Robust H∞ finite-time stabilization of nonlinear impulsive switched system with time-delays

This paper investigates robust H_∞ finite-time stabilization for a class of nonlinear impulsive switched systems with time-delays. Based on the piecewise Lyapunov functions theory and average dwell time approach, we obtain a sufficient condition that guarantees finite-time boundedness of the impulsive switched system with given switching law, and we further propose the design of switched state feedback control and impulsive control, which makes the system to be robust H_∞ finite time stable. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed design methods.