Estimating the Domain of Attraction in Saturated Constrained Linear Discrete-Time Impulsive Systems Based on an Improved Convex Hull Representation

This paper explores methods that utilize an enhanced convex hull representation and composite quadratic Lyapunov functions to increase the estimation of the domain of attraction for linear discrete impulsive systems with actuator saturation. The primary objectives are to derive stability conditions using the improved convex hull representation and to develop strategies for estimating the domain of attraction internally by constructing composite quadratic Lyapunov functions. Several examples are provided to validate the effectiveness of the pronosed conditions.