Fast Finite-Time Stability and Settling-Time Estimation for Time-Varying Nonlinear Impulse Systems

This article investigates the fast finite-time stability (FTS) issue of time-varying nonlinear impulsive systems. In the previous results, when the initial state is far away from the origin, the convergence rate of the control strategy is not even as fast as the exponential convergence rate. To address this problem, two theorems that fully consider stabilizing impulses and destabilizing impulses are established to ensure the fast finite-time stability of the system. At the same time, the upper bound of settling-time is estimated.