Stabilization of Impulsive Systems via Open-Loop Switched Control

In this chapter, the stabilization of nonlinear impulsive systems under time-dependent switching control is investigated. In the open-loop approach, the switching rule is programmed in advance and the switched system is composed entirely of unstable subsystems. Sufficient conditions are found that establish the existence of stabilizing time-dependent switching rules using the Campbell–Baker–Hausdorff formula and Lyapunov stability theory.