Finite-time stochastic input-to-state stability of impulsive switched stochastic nonlinear systems

This paper investigates the finite-time stochastic input-to-state stability (FTSISS) problem for a class of impulsive switched stochastic nonlinear systems. An efficient lemma is firstly established to construct a generalized class Kℒ function. Further, a set of Lyapunov-based sufficient conditions are derived to check the finite-time stability in probability (FTSiP) and finite-time input-to-state stability (FTISS) properties of switched stochastic nonlinear systems with or without impulses. In particular, some useful results in favor of simulations are obtained in terms of average dwell-time technique, which illustrates the effectiveness of proposed results.