueness of solution for this system is not a simple promotion of the previous results, and the proposed controller design method is also more general than the existing ones. Finally, a numerical example is provided to illustrate the effectiveness of the method proposed in this paper.