Robust Stability Analysis for Continuous-time Linear System with Saturated Impulsive Constraint

This paper discusses robust stability analysis for continuous-time linear system with saturated impulsive constraint when the system is perturbed by some nonlinear disturbances. Firstly, we get a set of conditions for robust asymptotically stability for the system via comparison principle and Lyapunov's second method. Next, we find a set of conditions for exponentially stable of the system via Lyapunov's second method. Finally, we verify the validity of the obtained results via the numerical simulation examples.