New criteria of stochastic finite time stability for impulsive switched stochastic nonlinear systems

In this paper, some novel stochastic finite time stability (SFTS) criteria are derived for impulsive switched stochastic nonlinear systems (ISSNS) by using stochastic process theory, multiple Lyapunov functions, analytical techniques. Moreover, the estimations of stochastic settling time (SST) are also provided. Under the influence of destabilizing and stabilizing impulses, we consider situations where the subsystems are fully stable, the subsystems may be fully unstable, and some subsystems are stable while others are unstable, respectively. The conclusion reveals the relationship among the initial value, impulsive switching strength factors, impulsive switching time and SST. Finally, two numerical examples are provided to illustrate our conclusion.