Novel Criteria on Finite-Time Stability of Impulsive Stochastic Nonlinear Systems

Dear Editor, This letter considers the finite-time stability (FTS) problem of generalized impulsive stochastic nonlinear systems (ISNS). By employing the stochastic Lyapunov and impulsive control approach, some novel criteria on FTS are presented, where both situations of stabilizing and destabilizing impulses are considered. Furthermore, new impulse-dependent estimation strategies of stochastic settling time (SST) are proposed. These estimation strategies establish quantitative relationships between the impulsive effects and the mathematical expectation of SST, which can directly assess the influence of impulses on the system performance. Finally, an example is given to validate the effectiveness of the presented results.